Mon, 28 Nov 2016 16:45:48 +0200
New ignore list.
ulalume3@0 | 1 | # -*- coding: utf-8 -*- |
ulalume3@0 | 2 | """ |
ulalume3@0 | 3 | Copyright 2016 Volker Freudenthaler |
ulalume3@0 | 4 | |
ulalume3@0 | 5 | Licensed under the EUPL, Version 1.1 only (the "Licence"). |
ulalume3@0 | 6 | |
ulalume3@0 | 7 | You may not use this work except in compliance with the Licence. |
ulalume3@0 | 8 | A copy of the licence is distributed with the code. Alternatively, you may obtain |
ulalume3@0 | 9 | a copy of the Licence at: |
ulalume3@0 | 10 | |
ulalume3@0 | 11 | https://joinup.ec.europa.eu/community/eupl/og_page/eupl |
ulalume3@0 | 12 | |
ulalume3@0 | 13 | Unless required by applicable law or agreed to in writing, software distributed |
ulalume3@0 | 14 | under the Licence is distributed on an "AS IS" basis, WITHOUT WARRANTIES OR CONDITIONS |
ulalume3@0 | 15 | OF ANY KIND, either express or implied. See the Licence for the specific language governing |
ulalume3@0 | 16 | permissions and limitations under the Licence. |
ulalume3@0 | 17 | |
ulalume3@0 | 18 | Equation reference: http://www.atmos-meas-tech-discuss.net/amt-2015-338/amt-2015-338.pdf |
ulalume3@0 | 19 | With equations code from Appendix C |
volker@11 | 20 | Python 3.4.2 |
ulalume3@0 | 21 | """ |
binietoglou@19 | 22 | # !/usr/bin/env python3 |
volker@11 | 23 | |
volker@11 | 24 | # Comment: The code works with Python 2.7 with the help of following line, which enables Python2 to correctly interpret the Python 3 print statements. |
ulalume3@0 | 25 | from __future__ import print_function |
binietoglou@19 | 26 | |
binietoglou@19 | 27 | import os |
binietoglou@19 | 28 | import sys |
binietoglou@19 | 29 | |
ulalume3@0 | 30 | import numpy as np |
ulalume3@0 | 31 | |
volker@11 | 32 | # Comment: the seaborn library makes nicer plots, but the code works also without it. |
volker@11 | 33 | try: |
volker@11 | 34 | import seaborn as sns |
binietoglou@19 | 35 | |
volker@11 | 36 | sns_loaded = True |
volker@11 | 37 | except ImportError: |
volker@11 | 38 | sns_loaded = False |
volker@11 | 39 | |
ulalume3@0 | 40 | import matplotlib.pyplot as plt |
ulalume3@0 | 41 | from time import clock |
ulalume3@0 | 42 | |
binietoglou@19 | 43 | # from matplotlib.backends.backend_pdf import PdfPages |
binietoglou@19 | 44 | # pdffile = '{}.pdf'.format('path') |
binietoglou@19 | 45 | # pp = PdfPages(pdffile) |
ulalume3@0 | 46 | ## pp.savefig can be called multiple times to save to multiple pages |
binietoglou@19 | 47 | # pp.savefig() |
binietoglou@19 | 48 | # pp.close() |
ulalume3@0 | 49 | |
ulalume3@0 | 50 | from contextlib import contextmanager |
binietoglou@19 | 51 | |
binietoglou@19 | 52 | |
ulalume3@0 | 53 | @contextmanager |
ulalume3@0 | 54 | def redirect_stdout(new_target): |
binietoglou@19 | 55 | old_target, sys.stdout = sys.stdout, new_target # replace sys.stdout |
ulalume3@0 | 56 | try: |
binietoglou@19 | 57 | yield new_target # run some code with the replaced stdout |
ulalume3@0 | 58 | finally: |
ulalume3@0 | 59 | sys.stdout.flush() |
binietoglou@19 | 60 | sys.stdout = old_target # restore to the previous value |
binietoglou@19 | 61 | |
binietoglou@19 | 62 | |
ulalume3@0 | 63 | ''' |
ulalume3@0 | 64 | real_raw_input = vars(__builtins__).get('raw_input',input) |
ulalume3@0 | 65 | ''' |
ulalume3@0 | 66 | try: |
ulalume3@0 | 67 | import __builtin__ |
binietoglou@19 | 68 | |
ulalume3@0 | 69 | input = getattr(__builtin__, 'raw_input') |
ulalume3@0 | 70 | except (ImportError, AttributeError): |
ulalume3@0 | 71 | pass |
ulalume3@0 | 72 | |
ulalume3@0 | 73 | from distutils.util import strtobool |
binietoglou@19 | 74 | |
binietoglou@19 | 75 | |
ulalume3@0 | 76 | def user_yes_no_query(question): |
ulalume3@0 | 77 | sys.stdout.write('%s [y/n]\n' % question) |
ulalume3@0 | 78 | while True: |
ulalume3@0 | 79 | try: |
ulalume3@0 | 80 | return strtobool(input().lower()) |
ulalume3@0 | 81 | except ValueError: |
ulalume3@0 | 82 | sys.stdout.write('Please respond with \'y\' or \'n\'.\n') |
ulalume3@0 | 83 | |
binietoglou@19 | 84 | |
binietoglou@19 | 85 | # if user_yes_no_query('want to exit?') == 1: sys.exit() |
ulalume3@0 | 86 | |
ulalume3@0 | 87 | abspath = os.path.abspath(__file__) |
ulalume3@0 | 88 | dname = os.path.dirname(abspath) |
ulalume3@0 | 89 | fname = os.path.basename(abspath) |
ulalume3@0 | 90 | os.chdir(dname) |
ulalume3@0 | 91 | |
binietoglou@19 | 92 | # PrintToOutputFile = True |
ulalume3@0 | 93 | |
binietoglou@19 | 94 | sqr05 = 0.5 ** 0.5 |
ulalume3@0 | 95 | |
volker@16 | 96 | # Do you want to calculate the errors? If not, just the GHK-parameters are determined. |
volker@16 | 97 | Error_Calc = True |
ulalume3@0 | 98 | # ---- Initial definition of variables; the actual values will be read in with exec(open('./optic_input.py').read()) below |
ulalume3@0 | 99 | LID = "internal" |
ulalume3@0 | 100 | EID = "internal" |
ulalume3@0 | 101 | # --- IL Laser IL and +-Uncertainty |
binietoglou@19 | 102 | bL = 1. # degree of linear polarization; default 1 |
binietoglou@19 | 103 | RotL, dRotL, nRotL = 0.0, 0.0, 1 # alpha; rotation of laser polarization in degrees; default 0 |
ulalume3@0 | 104 | # --- ME Emitter and +-Uncertainty |
binietoglou@19 | 105 | DiE, dDiE, nDiE = 0., 0.00, 1 # Diattenuation |
binietoglou@19 | 106 | TiE = 1. # Unpolarized transmittance |
binietoglou@19 | 107 | RetE, dRetE, nRetE = 0., 180.0, 0 # Retardance in degrees |
binietoglou@19 | 108 | RotE, dRotE, nRotE = 0., 0.0, 0 # beta: Rotation of optical element in degrees |
ulalume3@0 | 109 | # --- MO Receiver Optics including telescope |
binietoglou@19 | 110 | DiO, dDiO, nDiO = -0.055, 0.003, 1 |
binietoglou@19 | 111 | TiO = 0.9 |
binietoglou@19 | 112 | RetO, dRetO, nRetO = 0., 180.0, 2 |
binietoglou@19 | 113 | RotO, dRotO, nRotO = 0., 0.1, 1 # gamma |
ulalume3@0 | 114 | # --- PBS MT transmitting path defined with (TS,TP); and +-Uncertainty |
binietoglou@19 | 115 | TP, dTP, nTP = 0.98, 0.02, 1 |
binietoglou@19 | 116 | TS, dTS, nTS = 0.001, 0.001, 1 |
ulalume3@0 | 117 | TiT = 0.5 * (TP + TS) |
binietoglou@19 | 118 | DiT = (TP - TS) / (TP + TS) |
ulalume3@0 | 119 | # PolFilter |
binietoglou@19 | 120 | RetT, dRetT, nRetT = 0., 180., 0 |
binietoglou@19 | 121 | ERaT, dERaT, nERaT = 0.001, 0.001, 1 |
binietoglou@19 | 122 | RotaT, dRotaT, nRotaT = 0., 3., 1 |
binietoglou@19 | 123 | DaT = (1 - ERaT) / (1 + ERaT) |
binietoglou@19 | 124 | TaT = 0.5 * (1 + ERaT) |
ulalume3@0 | 125 | # --- PBS MR reflecting path defined with (RS,RP); and +-Uncertainty |
volker@13 | 126 | RS_RP_depend_on_TS_TP = False |
binietoglou@19 | 127 | if (RS_RP_depend_on_TS_TP): |
binietoglou@19 | 128 | RP, dRP, nRP = 1 - TP, 0.00, 0 |
binietoglou@19 | 129 | RS, dRS, nRS = 1 - TS, 0.00, 0 |
volker@13 | 130 | else: |
binietoglou@19 | 131 | RP, dRP, nRP = 0.05, 0.01, 1 |
binietoglou@19 | 132 | RS, dRS, nRS = 0.98, 0.01, 1 |
ulalume3@0 | 133 | TiR = 0.5 * (RP + RS) |
binietoglou@19 | 134 | DiR = (RP - RS) / (RP + RS) |
ulalume3@0 | 135 | # PolFilter |
binietoglou@19 | 136 | RetR, dRetR, nRetR = 0., 180., 0 |
binietoglou@19 | 137 | ERaR, dERaR, nERaR = 0.001, 0.001, 1 |
binietoglou@19 | 138 | RotaR, dRotaR, nRotaR = 90., 3., 1 |
binietoglou@19 | 139 | DaR = (1 - ERaR) / (1 + ERaR) |
binietoglou@19 | 140 | TaR = 0.5 * (1 + ERaR) |
ulalume3@0 | 141 | |
ulalume3@0 | 142 | # Parellel signal detected in the transmitted channel => Y = 1, or in the reflected channel => Y = -1 |
ulalume3@0 | 143 | Y = -1. |
ulalume3@0 | 144 | |
ulalume3@0 | 145 | # Calibrator = type defined by matrix values |
binietoglou@19 | 146 | LocC = 4 # location of calibrator: behind laser = 1; behind emitter = 2; before receiver = 3; before PBS = 4 |
ulalume3@0 | 147 | |
binietoglou@19 | 148 | TypeC = 3 # linear polarizer calibrator |
ulalume3@0 | 149 | # example with extinction ratio 0.001 |
binietoglou@19 | 150 | DiC, dDiC, nDiC = 1.0, 0., 0 # ideal 1.0 |
binietoglou@19 | 151 | TiC = 0.5 # ideal 0.5 |
binietoglou@19 | 152 | RetC, dRetC, nRetC = 0., 0., 0 |
binietoglou@19 | 153 | RotC, dRotC, nRotC = 0.0, 0.1, 0 # constant calibrator offset epsilon |
binietoglou@19 | 154 | RotationErrorEpsilonForNormalMeasurements = False # is in general False for TypeC == 3 calibrator |
ulalume3@0 | 155 | |
ulalume3@0 | 156 | # Rotation error without calibrator: if False, then epsilon = 0 for normal measurements |
ulalume3@0 | 157 | RotationErrorEpsilonForNormalMeasurements = True |
ulalume3@0 | 158 | |
ulalume3@0 | 159 | # LDRCal assumed atmospheric linear depolarization ratio during the calibration measurements (first guess) |
binietoglou@19 | 160 | LDRCal0, dLDRCal, nLDRCal = 0.25, 0.04, 1 |
ulalume3@0 | 161 | LDRCal = LDRCal0 |
ulalume3@0 | 162 | # measured LDRm will be corrected with calculated parameters |
ulalume3@0 | 163 | LDRmeas = 0.015 |
ulalume3@0 | 164 | # LDRtrue for simulation of measurement => LDRsim |
ulalume3@0 | 165 | LDRtrue = 0.5 |
ulalume3@0 | 166 | LDRtrue2 = 0.004 |
ulalume3@0 | 167 | |
ulalume3@0 | 168 | # Initialize other values to 0 |
ulalume3@0 | 169 | ER, nER, dER = 0.001, 0, 0.001 |
ulalume3@0 | 170 | K = 0. |
ulalume3@0 | 171 | Km = 0. |
ulalume3@0 | 172 | Kp = 0. |
ulalume3@0 | 173 | LDRcorr = 0. |
ulalume3@0 | 174 | Eta = 0. |
ulalume3@0 | 175 | Ir = 0. |
ulalume3@0 | 176 | It = 0. |
ulalume3@0 | 177 | h = 1. |
ulalume3@0 | 178 | |
ulalume3@0 | 179 | Loc = ['', 'behind laser', 'behind emitter', 'before receiver', 'before PBS'] |
binietoglou@19 | 180 | Type = ['', 'mechanical rotator', 'hwp rotator', 'linear polarizer', 'qwp rotator', 'circular polarizer', |
binietoglou@19 | 181 | 'real HWP +-22.5°'] |
ulalume3@0 | 182 | dY = ['reflected channel', '', 'transmitted channel'] |
ulalume3@0 | 183 | |
ulalume3@0 | 184 | # end of initial definition of variables |
ulalume3@0 | 185 | # ******************************************************************************************************************************* |
ulalume3@0 | 186 | |
ulalume3@0 | 187 | # --- Read actual lidar system parameters from ./optic_input.py (must be in the same directory) |
volker@11 | 188 | InputFile = 'optic_input_example_lidar.py' |
binietoglou@19 | 189 | # InputFile = 'optic_input_ver6e_POLIS_355.py' |
binietoglou@19 | 190 | # InputFile = 'optic_input_ver6e_POLIS_355_JA.py' |
binietoglou@19 | 191 | # InputFile = 'optic_input_ver6c_POLIS_532.py' |
binietoglou@19 | 192 | # InputFile = 'optic_input_ver6e_POLIS_532.py' |
binietoglou@19 | 193 | # InputFile = 'optic_input_ver8c_POLIS_532.py' |
binietoglou@19 | 194 | # InputFile = 'optic_input_ver6e_MUSA.py' |
binietoglou@19 | 195 | # InputFile = 'optic_input_ver6e_MUSA_JA.py' |
binietoglou@19 | 196 | # InputFile = 'optic_input_ver6e_PollyXTSea.py' |
binietoglou@19 | 197 | # InputFile = 'optic_input_ver6e_PollyXTSea_JA.py' |
binietoglou@19 | 198 | # InputFile = 'optic_input_ver6e_PollyXT_RALPH.py' |
binietoglou@19 | 199 | # InputFile = 'optic_input_ver8c_PollyXT_RALPH.py' |
binietoglou@19 | 200 | # InputFile = 'optic_input_ver8c_PollyXT_RALPH_2.py' |
binietoglou@19 | 201 | # InputFile = 'optic_input_ver8c_PollyXT_RALPH_3.py' |
binietoglou@19 | 202 | # InputFile = 'optic_input_ver8c_PollyXT_RALPH_4.py' |
binietoglou@19 | 203 | # InputFile = 'optic_input_ver8c_PollyXT_RALPH_5.py' |
binietoglou@19 | 204 | # InputFile = 'optic_input_ver8c_PollyXT_RALPH_6.py' |
binietoglou@19 | 205 | # InputFile = 'optic_input_ver8c_PollyXT_RALPH_7.py' |
binietoglou@19 | 206 | # InputFile = 'optic_input_ver8a_MOHP_DPL_355.py' |
binietoglou@19 | 207 | # InputFile = 'optic_input_ver9_MOHP_DPL_355.py' |
binietoglou@19 | 208 | # InputFile = 'optic_input_ver6e_RALI.py' |
binietoglou@19 | 209 | # InputFile = 'optic_input_ver6e_RALI_JA.py' |
binietoglou@19 | 210 | # InputFile = 'optic_input_ver6e_RALI_new.py' |
binietoglou@19 | 211 | # InputFile = 'optic_input_ver6e_RALI_act.py' |
binietoglou@19 | 212 | # InputFile = 'optic_input_ver6e_MULHACEN.py' |
binietoglou@19 | 213 | # InputFile = 'optic_input_ver6e_MULHACEN_JA.py' |
binietoglou@19 | 214 | # InputFile = 'optic_input_ver6e-IPRAL.py' |
binietoglou@19 | 215 | # InputFile = 'optic_input_ver6e-IPRAL_JA.py' |
binietoglou@19 | 216 | # InputFile = 'optic_input_ver6e-LB21.py' |
binietoglou@19 | 217 | # InputFile = 'optic_input_ver6e-LB21_JA.py' |
binietoglou@19 | 218 | # InputFile = 'optic_input_ver6e_Bertha_b_355.py' |
binietoglou@19 | 219 | # InputFile = 'optic_input_ver6e_Bertha_b_532.py' |
binietoglou@19 | 220 | # InputFile = 'optic_input_ver6e_Bertha_b_1064.py' |
ulalume3@0 | 221 | |
ulalume3@0 | 222 | ''' |
ulalume3@0 | 223 | print("From ", dname) |
ulalume3@0 | 224 | print("Running ", fname) |
ulalume3@0 | 225 | print("Reading input file ", InputFile, " for") |
ulalume3@0 | 226 | ''' |
ulalume3@0 | 227 | input_path = os.path.join('.', 'system_settings', InputFile) |
ulalume3@0 | 228 | # this works with Python 2 - and 3? |
binietoglou@19 | 229 | exec (open(input_path).read(), globals()) |
ulalume3@0 | 230 | # end of read actual system parameters |
ulalume3@0 | 231 | |
ulalume3@0 | 232 | # --- Manual Parameter Change --- |
ulalume3@0 | 233 | # (use for quick parameter changes without changing the input file ) |
binietoglou@19 | 234 | # DiO = 0. |
binietoglou@19 | 235 | # LDRtrue = 0.45 |
binietoglou@19 | 236 | # LDRtrue2 = 0.004 |
binietoglou@19 | 237 | # Y = -1 |
binietoglou@19 | 238 | # LocC = 4 #location of calibrator: 1 = behind laser; 2 = behind emitter; 3 = before receiver; 4 = before PBS |
ulalume3@0 | 239 | ##TypeC = 6 Don't change the TypeC here |
binietoglou@19 | 240 | # RotationErrorEpsilonForNormalMeasurements = True |
binietoglou@19 | 241 | # LDRCal = 0.25 |
binietoglou@19 | 242 | # bL = 0.8 |
ulalume3@0 | 243 | ## --- Errors |
ulalume3@0 | 244 | RotL0, dRotL, nRotL = RotL, dRotL, nRotL |
ulalume3@0 | 245 | |
binietoglou@19 | 246 | DiE0, dDiE, nDiE = DiE, dDiE, nDiE |
ulalume3@0 | 247 | RetE0, dRetE, nRetE = RetE, dRetE, nRetE |
ulalume3@0 | 248 | RotE0, dRotE, nRotE = RotE, dRotE, nRotE |
ulalume3@0 | 249 | |
binietoglou@19 | 250 | DiO0, dDiO, nDiO = DiO, dDiO, nDiO |
ulalume3@0 | 251 | RetO0, dRetO, nRetO = RetO, dRetO, nRetO |
ulalume3@0 | 252 | RotO0, dRotO, nRotO = RotO, dRotO, nRotO |
ulalume3@0 | 253 | |
binietoglou@19 | 254 | DiC0, dDiC, nDiC = DiC, dDiC, nDiC |
ulalume3@0 | 255 | RetC0, dRetC, nRetC = RetC, dRetC, nRetC |
ulalume3@0 | 256 | RotC0, dRotC, nRotC = RotC, dRotC, nRotC |
ulalume3@0 | 257 | |
binietoglou@19 | 258 | TP0, dTP, nTP = TP, dTP, nTP |
binietoglou@19 | 259 | TS0, dTS, nTS = TS, dTS, nTS |
ulalume3@0 | 260 | RetT0, dRetT, nRetT = RetT, dRetT, nRetT |
ulalume3@0 | 261 | |
ulalume3@0 | 262 | ERaT0, dERaT, nERaT = ERaT, dERaT, nERaT |
binietoglou@19 | 263 | RotaT0, dRotaT, nRotaT = RotaT, dRotaT, nRotaT |
ulalume3@0 | 264 | |
binietoglou@19 | 265 | RP0, dRP, nRP = RP, dRP, nRP |
binietoglou@19 | 266 | RS0, dRS, nRS = RS, dRS, nRS |
ulalume3@0 | 267 | RetR0, dRetR, nRetR = RetR, dRetR, nRetR |
ulalume3@0 | 268 | |
ulalume3@0 | 269 | ERaR0, dERaR, nERaR = ERaR, dERaR, nERaR |
binietoglou@19 | 270 | RotaR0, dRotaR, nRotaR = RotaR, dRotaR, nRotaR |
ulalume3@0 | 271 | |
binietoglou@19 | 272 | LDRCal0, dLDRCal, nLDRCal = LDRCal, dLDRCal, nLDRCal |
binietoglou@19 | 273 | # LDRCal0,dLDRCal,nLDRCal=LDRCal,dLDRCal,0 |
ulalume3@0 | 274 | # ---------- End of manual parameter change |
ulalume3@0 | 275 | |
ulalume3@0 | 276 | RotL, RotE, RetE, DiE, RotO, RetO, DiO, RotC, RetC, DiC = RotL0, RotE0, RetE0, DiE0, RotO0, RetO0, DiO0, RotC0, RetC0, DiC0 |
binietoglou@19 | 277 | TP, TS, RP, RS, ERaT, RotaT, RetT, ERaR, RotaR, RetR = TP0, TS0, RP0, RS0, ERaT0, RotaT0, RetT0, ERaR0, RotaR0, RetR0 |
ulalume3@0 | 278 | LDRCal = LDRCal0 |
binietoglou@19 | 279 | DTa0, TTa0, DRa0, TRa0, LDRsimx, LDRCorr = 0, 0, 0, 0, 0, 0 |
ulalume3@0 | 280 | |
ulalume3@0 | 281 | TiT = 0.5 * (TP + TS) |
binietoglou@19 | 282 | DiT = (TP - TS) / (TP + TS) |
binietoglou@19 | 283 | ZiT = (1. - DiT ** 2) ** 0.5 |
ulalume3@0 | 284 | TiR = 0.5 * (RP + RS) |
binietoglou@19 | 285 | DiR = (RP - RS) / (RP + RS) |
binietoglou@19 | 286 | ZiR = (1. - DiR ** 2) ** 0.5 |
binietoglou@19 | 287 | |
ulalume3@0 | 288 | |
volker@13 | 289 | # --- this subroutine is for the calculation with certain fixed parameters ----------------------------------------------------- |
binietoglou@19 | 290 | def Calc(RotL, RotE, RetE, DiE, RotO, RetO, DiO, RotC, RetC, DiC, TP, TS, RP, RS, ERaT, RotaT, RetT, ERaR, RotaR, RetR, |
binietoglou@19 | 291 | LDRCal): |
ulalume3@0 | 292 | # ---- Do the calculations of bra-ket vectors |
ulalume3@0 | 293 | h = -1. if TypeC == 2 else 1 |
ulalume3@0 | 294 | # from input file: assumed LDRCal for calibration measurements |
binietoglou@19 | 295 | aCal = (1. - LDRCal) / (1 + LDRCal) |
ulalume3@0 | 296 | # from input file: measured LDRm and true LDRtrue, LDRtrue2 => |
binietoglou@19 | 297 | # ameas = (1.-LDRmeas)/(1+LDRmeas) |
binietoglou@19 | 298 | atrue = (1. - LDRtrue) / (1 + LDRtrue) |
binietoglou@19 | 299 | # atrue2 = (1.-LDRtrue2)/(1+LDRtrue2) |
ulalume3@0 | 300 | |
ulalume3@0 | 301 | # angles of emitter and laser and calibrator and receiver optics |
ulalume3@0 | 302 | # RotL = alpha, RotE = beta, RotO = gamma, RotC = epsilon |
binietoglou@19 | 303 | S2a = np.sin(2 * np.deg2rad(RotL)) |
binietoglou@19 | 304 | C2a = np.cos(2 * np.deg2rad(RotL)) |
binietoglou@19 | 305 | S2b = np.sin(2 * np.deg2rad(RotE)) |
binietoglou@19 | 306 | C2b = np.cos(2 * np.deg2rad(RotE)) |
binietoglou@19 | 307 | S2ab = np.sin(np.deg2rad(2 * RotL - 2 * RotE)) |
binietoglou@19 | 308 | C2ab = np.cos(np.deg2rad(2 * RotL - 2 * RotE)) |
binietoglou@19 | 309 | S2g = np.sin(np.deg2rad(2 * RotO)) |
binietoglou@19 | 310 | C2g = np.cos(np.deg2rad(2 * RotO)) |
ulalume3@0 | 311 | |
ulalume3@0 | 312 | # Laser with Degree of linear polarization DOLP = bL |
ulalume3@0 | 313 | IinL = 1. |
ulalume3@0 | 314 | QinL = bL |
ulalume3@0 | 315 | UinL = 0. |
binietoglou@19 | 316 | VinL = (1. - bL ** 2) ** 0.5 |
ulalume3@0 | 317 | |
ulalume3@0 | 318 | # Stokes Input Vector rotation Eq. E.4 |
binietoglou@19 | 319 | A = C2a * QinL - S2a * UinL |
binietoglou@19 | 320 | B = S2a * QinL + C2a * UinL |
ulalume3@0 | 321 | # Stokes Input Vector rotation Eq. E.9 |
binietoglou@19 | 322 | C = C2ab * QinL - S2ab * UinL |
binietoglou@19 | 323 | D = S2ab * QinL + C2ab * UinL |
ulalume3@0 | 324 | |
ulalume3@0 | 325 | # emitter optics |
ulalume3@0 | 326 | CosE = np.cos(np.deg2rad(RetE)) |
ulalume3@0 | 327 | SinE = np.sin(np.deg2rad(RetE)) |
binietoglou@19 | 328 | ZiE = (1. - DiE ** 2) ** 0.5 |
binietoglou@19 | 329 | WiE = (1. - ZiE * CosE) |
ulalume3@0 | 330 | |
ulalume3@0 | 331 | # Stokes Input Vector after emitter optics equivalent to Eq. E.9 with already rotated input vector from Eq. E.4 |
ulalume3@0 | 332 | # b = beta |
binietoglou@19 | 333 | IinE = (IinL + DiE * C) |
binietoglou@19 | 334 | QinE = (C2b * DiE * IinL + A + S2b * (WiE * D - ZiE * SinE * VinL)) |
binietoglou@19 | 335 | UinE = (S2b * DiE * IinL + B - C2b * (WiE * D - ZiE * SinE * VinL)) |
binietoglou@19 | 336 | VinE = (-ZiE * SinE * D + ZiE * CosE * VinL) |
ulalume3@0 | 337 | |
ulalume3@0 | 338 | # Stokes Input Vector before receiver optics Eq. E.19 (after atmosphere F) |
ulalume3@0 | 339 | IinF = IinE |
binietoglou@19 | 340 | QinF = aCal * QinE |
binietoglou@19 | 341 | UinF = -aCal * UinE |
binietoglou@19 | 342 | VinF = (1. - 2. * aCal) * VinE |
ulalume3@0 | 343 | |
ulalume3@0 | 344 | # receiver optics |
ulalume3@0 | 345 | CosO = np.cos(np.deg2rad(RetO)) |
ulalume3@0 | 346 | SinO = np.sin(np.deg2rad(RetO)) |
binietoglou@19 | 347 | ZiO = (1. - DiO ** 2) ** 0.5 |
binietoglou@19 | 348 | WiO = (1. - ZiO * CosO) |
ulalume3@0 | 349 | |
ulalume3@0 | 350 | # calibrator |
ulalume3@0 | 351 | CosC = np.cos(np.deg2rad(RetC)) |
ulalume3@0 | 352 | SinC = np.sin(np.deg2rad(RetC)) |
binietoglou@19 | 353 | ZiC = (1. - DiC ** 2) ** 0.5 |
binietoglou@19 | 354 | WiC = (1. - ZiC * CosC) |
ulalume3@0 | 355 | |
ulalume3@0 | 356 | # Stokes Input Vector before the polarising beam splitter Eq. E.31 |
binietoglou@19 | 357 | A = C2g * QinE - S2g * UinE |
binietoglou@19 | 358 | B = S2g * QinE + C2g * UinE |
ulalume3@0 | 359 | |
binietoglou@19 | 360 | IinP = (IinE + DiO * aCal * A) |
binietoglou@19 | 361 | QinP = (C2g * DiO * IinE + aCal * QinE - S2g * (WiO * aCal * B + ZiO * SinO * (1 - 2 * aCal) * VinE)) |
binietoglou@19 | 362 | UinP = (S2g * DiO * IinE - aCal * UinE + C2g * (WiO * aCal * B + ZiO * SinO * (1 - 2 * aCal) * VinE)) |
binietoglou@19 | 363 | VinP = (ZiO * SinO * aCal * B + ZiO * CosO * (1 - 2 * aCal) * VinE) |
ulalume3@0 | 364 | |
binietoglou@19 | 365 | # ------------------------- |
ulalume3@0 | 366 | # F11 assuemd to be = 1 => measured: F11m = IinP / IinE with atrue |
binietoglou@19 | 367 | # F11sim = TiO*(IinE + DiO*atrue*A)/IinE |
binietoglou@19 | 368 | # ------------------------- |
ulalume3@0 | 369 | |
ulalume3@0 | 370 | # analyser |
binietoglou@19 | 371 | # For POLLY_XTs |
binietoglou@19 | 372 | if (RS_RP_depend_on_TS_TP): |
volker@13 | 373 | RS = 1 - TS |
volker@13 | 374 | RP = 1 - TP |
ulalume3@0 | 375 | TiT = 0.5 * (TP + TS) |
binietoglou@19 | 376 | DiT = (TP - TS) / (TP + TS) |
binietoglou@19 | 377 | ZiT = (1. - DiT ** 2) ** 0.5 |
ulalume3@0 | 378 | TiR = 0.5 * (RP + RS) |
binietoglou@19 | 379 | DiR = (RP - RS) / (RP + RS) |
binietoglou@19 | 380 | ZiR = (1. - DiR ** 2) ** 0.5 |
ulalume3@0 | 381 | CosT = np.cos(np.deg2rad(RetT)) |
ulalume3@0 | 382 | SinT = np.sin(np.deg2rad(RetT)) |
ulalume3@0 | 383 | CosR = np.cos(np.deg2rad(RetR)) |
ulalume3@0 | 384 | SinR = np.sin(np.deg2rad(RetR)) |
ulalume3@0 | 385 | |
binietoglou@19 | 386 | DaT = (1 - ERaT) / (1 + ERaT) |
binietoglou@19 | 387 | DaR = (1 - ERaR) / (1 + ERaR) |
binietoglou@19 | 388 | TaT = 0.5 * (1 + ERaT) |
binietoglou@19 | 389 | TaR = 0.5 * (1 + ERaR) |
ulalume3@0 | 390 | |
binietoglou@19 | 391 | S2aT = np.sin(np.deg2rad(h * 2 * RotaT)) |
binietoglou@19 | 392 | C2aT = np.cos(np.deg2rad(2 * RotaT)) |
binietoglou@19 | 393 | S2aR = np.sin(np.deg2rad(h * 2 * RotaR)) |
binietoglou@19 | 394 | C2aR = np.cos(np.deg2rad(2 * RotaR)) |
ulalume3@0 | 395 | |
ulalume3@0 | 396 | # Aanalyzer As before the PBS Eq. D.5 |
binietoglou@19 | 397 | ATP1 = (1 + C2aT * DaT * DiT) |
binietoglou@19 | 398 | ATP2 = Y * (DiT + C2aT * DaT) |
binietoglou@19 | 399 | ATP3 = Y * S2aT * DaT * ZiT * CosT |
binietoglou@19 | 400 | ATP4 = S2aT * DaT * ZiT * SinT |
binietoglou@19 | 401 | ATP = np.array([ATP1, ATP2, ATP3, ATP4]) |
ulalume3@0 | 402 | |
binietoglou@19 | 403 | ARP1 = (1 + C2aR * DaR * DiR) |
binietoglou@19 | 404 | ARP2 = Y * (DiR + C2aR * DaR) |
binietoglou@19 | 405 | ARP3 = Y * S2aR * DaR * ZiR * CosR |
binietoglou@19 | 406 | ARP4 = S2aR * DaR * ZiR * SinR |
binietoglou@19 | 407 | ARP = np.array([ARP1, ARP2, ARP3, ARP4]) |
ulalume3@0 | 408 | |
binietoglou@19 | 409 | DTa = ATP2 * Y / ATP1 |
binietoglou@19 | 410 | DRa = ARP2 * Y / ARP1 |
ulalume3@0 | 411 | |
ulalume3@0 | 412 | # ---- Calculate signals and correction parameters for diffeent locations and calibrators |
ulalume3@0 | 413 | if LocC == 4: # Calibrator before the PBS |
binietoglou@19 | 414 | # print("Calibrator location not implemented yet") |
ulalume3@0 | 415 | |
binietoglou@19 | 416 | # S2ge = np.sin(np.deg2rad(2*RotO + h*2*RotC)) |
binietoglou@19 | 417 | # C2ge = np.cos(np.deg2rad(2*RotO + h*2*RotC)) |
binietoglou@19 | 418 | S2e = np.sin(np.deg2rad(h * 2 * RotC)) |
binietoglou@19 | 419 | C2e = np.cos(np.deg2rad(2 * RotC)) |
ulalume3@0 | 420 | # rotated AinP by epsilon Eq. C.3 |
binietoglou@19 | 421 | ATP2e = C2e * ATP2 + S2e * ATP3 |
binietoglou@19 | 422 | ATP3e = C2e * ATP3 - S2e * ATP2 |
binietoglou@19 | 423 | ARP2e = C2e * ARP2 + S2e * ARP3 |
binietoglou@19 | 424 | ARP3e = C2e * ARP3 - S2e * ARP2 |
binietoglou@19 | 425 | ATPe = np.array([ATP1, ATP2e, ATP3e, ATP4]) |
binietoglou@19 | 426 | ARPe = np.array([ARP1, ARP2e, ARP3e, ARP4]) |
ulalume3@0 | 427 | # Stokes Input Vector before the polarising beam splitter Eq. E.31 |
binietoglou@19 | 428 | A = C2g * QinE - S2g * UinE |
binietoglou@19 | 429 | B = S2g * QinE + C2g * UinE |
binietoglou@19 | 430 | # C = (WiO*aCal*B + ZiO*SinO*(1-2*aCal)*VinE) |
binietoglou@19 | 431 | Co = ZiO * SinO * VinE |
binietoglou@19 | 432 | Ca = (WiO * B - 2 * ZiO * SinO * VinE) |
binietoglou@19 | 433 | # C = Co + aCal*Ca |
binietoglou@19 | 434 | # IinP = (IinE + DiO*aCal*A) |
binietoglou@19 | 435 | # QinP = (C2g*DiO*IinE + aCal*QinE - S2g*C) |
binietoglou@19 | 436 | # UinP = (S2g*DiO*IinE - aCal*UinE + C2g*C) |
binietoglou@19 | 437 | # VinP = (ZiO*SinO*aCal*B + ZiO*CosO*(1-2*aCal)*VinE) |
ulalume3@0 | 438 | IinPo = IinE |
binietoglou@19 | 439 | QinPo = (C2g * DiO * IinE - S2g * Co) |
binietoglou@19 | 440 | UinPo = (S2g * DiO * IinE + C2g * Co) |
binietoglou@19 | 441 | VinPo = ZiO * CosO * VinE |
ulalume3@0 | 442 | |
binietoglou@19 | 443 | IinPa = DiO * A |
binietoglou@19 | 444 | QinPa = QinE - S2g * Ca |
binietoglou@19 | 445 | UinPa = -UinE + C2g * Ca |
binietoglou@19 | 446 | VinPa = ZiO * (SinO * B - 2 * CosO * VinE) |
ulalume3@0 | 447 | |
binietoglou@19 | 448 | IinP = IinPo + aCal * IinPa |
binietoglou@19 | 449 | QinP = QinPo + aCal * QinPa |
binietoglou@19 | 450 | UinP = UinPo + aCal * UinPa |
binietoglou@19 | 451 | VinP = VinPo + aCal * VinPa |
ulalume3@0 | 452 | # Stokes Input Vector before the polarising beam splitter rotated by epsilon Eq. C.3 |
binietoglou@19 | 453 | # QinPe = C2e*QinP + S2e*UinP |
binietoglou@19 | 454 | # UinPe = C2e*UinP - S2e*QinP |
binietoglou@19 | 455 | QinPoe = C2e * QinPo + S2e * UinPo |
binietoglou@19 | 456 | UinPoe = C2e * UinPo - S2e * QinPo |
binietoglou@19 | 457 | QinPae = C2e * QinPa + S2e * UinPa |
binietoglou@19 | 458 | UinPae = C2e * UinPa - S2e * QinPa |
binietoglou@19 | 459 | QinPe = C2e * QinP + S2e * UinP |
binietoglou@19 | 460 | UinPe = C2e * UinP - S2e * QinP |
ulalume3@0 | 461 | |
ulalume3@0 | 462 | # Calibration signals and Calibration correction K from measurements with LDRCal / aCal |
ulalume3@0 | 463 | if (TypeC == 2) or (TypeC == 1): # rotator calibration Eq. C.4 |
ulalume3@0 | 464 | # parameters for calibration with aCal |
binietoglou@19 | 465 | AT = ATP1 * IinP + h * ATP4 * VinP |
binietoglou@19 | 466 | BT = ATP3e * QinP - h * ATP2e * UinP |
binietoglou@19 | 467 | AR = ARP1 * IinP + h * ARP4 * VinP |
binietoglou@19 | 468 | BR = ARP3e * QinP - h * ARP2e * UinP |
ulalume3@0 | 469 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 470 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 471 | IS1 = np.array([IinPo, QinPo, UinPo, VinPo]) |
binietoglou@19 | 472 | IS2 = np.array([IinPa, QinPa, UinPa, VinPa]) |
binietoglou@19 | 473 | GT = np.dot(ATP, IS1) |
binietoglou@19 | 474 | GR = np.dot(ARP, IS1) |
binietoglou@19 | 475 | HT = np.dot(ATP, IS2) |
binietoglou@19 | 476 | HR = np.dot(ARP, IS2) |
ulalume3@0 | 477 | else: |
binietoglou@19 | 478 | IS1 = np.array([IinPo, QinPo, UinPo, VinPo]) |
binietoglou@19 | 479 | IS2 = np.array([IinPa, QinPa, UinPa, VinPa]) |
binietoglou@19 | 480 | GT = np.dot(ATPe, IS1) |
binietoglou@19 | 481 | GR = np.dot(ARPe, IS1) |
binietoglou@19 | 482 | HT = np.dot(ATPe, IS2) |
binietoglou@19 | 483 | HR = np.dot(ARPe, IS2) |
ulalume3@0 | 484 | elif (TypeC == 3) or (TypeC == 4): # linear polariser calibration Eq. C.5 |
ulalume3@0 | 485 | # parameters for calibration with aCal |
binietoglou@19 | 486 | AT = ATP1 * IinP + ATP3e * UinPe + ZiC * CosC * (ATP2e * QinPe + ATP4 * VinP) |
binietoglou@19 | 487 | BT = DiC * (ATP1 * UinPe + ATP3e * IinP) - ZiC * SinC * (ATP2e * VinP - ATP4 * QinPe) |
binietoglou@19 | 488 | AR = ARP1 * IinP + ARP3e * UinPe + ZiC * CosC * (ARP2e * QinPe + ARP4 * VinP) |
binietoglou@19 | 489 | BR = DiC * (ARP1 * UinPe + ARP3e * IinP) - ZiC * SinC * (ARP2e * VinP - ARP4 * QinPe) |
ulalume3@0 | 490 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 491 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 492 | IS1 = np.array([IinPo, QinPo, UinPo, VinPo]) |
binietoglou@19 | 493 | IS2 = np.array([IinPa, QinPa, UinPa, VinPa]) |
binietoglou@19 | 494 | GT = np.dot(ATP, IS1) |
binietoglou@19 | 495 | GR = np.dot(ARP, IS1) |
binietoglou@19 | 496 | HT = np.dot(ATP, IS2) |
binietoglou@19 | 497 | HR = np.dot(ARP, IS2) |
ulalume3@0 | 498 | else: |
binietoglou@19 | 499 | IS1e = np.array([IinPo + DiC * QinPoe, DiC * IinPo + QinPoe, ZiC * (CosC * UinPoe + SinC * VinPo), |
binietoglou@19 | 500 | -ZiC * (SinC * UinPoe - CosC * VinPo)]) |
binietoglou@19 | 501 | IS2e = np.array([IinPa + DiC * QinPae, DiC * IinPa + QinPae, ZiC * (CosC * UinPae + SinC * VinPa), |
binietoglou@19 | 502 | -ZiC * (SinC * UinPae - CosC * VinPa)]) |
binietoglou@19 | 503 | GT = np.dot(ATPe, IS1e) |
binietoglou@19 | 504 | GR = np.dot(ARPe, IS1e) |
binietoglou@19 | 505 | HT = np.dot(ATPe, IS2e) |
binietoglou@19 | 506 | HR = np.dot(ARPe, IS2e) |
ulalume3@0 | 507 | elif (TypeC == 6): # diattenuator calibration +-22.5° rotated_diattenuator_X22x5deg.odt |
ulalume3@0 | 508 | # parameters for calibration with aCal |
binietoglou@19 | 509 | AT = ATP1 * IinP + sqr05 * DiC * (ATP1 * QinPe + ATP2e * IinP) + (1 - 0.5 * WiC) * ( |
binietoglou@19 | 510 | ATP2e * QinPe + ATP3e * UinPe) + ZiC * (sqr05 * SinC * (ATP3e * VinP - ATP4 * UinPe) + ATP4 * CosC * VinP) |
binietoglou@19 | 511 | BT = sqr05 * DiC * (ATP1 * UinPe + ATP3e * IinP) + 0.5 * WiC * ( |
binietoglou@19 | 512 | ATP2e * UinPe + ATP3e * QinPe) - sqr05 * ZiC * SinC * (ATP2e * VinP - ATP4 * QinPe) |
binietoglou@19 | 513 | AR = ARP1 * IinP + sqr05 * DiC * (ARP1 * QinPe + ARP2e * IinP) + (1 - 0.5 * WiC) * ( |
binietoglou@19 | 514 | ARP2e * QinPe + ARP3e * UinPe) + ZiC * (sqr05 * SinC * (ARP3e * VinP - ARP4 * UinPe) + ARP4 * CosC * VinP) |
binietoglou@19 | 515 | BR = sqr05 * DiC * (ARP1 * UinPe + ARP3e * IinP) + 0.5 * WiC * ( |
binietoglou@19 | 516 | ARP2e * UinPe + ARP3e * QinPe) - sqr05 * ZiC * SinC * (ARP2e * VinP - ARP4 * QinPe) |
ulalume3@0 | 517 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 518 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 519 | IS1 = np.array([IinPo, QinPo, UinPo, VinPo]) |
binietoglou@19 | 520 | IS2 = np.array([IinPa, QinPa, UinPa, VinPa]) |
binietoglou@19 | 521 | GT = np.dot(ATP, IS1) |
binietoglou@19 | 522 | GR = np.dot(ARP, IS1) |
binietoglou@19 | 523 | HT = np.dot(ATP, IS2) |
binietoglou@19 | 524 | HR = np.dot(ARP, IS2) |
ulalume3@0 | 525 | else: |
binietoglou@19 | 526 | IS1e = np.array([IinPo + DiC * QinPoe, DiC * IinPo + QinPoe, ZiC * (CosC * UinPoe + SinC * VinPo), |
binietoglou@19 | 527 | -ZiC * (SinC * UinPoe - CosC * VinPo)]) |
binietoglou@19 | 528 | IS2e = np.array([IinPa + DiC * QinPae, DiC * IinPa + QinPae, ZiC * (CosC * UinPae + SinC * VinPa), |
binietoglou@19 | 529 | -ZiC * (SinC * UinPae - CosC * VinPa)]) |
binietoglou@19 | 530 | GT = np.dot(ATPe, IS1e) |
binietoglou@19 | 531 | GR = np.dot(ARPe, IS1e) |
binietoglou@19 | 532 | HT = np.dot(ATPe, IS2e) |
binietoglou@19 | 533 | HR = np.dot(ARPe, IS2e) |
ulalume3@0 | 534 | else: |
ulalume3@0 | 535 | print("Calibrator not implemented yet") |
ulalume3@0 | 536 | sys.exit() |
ulalume3@0 | 537 | |
ulalume3@0 | 538 | elif LocC == 3: # C before receiver optics Eq.57 |
ulalume3@0 | 539 | |
binietoglou@19 | 540 | # S2ge = np.sin(np.deg2rad(2*RotO - 2*RotC)) |
binietoglou@19 | 541 | # C2ge = np.cos(np.deg2rad(2*RotO - 2*RotC)) |
binietoglou@19 | 542 | S2e = np.sin(np.deg2rad(2 * RotC)) |
binietoglou@19 | 543 | C2e = np.cos(np.deg2rad(2 * RotC)) |
ulalume3@0 | 544 | |
ulalume3@0 | 545 | # As with C before the receiver optics (rotated_diattenuator_X22x5deg.odt) |
binietoglou@19 | 546 | AF1 = np.array([1, C2g * DiO, S2g * DiO, 0]) |
binietoglou@19 | 547 | AF2 = np.array([C2g * DiO, 1 - S2g ** 2 * WiO, S2g * C2g * WiO, -S2g * ZiO * SinO]) |
binietoglou@19 | 548 | AF3 = np.array([S2g * DiO, S2g * C2g * WiO, 1 - C2g ** 2 * WiO, C2g * ZiO * SinO]) |
binietoglou@19 | 549 | AF4 = np.array([0, S2g * SinO, -C2g * SinO, CosO]) |
ulalume3@0 | 550 | |
binietoglou@19 | 551 | ATF = (ATP1 * AF1 + ATP2 * AF2 + ATP3 * AF3 + ATP4 * AF4) |
binietoglou@19 | 552 | ARF = (ARP1 * AF1 + ARP2 * AF2 + ARP3 * AF3 + ARP4 * AF4) |
ulalume3@0 | 553 | ATF2 = ATF[1] |
ulalume3@0 | 554 | ATF3 = ATF[2] |
ulalume3@0 | 555 | ARF2 = ARF[1] |
ulalume3@0 | 556 | ARF3 = ARF[2] |
ulalume3@0 | 557 | |
ulalume3@0 | 558 | # rotated AinF by epsilon |
ulalume3@0 | 559 | ATF1 = ATF[0] |
ulalume3@0 | 560 | ATF4 = ATF[3] |
binietoglou@19 | 561 | ATF2e = C2e * ATF[1] + S2e * ATF[2] |
binietoglou@19 | 562 | ATF3e = C2e * ATF[2] - S2e * ATF[1] |
ulalume3@0 | 563 | ARF1 = ARF[0] |
ulalume3@0 | 564 | ARF4 = ARF[3] |
binietoglou@19 | 565 | ARF2e = C2e * ARF[1] + S2e * ARF[2] |
binietoglou@19 | 566 | ARF3e = C2e * ARF[2] - S2e * ARF[1] |
ulalume3@0 | 567 | |
binietoglou@19 | 568 | ATFe = np.array([ATF1, ATF2e, ATF3e, ATF4]) |
binietoglou@19 | 569 | ARFe = np.array([ARF1, ARF2e, ARF3e, ARF4]) |
ulalume3@0 | 570 | |
binietoglou@19 | 571 | QinEe = C2e * QinE + S2e * UinE |
binietoglou@19 | 572 | UinEe = C2e * UinE - S2e * QinE |
ulalume3@0 | 573 | |
ulalume3@0 | 574 | # Stokes Input Vector before receiver optics Eq. E.19 (after atmosphere F) |
ulalume3@0 | 575 | IinF = IinE |
binietoglou@19 | 576 | QinF = aCal * QinE |
binietoglou@19 | 577 | UinF = -aCal * UinE |
binietoglou@19 | 578 | VinF = (1. - 2. * aCal) * VinE |
ulalume3@0 | 579 | |
ulalume3@0 | 580 | IinFo = IinE |
ulalume3@0 | 581 | QinFo = 0. |
ulalume3@0 | 582 | UinFo = 0. |
ulalume3@0 | 583 | VinFo = VinE |
ulalume3@0 | 584 | |
ulalume3@0 | 585 | IinFa = 0. |
ulalume3@0 | 586 | QinFa = QinE |
ulalume3@0 | 587 | UinFa = -UinE |
binietoglou@19 | 588 | VinFa = -2. * VinE |
ulalume3@0 | 589 | |
ulalume3@0 | 590 | # Stokes Input Vector before receiver optics rotated by epsilon Eq. C.3 |
binietoglou@19 | 591 | QinFe = C2e * QinF + S2e * UinF |
binietoglou@19 | 592 | UinFe = C2e * UinF - S2e * QinF |
binietoglou@19 | 593 | QinFoe = C2e * QinFo + S2e * UinFo |
binietoglou@19 | 594 | UinFoe = C2e * UinFo - S2e * QinFo |
binietoglou@19 | 595 | QinFae = C2e * QinFa + S2e * UinFa |
binietoglou@19 | 596 | UinFae = C2e * UinFa - S2e * QinFa |
ulalume3@0 | 597 | |
ulalume3@0 | 598 | # Calibration signals and Calibration correction K from measurements with LDRCal / aCal |
binietoglou@19 | 599 | if (TypeC == 2) or (TypeC == 1): # rotator calibration Eq. C.4 |
ulalume3@0 | 600 | # parameters for calibration with aCal |
binietoglou@19 | 601 | AT = ATF1 * IinF + ATF4 * h * VinF |
binietoglou@19 | 602 | BT = ATF3e * QinF - ATF2e * h * UinF |
binietoglou@19 | 603 | AR = ARF1 * IinF + ARF4 * h * VinF |
binietoglou@19 | 604 | BR = ARF3e * QinF - ARF2e * h * UinF |
ulalume3@0 | 605 | # Correction paremeters for normal measurements; they are independent of LDR |
ulalume3@0 | 606 | if (not RotationErrorEpsilonForNormalMeasurements): |
binietoglou@19 | 607 | GT = ATF1 * IinE + ATF4 * VinE |
binietoglou@19 | 608 | GR = ARF1 * IinE + ARF4 * VinE |
binietoglou@19 | 609 | HT = ATF2 * QinE - ATF3 * UinE - ATF4 * 2 * VinE |
binietoglou@19 | 610 | HR = ARF2 * QinE - ARF3 * UinE - ARF4 * 2 * VinE |
ulalume3@0 | 611 | else: |
binietoglou@19 | 612 | GT = ATF1 * IinE + ATF4 * h * VinE |
binietoglou@19 | 613 | GR = ARF1 * IinE + ARF4 * h * VinE |
binietoglou@19 | 614 | HT = ATF2e * QinE - ATF3e * h * UinE - ATF4 * h * 2 * VinE |
binietoglou@19 | 615 | HR = ARF2e * QinE - ARF3e * h * UinE - ARF4 * h * 2 * VinE |
ulalume3@0 | 616 | elif (TypeC == 3) or (TypeC == 4): # linear polariser calibration Eq. C.5 |
ulalume3@0 | 617 | # p = +45°, m = -45° |
binietoglou@19 | 618 | IF1e = np.array([IinF, ZiC * CosC * QinFe, UinFe, ZiC * CosC * VinF]) |
binietoglou@19 | 619 | IF2e = np.array([DiC * UinFe, -ZiC * SinC * VinF, DiC * IinF, ZiC * SinC * QinFe]) |
binietoglou@19 | 620 | AT = np.dot(ATFe, IF1e) |
binietoglou@19 | 621 | AR = np.dot(ARFe, IF1e) |
binietoglou@19 | 622 | BT = np.dot(ATFe, IF2e) |
binietoglou@19 | 623 | BR = np.dot(ARFe, IF2e) |
ulalume3@0 | 624 | |
ulalume3@0 | 625 | # Correction paremeters for normal measurements; they are independent of LDR --- the same as for TypeC = 6 |
binietoglou@19 | 626 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 627 | IS1 = np.array([IinE, 0, 0, VinE]) |
binietoglou@19 | 628 | IS2 = np.array([0, QinE, -UinE, -2 * VinE]) |
binietoglou@19 | 629 | GT = np.dot(ATF, IS1) |
binietoglou@19 | 630 | GR = np.dot(ARF, IS1) |
binietoglou@19 | 631 | HT = np.dot(ATF, IS2) |
binietoglou@19 | 632 | HR = np.dot(ARF, IS2) |
ulalume3@0 | 633 | else: |
binietoglou@19 | 634 | IS1e = np.array([IinFo + DiC * QinFoe, DiC * IinFo + QinFoe, ZiC * (CosC * UinFoe + SinC * VinFo), |
binietoglou@19 | 635 | -ZiC * (SinC * UinFoe - CosC * VinFo)]) |
binietoglou@19 | 636 | IS2e = np.array([IinFa + DiC * QinFae, DiC * IinFa + QinFae, ZiC * (CosC * UinFae + SinC * VinFa), |
binietoglou@19 | 637 | -ZiC * (SinC * UinFae - CosC * VinFa)]) |
binietoglou@19 | 638 | GT = np.dot(ATFe, IS1e) |
binietoglou@19 | 639 | GR = np.dot(ARFe, IS1e) |
binietoglou@19 | 640 | HT = np.dot(ATFe, IS2e) |
binietoglou@19 | 641 | HR = np.dot(ARFe, IS2e) |
ulalume3@0 | 642 | |
ulalume3@0 | 643 | elif (TypeC == 6): # diattenuator calibration +-22.5° rotated_diattenuator_X22x5deg.odt |
ulalume3@0 | 644 | # parameters for calibration with aCal |
binietoglou@19 | 645 | IF1e = np.array([IinF + sqr05 * DiC * QinFe, sqr05 * DiC * IinF + (1 - 0.5 * WiC) * QinFe, |
binietoglou@19 | 646 | (1 - 0.5 * WiC) * UinFe + sqr05 * ZiC * SinC * VinF, |
binietoglou@19 | 647 | -sqr05 * ZiC * SinC * UinFe + ZiC * CosC * VinF]) |
binietoglou@19 | 648 | IF2e = np.array([sqr05 * DiC * UinFe, 0.5 * WiC * UinFe - sqr05 * ZiC * SinC * VinF, |
binietoglou@19 | 649 | sqr05 * DiC * IinF + 0.5 * WiC * QinFe, sqr05 * ZiC * SinC * QinFe]) |
binietoglou@19 | 650 | AT = np.dot(ATFe, IF1e) |
binietoglou@19 | 651 | AR = np.dot(ARFe, IF1e) |
binietoglou@19 | 652 | BT = np.dot(ATFe, IF2e) |
binietoglou@19 | 653 | BR = np.dot(ARFe, IF2e) |
ulalume3@0 | 654 | |
ulalume3@0 | 655 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 656 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 657 | # IS1 = np.array([IinE,0,0,VinE]) |
binietoglou@19 | 658 | # IS2 = np.array([0,QinE,-UinE,-2*VinE]) |
binietoglou@19 | 659 | IS1 = np.array([IinFo, 0, 0, VinFo]) |
binietoglou@19 | 660 | IS2 = np.array([0, QinFa, UinFa, VinFa]) |
binietoglou@19 | 661 | GT = np.dot(ATF, IS1) |
binietoglou@19 | 662 | GR = np.dot(ARF, IS1) |
binietoglou@19 | 663 | HT = np.dot(ATF, IS2) |
binietoglou@19 | 664 | HR = np.dot(ARF, IS2) |
ulalume3@0 | 665 | else: |
binietoglou@19 | 666 | IS1e = np.array([IinFo + DiC * QinFoe, DiC * IinFo + QinFoe, ZiC * (CosC * UinFoe + SinC * VinFo), |
binietoglou@19 | 667 | -ZiC * (SinC * UinFoe - CosC * VinFo)]) |
binietoglou@19 | 668 | IS2e = np.array([IinFa + DiC * QinFae, DiC * IinFa + QinFae, ZiC * (CosC * UinFae + SinC * VinFa), |
binietoglou@19 | 669 | -ZiC * (SinC * UinFae - CosC * VinFa)]) |
binietoglou@19 | 670 | # IS1e = np.array([IinFo,0,0,VinFo]) |
binietoglou@19 | 671 | # IS2e = np.array([0,QinFae,UinFae,VinFa]) |
binietoglou@19 | 672 | GT = np.dot(ATFe, IS1e) |
binietoglou@19 | 673 | GR = np.dot(ARFe, IS1e) |
binietoglou@19 | 674 | HT = np.dot(ATFe, IS2e) |
binietoglou@19 | 675 | HR = np.dot(ARFe, IS2e) |
ulalume3@0 | 676 | |
ulalume3@0 | 677 | else: |
ulalume3@0 | 678 | print('Calibrator not implemented yet') |
ulalume3@0 | 679 | sys.exit() |
ulalume3@0 | 680 | |
ulalume3@0 | 681 | elif LocC == 2: # C behind emitter optics Eq.57 ------------------------------------------------------- |
binietoglou@19 | 682 | # print("Calibrator location not implemented yet") |
binietoglou@19 | 683 | S2e = np.sin(np.deg2rad(2 * RotC)) |
binietoglou@19 | 684 | C2e = np.cos(np.deg2rad(2 * RotC)) |
ulalume3@0 | 685 | |
ulalume3@0 | 686 | # AS with C before the receiver optics (see document rotated_diattenuator_X22x5deg.odt) |
binietoglou@19 | 687 | AF1 = np.array([1, C2g * DiO, S2g * DiO, 0]) |
binietoglou@19 | 688 | AF2 = np.array([C2g * DiO, 1 - S2g ** 2 * WiO, S2g * C2g * WiO, -S2g * ZiO * SinO]) |
binietoglou@19 | 689 | AF3 = np.array([S2g * DiO, S2g * C2g * WiO, 1 - C2g ** 2 * WiO, C2g * ZiO * SinO]) |
binietoglou@19 | 690 | AF4 = np.array([0, S2g * SinO, -C2g * SinO, CosO]) |
ulalume3@0 | 691 | |
binietoglou@19 | 692 | ATF = (ATP1 * AF1 + ATP2 * AF2 + ATP3 * AF3 + ATP4 * AF4) |
binietoglou@19 | 693 | ARF = (ARP1 * AF1 + ARP2 * AF2 + ARP3 * AF3 + ARP4 * AF4) |
ulalume3@0 | 694 | ATF1 = ATF[0] |
ulalume3@0 | 695 | ATF2 = ATF[1] |
ulalume3@0 | 696 | ATF3 = ATF[2] |
ulalume3@0 | 697 | ATF4 = ATF[3] |
ulalume3@0 | 698 | ARF1 = ARF[0] |
ulalume3@0 | 699 | ARF2 = ARF[1] |
ulalume3@0 | 700 | ARF3 = ARF[2] |
ulalume3@0 | 701 | ARF4 = ARF[3] |
ulalume3@0 | 702 | |
ulalume3@0 | 703 | # AS with C behind the emitter |
ulalume3@0 | 704 | # terms without aCal |
ulalume3@0 | 705 | ATE1o, ARE1o = ATF1, ARF1 |
ulalume3@0 | 706 | ATE2o, ARE2o = 0., 0. |
ulalume3@0 | 707 | ATE3o, ARE3o = 0., 0. |
ulalume3@0 | 708 | ATE4o, ARE4o = ATF4, ARF4 |
ulalume3@0 | 709 | # terms with aCal |
binietoglou@19 | 710 | ATE1a, ARE1a = 0., 0. |
ulalume3@0 | 711 | ATE2a, ARE2a = ATF2, ARF2 |
ulalume3@0 | 712 | ATE3a, ARE3a = -ATF3, -ARF3 |
binietoglou@19 | 713 | ATE4a, ARE4a = -2 * ATF4, -2 * ARF4 |
ulalume3@0 | 714 | # rotated AinEa by epsilon |
binietoglou@19 | 715 | ATE2ae = C2e * ATF2 + S2e * ATF3 |
binietoglou@19 | 716 | ATE3ae = -S2e * ATF2 - C2e * ATF3 |
binietoglou@19 | 717 | ARE2ae = C2e * ARF2 + S2e * ARF3 |
binietoglou@19 | 718 | ARE3ae = -S2e * ARF2 - C2e * ARF3 |
ulalume3@0 | 719 | |
ulalume3@0 | 720 | ATE1 = ATE1o |
binietoglou@19 | 721 | ATE2e = aCal * ATE2ae |
binietoglou@19 | 722 | ATE3e = aCal * ATE3ae |
binietoglou@19 | 723 | ATE4 = (1 - 2 * aCal) * ATF4 |
ulalume3@0 | 724 | ARE1 = ARE1o |
binietoglou@19 | 725 | ARE2e = aCal * ARE2ae |
binietoglou@19 | 726 | ARE3e = aCal * ARE3ae |
binietoglou@19 | 727 | ARE4 = (1 - 2 * aCal) * ARF4 |
ulalume3@0 | 728 | |
ulalume3@0 | 729 | # rotated IinE |
binietoglou@19 | 730 | QinEe = C2e * QinE + S2e * UinE |
binietoglou@19 | 731 | UinEe = C2e * UinE - S2e * QinE |
ulalume3@0 | 732 | |
ulalume3@0 | 733 | # Calibration signals and Calibration correction K from measurements with LDRCal / aCal |
binietoglou@19 | 734 | if (TypeC == 2) or (TypeC == 1): # +++++++++ rotator calibration Eq. C.4 |
binietoglou@19 | 735 | AT = ATE1o * IinE + (ATE4o + aCal * ATE4a) * h * VinE |
binietoglou@19 | 736 | BT = aCal * (ATE3ae * QinEe - ATE2ae * h * UinEe) |
binietoglou@19 | 737 | AR = ARE1o * IinE + (ARE4o + aCal * ARE4a) * h * VinE |
binietoglou@19 | 738 | BR = aCal * (ARE3ae * QinEe - ARE2ae * h * UinEe) |
ulalume3@0 | 739 | |
ulalume3@0 | 740 | # Correction paremeters for normal measurements; they are independent of LDR |
ulalume3@0 | 741 | if (not RotationErrorEpsilonForNormalMeasurements): |
ulalume3@0 | 742 | # Stokes Input Vector before receiver optics Eq. E.19 (after atmosphere F) |
binietoglou@19 | 743 | GT = ATE1o * IinE + ATE4o * h * VinE |
binietoglou@19 | 744 | GR = ARE1o * IinE + ARE4o * h * VinE |
binietoglou@19 | 745 | HT = ATE2a * QinE + ATE3a * h * UinEe + ATE4a * h * VinE |
binietoglou@19 | 746 | HR = ARE2a * QinE + ARE3a * h * UinEe + ARE4a * h * VinE |
ulalume3@0 | 747 | else: |
binietoglou@19 | 748 | GT = ATE1o * IinE + ATE4o * h * VinE |
binietoglou@19 | 749 | GR = ARE1o * IinE + ARE4o * h * VinE |
binietoglou@19 | 750 | HT = ATE2ae * QinE + ATE3ae * h * UinEe + ATE4a * h * VinE |
binietoglou@19 | 751 | HR = ARE2ae * QinE + ARE3ae * h * UinEe + ARE4a * h * VinE |
ulalume3@0 | 752 | |
ulalume3@0 | 753 | elif (TypeC == 3) or (TypeC == 4): # +++++++++ linear polariser calibration Eq. C.5 |
ulalume3@0 | 754 | # p = +45°, m = -45° |
binietoglou@19 | 755 | AT = ATE1 * IinE + ZiC * CosC * (ATE2e * QinEe + ATE4 * VinE) + ATE3e * UinEe |
binietoglou@19 | 756 | BT = DiC * (ATE1 * UinEe + ATE3e * IinE) + ZiC * SinC * (ATE4 * QinEe - ATE2e * VinE) |
binietoglou@19 | 757 | AR = ARE1 * IinE + ZiC * CosC * (ARE2e * QinEe + ARE4 * VinE) + ARE3e * UinEe |
binietoglou@19 | 758 | BR = DiC * (ARE1 * UinEe + ARE3e * IinE) + ZiC * SinC * (ARE4 * QinEe - ARE2e * VinE) |
ulalume3@0 | 759 | |
ulalume3@0 | 760 | # Correction paremeters for normal measurements; they are independent of LDR |
ulalume3@0 | 761 | if (not RotationErrorEpsilonForNormalMeasurements): |
ulalume3@0 | 762 | # Stokes Input Vector before receiver optics Eq. E.19 (after atmosphere F) |
binietoglou@19 | 763 | GT = ATE1o * IinE + ATE4o * VinE |
binietoglou@19 | 764 | GR = ARE1o * IinE + ARE4o * VinE |
binietoglou@19 | 765 | HT = ATE2a * QinE + ATE3a * UinE + ATE4a * VinE |
binietoglou@19 | 766 | HR = ARE2a * QinE + ARE3a * UinE + ARE4a * VinE |
ulalume3@0 | 767 | else: |
binietoglou@19 | 768 | D = IinE + DiC * QinEe |
binietoglou@19 | 769 | A = DiC * IinE + QinEe |
binietoglou@19 | 770 | B = ZiC * (CosC * UinEe + SinC * VinE) |
binietoglou@19 | 771 | C = -ZiC * (SinC * UinEe - CosC * VinE) |
binietoglou@19 | 772 | GT = ATE1o * D + ATE4o * C |
binietoglou@19 | 773 | GR = ARE1o * D + ARE4o * C |
binietoglou@19 | 774 | HT = ATE2a * A + ATE3a * B + ATE4a * C |
binietoglou@19 | 775 | HR = ARE2a * A + ARE3a * B + ARE4a * C |
ulalume3@0 | 776 | |
ulalume3@0 | 777 | elif (TypeC == 6): # real HWP calibration +-22.5° rotated_diattenuator_X22x5deg.odt |
ulalume3@0 | 778 | # p = +22.5°, m = -22.5° |
binietoglou@19 | 779 | IE1e = np.array([IinE + sqr05 * DiC * QinEe, sqr05 * DiC * IinE + (1 - 0.5 * WiC) * QinEe, |
binietoglou@19 | 780 | (1 - 0.5 * WiC) * UinEe + sqr05 * ZiC * SinC * VinE, |
binietoglou@19 | 781 | -sqr05 * ZiC * SinC * UinEe + ZiC * CosC * VinE]) |
binietoglou@19 | 782 | IE2e = np.array([sqr05 * DiC * UinEe, 0.5 * WiC * UinEe - sqr05 * ZiC * SinC * VinE, |
binietoglou@19 | 783 | sqr05 * DiC * IinE + 0.5 * WiC * QinEe, sqr05 * ZiC * SinC * QinEe]) |
binietoglou@19 | 784 | ATEe = np.array([ATE1, ATE2e, ATE3e, ATE4]) |
binietoglou@19 | 785 | AREe = np.array([ARE1, ARE2e, ARE3e, ARE4]) |
binietoglou@19 | 786 | AT = np.dot(ATEe, IE1e) |
binietoglou@19 | 787 | AR = np.dot(AREe, IE1e) |
binietoglou@19 | 788 | BT = np.dot(ATEe, IE2e) |
binietoglou@19 | 789 | BR = np.dot(AREe, IE2e) |
ulalume3@0 | 790 | |
ulalume3@0 | 791 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 792 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 793 | GT = ATE1o * IinE + ATE4o * VinE |
binietoglou@19 | 794 | GR = ARE1o * IinE + ARE4o * VinE |
binietoglou@19 | 795 | HT = ATE2a * QinE + ATE3a * UinE + ATE4a * VinE |
binietoglou@19 | 796 | HR = ARE2a * QinE + ARE3a * UinE + ARE4a * VinE |
ulalume3@0 | 797 | else: |
binietoglou@19 | 798 | D = IinE + DiC * QinEe |
binietoglou@19 | 799 | A = DiC * IinE + QinEe |
binietoglou@19 | 800 | B = ZiC * (CosC * UinEe + SinC * VinE) |
binietoglou@19 | 801 | C = -ZiC * (SinC * UinEe - CosC * VinE) |
binietoglou@19 | 802 | GT = ATE1o * D + ATE4o * C |
binietoglou@19 | 803 | GR = ARE1o * D + ARE4o * C |
binietoglou@19 | 804 | HT = ATE2a * A + ATE3a * B + ATE4a * C |
binietoglou@19 | 805 | HR = ARE2a * A + ARE3a * B + ARE4a * C |
ulalume3@0 | 806 | |
ulalume3@0 | 807 | else: |
ulalume3@0 | 808 | print('Calibrator not implemented yet') |
ulalume3@0 | 809 | sys.exit() |
ulalume3@0 | 810 | |
ulalume3@0 | 811 | else: |
ulalume3@0 | 812 | print("Calibrator location not implemented yet") |
ulalume3@0 | 813 | sys.exit() |
ulalume3@0 | 814 | |
ulalume3@0 | 815 | # Determination of the correction K of the calibration factor |
binietoglou@19 | 816 | IoutTp = TaT * TiT * TiO * TiE * (AT + BT) |
binietoglou@19 | 817 | IoutTm = TaT * TiT * TiO * TiE * (AT - BT) |
binietoglou@19 | 818 | IoutRp = TaR * TiR * TiO * TiE * (AR + BR) |
binietoglou@19 | 819 | IoutRm = TaR * TiR * TiO * TiE * (AR - BR) |
ulalume3@0 | 820 | |
ulalume3@0 | 821 | # --- Results and Corrections; electronic etaR and etaT are assumed to be 1 |
binietoglou@19 | 822 | Etapx = IoutRp / IoutTp |
binietoglou@19 | 823 | Etamx = IoutRm / IoutTm |
binietoglou@19 | 824 | Etax = (Etapx * Etamx) ** 0.5 |
ulalume3@0 | 825 | |
binietoglou@19 | 826 | Eta = (TaR * TiR) / (TaT * TiT) # Eta = Eta*/K Eq. 84 |
ulalume3@0 | 827 | K = Etax / Eta |
ulalume3@0 | 828 | |
ulalume3@0 | 829 | # For comparison with Volkers Libreoffice Müller Matrix spreadsheet |
binietoglou@19 | 830 | # Eta_test_p = (IoutRp/IoutTp) |
binietoglou@19 | 831 | # Eta_test_m = (IoutRm/IoutTm) |
binietoglou@19 | 832 | # Eta_test = (Eta_test_p*Eta_test_m)**0.5 |
ulalume3@0 | 833 | |
ulalume3@0 | 834 | # ----- Forward simulated signals and LDRsim with atrue; from input file |
binietoglou@19 | 835 | It = TaT * TiT * TiO * TiE * (GT + atrue * HT) |
binietoglou@19 | 836 | Ir = TaR * TiR * TiO * TiE * (GR + atrue * HR) |
ulalume3@0 | 837 | # LDRsim = 1/Eta*Ir/It # simulated LDR* with Y from input file |
binietoglou@19 | 838 | LDRsim = Ir / It # simulated uncorrected LDR with Y from input file |
ulalume3@0 | 839 | # Corrected LDRsimCorr from forward simulated LDRsim (atrue) |
ulalume3@0 | 840 | # LDRsimCorr = (1./Eta*LDRsim*(GT+HT)-(GR+HR))/((GR-HR)-1./Eta*LDRsim*(GT-HT)) |
ulalume3@0 | 841 | if Y == -1.: |
binietoglou@19 | 842 | LDRsimx = 1. / LDRsim |
ulalume3@0 | 843 | else: |
ulalume3@0 | 844 | LDRsimx = LDRsim |
ulalume3@0 | 845 | |
ulalume3@0 | 846 | # The following is correct without doubt |
binietoglou@19 | 847 | # LDRCorr = (LDRsim*K/Etax*(GT+HT)-(GR+HR))/((GR-HR)-LDRsim*K/Etax*(GT-HT)) |
ulalume3@0 | 848 | |
ulalume3@0 | 849 | # The following is a test whether the equations for calibration Etax and normal signal (GHK, LDRsim) are consistent |
binietoglou@19 | 850 | LDRCorr = (LDRsim / Eta * (GT + HT) - (GR + HR)) / ((GR - HR) - LDRsim * K / Etax * (GT - HT)) |
ulalume3@0 | 851 | |
binietoglou@19 | 852 | TTa = TiT * TaT # *ATP1 |
binietoglou@19 | 853 | TRa = TiR * TaR # *ARP1 |
ulalume3@0 | 854 | |
binietoglou@19 | 855 | F11sim = 1 / (TiO * TiE) * ( |
binietoglou@19 | 856 | (HR * Etax / K * It / TTa - HT * Ir / TRa) / (HR * GT - HT * GR)) # IL = 1, Etat = Etar = 1 |
ulalume3@0 | 857 | |
ulalume3@0 | 858 | return (GT, HT, GR, HR, K, Eta, LDRsimx, LDRCorr, DTa, DRa, TTa, TRa, F11sim) |
binietoglou@19 | 859 | |
binietoglou@19 | 860 | |
ulalume3@0 | 861 | # ******************************************************************************************************************************* |
ulalume3@0 | 862 | |
ulalume3@0 | 863 | # --- CALC truth |
binietoglou@19 | 864 | GT0, HT0, GR0, HR0, K0, Eta0, LDRsimx, LDRCorr, DTa0, DRa0, TTa0, TRa0, F11sim0 = Calc(RotL0, RotE0, RetE0, DiE0, RotO0, |
binietoglou@19 | 865 | RetO0, DiO0, RotC0, RetC0, DiC0, |
binietoglou@19 | 866 | TP0, TS0, RP0, RS0, ERaT0, |
binietoglou@19 | 867 | RotaT0, RetT0, ERaR0, RotaR0, |
binietoglou@19 | 868 | RetR0, LDRCal0) |
ulalume3@0 | 869 | |
volker@13 | 870 | # --- Print parameters to console and output file |
volker@13 | 871 | with open('output_files\output_' + LID + '.dat', 'w') as f: |
ulalume3@0 | 872 | with redirect_stdout(f): |
ulalume3@0 | 873 | print("From ", dname) |
ulalume3@0 | 874 | print("Running ", fname) |
binietoglou@19 | 875 | print("Reading input file ", InputFile) # , " for Lidar system :", EID, ", ", LID) |
ulalume3@0 | 876 | print("for Lidar system: ", EID, ", ", LID) |
ulalume3@0 | 877 | # --- Print iput information********************************* |
ulalume3@0 | 878 | print(" --- Input parameters: value ±error / ±steps ----------------------") |
binietoglou@19 | 879 | print("{0:8} {1:8} {2:8.5f}; {3:8} {4:7.4f}±{5:7.4f}/{6:2d}".format("Laser: ", "DOLP = ", bL, |
binietoglou@19 | 880 | " rotation alpha = ", RotL0, dRotL, |
binietoglou@19 | 881 | nRotL)) |
ulalume3@0 | 882 | print(" Diatt., Tunpol, Retard., Rotation (deg)") |
binietoglou@19 | 883 | print("{0:12} {1:7.4f}±{2:7.4f}/{8:2d}, {3:7.4f}, {4:3.0f}±{5:3.0f}/{9:2d}, {6:7.4f}±{7:7.4f}/{10:2d}".format( |
binietoglou@19 | 884 | "Emitter ", DiE0, dDiE, TiE, RetE0, dRetE, RotE0, dRotE, nDiE, nRetE, nRotE)) |
binietoglou@19 | 885 | print("{0:12} {1:7.4f}±{2:7.4f}/{8:2d}, {3:7.4f}, {4:3.0f}±{5:3.0f}/{9:2d}, {6:7.4f}±{7:7.4f}/{10:2d}".format( |
binietoglou@19 | 886 | "Receiver ", DiO0, dDiO, TiO, RetO0, dRetO, RotO0, dRotO, nDiO, nRetO, nRotO)) |
binietoglou@19 | 887 | print("{0:12} {1:7.4f}±{2:7.4f}/{8:2d}, {3:7.4f}, {4:3.0f}±{5:3.0f}/{9:2d}, {6:7.4f}±{7:7.4f}/{10:2d}".format( |
binietoglou@19 | 888 | "Calibrator ", DiC0, dDiC, TiC, RetC0, dRetC, RotC0, dRotC, nDiC, nRetC, nRotC)) |
ulalume3@0 | 889 | print("{0:12}".format(" --- Pol.-filter ---")) |
binietoglou@19 | 890 | print( |
binietoglou@19 | 891 | "{0:12}{1:7.4f}±{2:7.4f}/{3:2d}, {4:7.4f}±{5:7.4f}/{6:2d}".format("ERT, RotT :", ERaT0, dERaT, nERaT, |
binietoglou@19 | 892 | RotaT0, dRotaT, nRotaT)) |
binietoglou@19 | 893 | print( |
binietoglou@19 | 894 | "{0:12}{1:7.4f}±{2:7.4f}/{3:2d}, {4:7.4f}±{5:7.4f}/{6:2d}".format("ERR, RotR :", ERaR0, dERaR, nERaR, |
binietoglou@19 | 895 | RotaR0, dRotaR, nRotaR)) |
ulalume3@0 | 896 | print("{0:12}".format(" --- PBS ---")) |
binietoglou@19 | 897 | print("{0:12}{1:7.4f}±{2:7.4f}/{3:2d}, {4:7.4f}±{5:7.4f}/{6:2d}".format("TP,TS :", TP0, dTP, nTP, TS0, |
binietoglou@19 | 898 | dTS, nTS)) |
binietoglou@19 | 899 | print("{0:12}{1:7.4f}±{2:7.4f}/{3:2d}, {4:7.4f}±{5:7.4f}/{6:2d}".format("RP,RS :", RP0, dRP, nRP, RS0, |
binietoglou@19 | 900 | dRS, nRS)) |
ulalume3@0 | 901 | print("{0:12}{1:7.4f},{2:7.4f}, {3:7.4f},{4:7.4f}, {5:1.0f}".format("DT,TT,DR,TR,Y :", DiT, TiT, DiR, TiR, Y)) |
ulalume3@0 | 902 | print("{0:12}".format(" --- Combined PBS + Pol.-filter ---")) |
volker@13 | 903 | print("{0:12}{1:7.4f},{2:7.4f}, {3:7.4f},{4:7.4f}".format("DT,TT,DR,TR :", DTa0, TTa0, DRa0, TRa0)) |
ulalume3@0 | 904 | print() |
ulalume3@0 | 905 | print("Rotation Error Epsilon For Normal Measurements = ", RotationErrorEpsilonForNormalMeasurements) |
volker@13 | 906 | print(Type[TypeC], Loc[LocC]) |
binietoglou@19 | 907 | print("Parallel signal detected in", dY[int(Y + 1)]) |
volker@13 | 908 | print("RS_RP_depend_on_TS_TP = ", RS_RP_depend_on_TS_TP) |
ulalume3@0 | 909 | # end of print actual system parameters |
ulalume3@0 | 910 | # ****************************************************************************** |
ulalume3@0 | 911 | |
binietoglou@19 | 912 | # print() |
binietoglou@19 | 913 | # print(" --- LDRCal during calibration | simulated and corrected LDRs -------------") |
binietoglou@19 | 914 | # print("{0:8} |{1:8}->{2:8},{3:9}->{4:9} |{5:8}->{6:8}".format(" LDRCal"," LDRtrue", " LDRsim"," LDRtrue2", " LDRsim2", " LDRmeas", " LDRcorr")) |
binietoglou@19 | 915 | # print("{0:8.5f} |{1:8.5f}->{2:8.5f},{3:9.5f}->{4:9.5f} |{5:8.5f}->{6:8.5f}".format(LDRCal, LDRtrue, LDRsim, LDRtrue2, LDRsim2, LDRmeas, LDRCorr)) |
binietoglou@19 | 916 | # print("{0:8} |{1:8}->{2:8}->{3:8}".format(" LDRCal"," LDRtrue", " LDRsimx", " LDRcorr")) |
binietoglou@19 | 917 | # print("{0:6.3f}±{1:5.3f}/{2:2d}|{3:8.5f}->{4:8.5f}->{5:8.5f}".format(LDRCal0, dLDRCal, nLDRCal, LDRtrue, LDRsimx, LDRCorr)) |
binietoglou@19 | 918 | # print("{0:8} |{1:8}->{2:8}->{3:8}".format(" LDRCal"," LDRtrue", " LDRsimx", " LDRcorr")) |
binietoglou@19 | 919 | # print(" --- LDRCal during calibration") |
binietoglou@19 | 920 | print("{0:26}: {1:6.3f}±{2:5.3f}/{3:2d}".format("LDRCal during calibration in calibration range", LDRCal0, |
binietoglou@19 | 921 | dLDRCal, nLDRCal)) |
ulalume3@0 | 922 | |
binietoglou@19 | 923 | # print("{0:8}={1:8.5f};{2:8}={3:8.5f}".format(" IinP",IinP," F11sim",F11sim)) |
ulalume3@0 | 924 | print() |
ulalume3@0 | 925 | |
ulalume3@0 | 926 | K0List = np.zeros(3) |
ulalume3@0 | 927 | LDRsimxList = np.zeros(3) |
ulalume3@0 | 928 | LDRCalList = 0.004, 0.2, 0.45 |
binietoglou@19 | 929 | for i, LDRCal in enumerate(LDRCalList): |
binietoglou@19 | 930 | GT0, HT0, GR0, HR0, K0, Eta0, LDRsimx, LDRCorr, DTa0, DRa0, TTa0, TRa0, F11sim0 = Calc(RotL0, RotE0, RetE0, |
binietoglou@19 | 931 | DiE0, RotO0, RetO0, |
binietoglou@19 | 932 | DiO0, RotC0, RetC0, |
binietoglou@19 | 933 | DiC0, TP0, TS0, RP0, |
binietoglou@19 | 934 | RS0, ERaT0, RotaT0, |
binietoglou@19 | 935 | RetT0, ERaR0, RotaR0, |
binietoglou@19 | 936 | RetR0, LDRCal) |
ulalume3@0 | 937 | K0List[i] = K0 |
ulalume3@0 | 938 | LDRsimxList[i] = LDRsimx |
ulalume3@0 | 939 | |
volker@13 | 940 | print('========================================================================') |
binietoglou@19 | 941 | print("{0:8},{1:8},{2:8},{3:8},{4:9},{5:8},{6:9}".format(" GR", " GT", " HR", " HT", " K(0.004)", " K(0.2)", |
binietoglou@19 | 942 | " K(0.45)")) |
binietoglou@19 | 943 | print("{0:8.5f},{1:8.5f},{2:8.5f},{3:8.5f},{4:9.5f},{5:9.5f},{6:9.5f}".format(GR0, GT0, HR0, HT0, K0List[0], |
binietoglou@19 | 944 | K0List[1], K0List[2])) |
ulalume3@0 | 945 | print('========================================================================') |
ulalume3@0 | 946 | |
ulalume3@0 | 947 | print("{0:9},{1:9},{2:9}".format(" LDRtrue", " LDRsimx", " LDRCorr")) |
ulalume3@0 | 948 | LDRtrueList = 0.004, 0.02, 0.2, 0.45 |
binietoglou@19 | 949 | for i, LDRtrue in enumerate(LDRtrueList): |
binietoglou@19 | 950 | GT0, HT0, GR0, HR0, K0, Eta0, LDRsimx, LDRCorr, DTa0, DRa0, TTa0, TRa0, F11sim0 = Calc(RotL0, RotE0, RetE0, |
binietoglou@19 | 951 | DiE0, RotO0, RetO0, |
binietoglou@19 | 952 | DiO0, RotC0, RetC0, |
binietoglou@19 | 953 | DiC0, TP0, TS0, RP0, |
binietoglou@19 | 954 | RS0, ERaT0, RotaT0, |
binietoglou@19 | 955 | RetT0, ERaR0, RotaR0, |
binietoglou@19 | 956 | RetR0, LDRCal0) |
ulalume3@0 | 957 | print("{0:9.5f},{1:9.5f},{2:9.5f}".format(LDRtrue, LDRsimx, LDRCorr)) |
ulalume3@0 | 958 | |
volker@13 | 959 | file = open('output_files\output_' + LID + '.dat', 'r') |
binietoglou@19 | 960 | print(file.read()) |
ulalume3@0 | 961 | file.close() |
ulalume3@0 | 962 | |
ulalume3@0 | 963 | ''' |
ulalume3@0 | 964 | if(PrintToOutputFile): |
ulalume3@0 | 965 | f = open('output_ver7.dat', 'w') |
ulalume3@0 | 966 | old_target = sys.stdout |
ulalume3@0 | 967 | sys.stdout = f |
ulalume3@0 | 968 | |
ulalume3@0 | 969 | print("something") |
ulalume3@0 | 970 | |
ulalume3@0 | 971 | if(PrintToOutputFile): |
ulalume3@0 | 972 | sys.stdout.flush() |
ulalume3@0 | 973 | f.close |
ulalume3@0 | 974 | sys.stdout = old_target |
ulalume3@0 | 975 | ''' |
binietoglou@19 | 976 | if (Error_Calc): |
volker@16 | 977 | # --- CALC again truth with LDRCal0 to reset all 0-values |
binietoglou@19 | 978 | GT0, HT0, GR0, HR0, K0, Eta0, LDRsimx, LDRCorr, DTa0, DRa0, TTa0, TRa0, F11sim0 = Calc(RotL0, RotE0, RetE0, DiE0, |
binietoglou@19 | 979 | RotO0, RetO0, DiO0, RotC0, |
binietoglou@19 | 980 | RetC0, DiC0, TP0, TS0, RP0, |
binietoglou@19 | 981 | RS0, ERaT0, RotaT0, RetT0, |
binietoglou@19 | 982 | ERaR0, RotaR0, RetR0, |
binietoglou@19 | 983 | LDRCal0) |
ulalume3@0 | 984 | |
volker@16 | 985 | # --- Start Errors calculation with variable parameters ------------------------------------------------------------------ |
ulalume3@0 | 986 | |
volker@16 | 987 | iN = -1 |
binietoglou@19 | 988 | N = ((nRotL * 2 + 1) * |
binietoglou@19 | 989 | (nRotE * 2 + 1) * (nRetE * 2 + 1) * (nDiE * 2 + 1) * |
binietoglou@19 | 990 | (nRotO * 2 + 1) * (nRetO * 2 + 1) * (nDiO * 2 + 1) * |
binietoglou@19 | 991 | (nRotC * 2 + 1) * (nRetC * 2 + 1) * (nDiC * 2 + 1) * |
binietoglou@19 | 992 | (nTP * 2 + 1) * (nTS * 2 + 1) * (nRP * 2 + 1) * (nRS * 2 + 1) * (nERaT * 2 + 1) * (nERaR * 2 + 1) * |
binietoglou@19 | 993 | (nRotaT * 2 + 1) * (nRotaR * 2 + 1) * (nRetT * 2 + 1) * (nRetR * 2 + 1) * (nLDRCal * 2 + 1)) |
binietoglou@19 | 994 | print("N = ", N, " ", end="") |
ulalume3@0 | 995 | |
volker@16 | 996 | if N > 1e6: |
binietoglou@19 | 997 | if user_yes_no_query('Warning: processing ' + str( |
binietoglou@19 | 998 | N) + ' samples will take very long. Do you want to proceed?') == 0: sys.exit() |
volker@16 | 999 | if N > 5e6: |
binietoglou@19 | 1000 | if user_yes_no_query('Warning: the memory required for ' + str(N) + ' samples might be ' + '{0:5.1f}'.format( |
binietoglou@19 | 1001 | N / 4e6) + ' GB. Do you anyway want to proceed?') == 0: sys.exit() |
ulalume3@0 | 1002 | |
binietoglou@19 | 1003 | # if user_yes_no_query('Warning: processing' + str(N) + ' samples will take very long. Do you want to proceed?') == 0: sys.exit() |
ulalume3@0 | 1004 | |
volker@16 | 1005 | # --- Arrays for plotting ------ |
volker@16 | 1006 | LDRmin = np.zeros(5) |
volker@16 | 1007 | LDRmax = np.zeros(5) |
volker@16 | 1008 | F11min = np.zeros(5) |
volker@16 | 1009 | F11max = np.zeros(5) |
ulalume3@0 | 1010 | |
volker@16 | 1011 | LDRrange = np.zeros(5) |
volker@16 | 1012 | LDRrange = 0.004, 0.02, 0.1, 0.3, 0.45 |
binietoglou@19 | 1013 | # aLDRsimx = np.zeros(N) |
binietoglou@19 | 1014 | # aLDRsimx2 = np.zeros(N) |
binietoglou@19 | 1015 | # aLDRcorr = np.zeros(N) |
binietoglou@19 | 1016 | # aLDRcorr2 = np.zeros(N) |
volker@16 | 1017 | aERaT = np.zeros(N) |
volker@16 | 1018 | aERaR = np.zeros(N) |
volker@16 | 1019 | aRotaT = np.zeros(N) |
volker@16 | 1020 | aRotaR = np.zeros(N) |
volker@16 | 1021 | aRetT = np.zeros(N) |
volker@16 | 1022 | aRetR = np.zeros(N) |
volker@16 | 1023 | aTP = np.zeros(N) |
volker@16 | 1024 | aTS = np.zeros(N) |
volker@16 | 1025 | aRP = np.zeros(N) |
volker@16 | 1026 | aRS = np.zeros(N) |
volker@16 | 1027 | aDiE = np.zeros(N) |
volker@16 | 1028 | aDiO = np.zeros(N) |
volker@16 | 1029 | aDiC = np.zeros(N) |
volker@16 | 1030 | aRotC = np.zeros(N) |
volker@16 | 1031 | aRetC = np.zeros(N) |
volker@16 | 1032 | aRotL = np.zeros(N) |
volker@16 | 1033 | aRetE = np.zeros(N) |
volker@16 | 1034 | aRotE = np.zeros(N) |
volker@16 | 1035 | aRetO = np.zeros(N) |
volker@16 | 1036 | aRotO = np.zeros(N) |
volker@16 | 1037 | aLDRCal = np.zeros(N) |
binietoglou@19 | 1038 | aA = np.zeros((5, N)) |
binietoglou@19 | 1039 | aX = np.zeros((5, N)) |
binietoglou@19 | 1040 | aF11corr = np.zeros((5, N)) |
ulalume3@0 | 1041 | |
volker@16 | 1042 | atime = clock() |
volker@16 | 1043 | dtime = clock() |
ulalume3@0 | 1044 | |
volker@16 | 1045 | # --- Calc Error signals |
binietoglou@19 | 1046 | # GT, HT, GR, HR, K, Eta, LDRsim = Calc(RotL, RotE, RetE, DiE, RotO, RetO, DiO, RotC, RetC, DiC, TP, TS) |
volker@16 | 1047 | # ---- Do the calculations of bra-ket vectors |
volker@16 | 1048 | h = -1. if TypeC == 2 else 1 |
ulalume3@0 | 1049 | |
volker@16 | 1050 | # from input file: measured LDRm and true LDRtrue, LDRtrue2 => |
binietoglou@19 | 1051 | ameas = (1. - LDRmeas) / (1 + LDRmeas) |
binietoglou@19 | 1052 | atrue = (1. - LDRtrue) / (1 + LDRtrue) |
binietoglou@19 | 1053 | atrue2 = (1. - LDRtrue2) / (1 + LDRtrue2) |
ulalume3@0 | 1054 | |
binietoglou@19 | 1055 | for iLDRCal in range(-nLDRCal, nLDRCal + 1): |
volker@16 | 1056 | # from input file: assumed LDRCal for calibration measurements |
volker@16 | 1057 | LDRCal = LDRCal0 |
binietoglou@19 | 1058 | if nLDRCal > 0: LDRCal = LDRCal0 + iLDRCal * dLDRCal / nLDRCal |
ulalume3@0 | 1059 | |
binietoglou@19 | 1060 | GT0, HT0, GR0, HR0, K0, Eta0, LDRsimx, LDRCorr, DTa0, DRa0, TTa0, TRa0, F11sim0 = Calc(RotL0, RotE0, RetE0, |
binietoglou@19 | 1061 | DiE0, RotO0, RetO0, DiO0, |
binietoglou@19 | 1062 | RotC0, RetC0, DiC0, TP0, |
binietoglou@19 | 1063 | TS0, RP0, RS0, ERaT0, |
binietoglou@19 | 1064 | RotaT0, RetT0, ERaR0, |
binietoglou@19 | 1065 | RotaR0, RetR0, LDRCal) |
binietoglou@19 | 1066 | aCal = (1. - LDRCal) / (1 + LDRCal) |
volker@16 | 1067 | for iRotL, iRotE, iRetE, iDiE \ |
binietoglou@19 | 1068 | in [(iRotL, iRotE, iRetE, iDiE) |
binietoglou@19 | 1069 | for iRotL in range(-nRotL, nRotL + 1) |
binietoglou@19 | 1070 | for iRotE in range(-nRotE, nRotE + 1) |
binietoglou@19 | 1071 | for iRetE in range(-nRetE, nRetE + 1) |
binietoglou@19 | 1072 | for iDiE in range(-nDiE, nDiE + 1)]: |
ulalume3@0 | 1073 | |
binietoglou@19 | 1074 | if nRotL > 0: RotL = RotL0 + iRotL * dRotL / nRotL |
binietoglou@19 | 1075 | if nRotE > 0: RotE = RotE0 + iRotE * dRotE / nRotE |
binietoglou@19 | 1076 | if nRetE > 0: RetE = RetE0 + iRetE * dRetE / nRetE |
binietoglou@19 | 1077 | if nDiE > 0: DiE = DiE0 + iDiE * dDiE / nDiE |
ulalume3@0 | 1078 | |
volker@16 | 1079 | # angles of emitter and laser and calibrator and receiver optics |
volker@16 | 1080 | # RotL = alpha, RotE = beta, RotO = gamma, RotC = epsilon |
binietoglou@19 | 1081 | S2a = np.sin(2 * np.deg2rad(RotL)) |
binietoglou@19 | 1082 | C2a = np.cos(2 * np.deg2rad(RotL)) |
binietoglou@19 | 1083 | S2b = np.sin(2 * np.deg2rad(RotE)) |
binietoglou@19 | 1084 | C2b = np.cos(2 * np.deg2rad(RotE)) |
binietoglou@19 | 1085 | S2ab = np.sin(np.deg2rad(2 * RotL - 2 * RotE)) |
binietoglou@19 | 1086 | C2ab = np.cos(np.deg2rad(2 * RotL - 2 * RotE)) |
ulalume3@0 | 1087 | |
volker@16 | 1088 | # Laser with Degree of linear polarization DOLP = bL |
volker@16 | 1089 | IinL = 1. |
volker@16 | 1090 | QinL = bL |
volker@16 | 1091 | UinL = 0. |
binietoglou@19 | 1092 | VinL = (1. - bL ** 2) ** 0.5 |
ulalume3@0 | 1093 | |
volker@16 | 1094 | # Stokes Input Vector rotation Eq. E.4 |
binietoglou@19 | 1095 | A = C2a * QinL - S2a * UinL |
binietoglou@19 | 1096 | B = S2a * QinL + C2a * UinL |
volker@16 | 1097 | # Stokes Input Vector rotation Eq. E.9 |
binietoglou@19 | 1098 | C = C2ab * QinL - S2ab * UinL |
binietoglou@19 | 1099 | D = S2ab * QinL + C2ab * UinL |
ulalume3@0 | 1100 | |
volker@16 | 1101 | # emitter optics |
volker@16 | 1102 | CosE = np.cos(np.deg2rad(RetE)) |
volker@16 | 1103 | SinE = np.sin(np.deg2rad(RetE)) |
binietoglou@19 | 1104 | ZiE = (1. - DiE ** 2) ** 0.5 |
binietoglou@19 | 1105 | WiE = (1. - ZiE * CosE) |
ulalume3@0 | 1106 | |
volker@16 | 1107 | # Stokes Input Vector after emitter optics equivalent to Eq. E.9 with already rotated input vector from Eq. E.4 |
volker@16 | 1108 | # b = beta |
binietoglou@19 | 1109 | IinE = (IinL + DiE * C) |
binietoglou@19 | 1110 | QinE = (C2b * DiE * IinL + A + S2b * (WiE * D - ZiE * SinE * VinL)) |
binietoglou@19 | 1111 | UinE = (S2b * DiE * IinL + B - C2b * (WiE * D - ZiE * SinE * VinL)) |
binietoglou@19 | 1112 | VinE = (-ZiE * SinE * D + ZiE * CosE * VinL) |
ulalume3@0 | 1113 | |
binietoglou@19 | 1114 | # ------------------------- |
volker@16 | 1115 | # F11 assuemd to be = 1 => measured: F11m = IinP / IinE with atrue |
binietoglou@19 | 1116 | # F11sim = (IinE + DiO*atrue*(C2g*QinE - S2g*UinE))/IinE |
binietoglou@19 | 1117 | # ------------------------- |
ulalume3@0 | 1118 | |
volker@16 | 1119 | for iRotO, iRetO, iDiO, iRotC, iRetC, iDiC, iTP, iTS, iRP, iRS, iERaT, iRotaT, iRetT, iERaR, iRotaR, iRetR \ |
binietoglou@19 | 1120 | in [ |
binietoglou@19 | 1121 | (iRotO, iRetO, iDiO, iRotC, iRetC, iDiC, iTP, iTS, iRP, iRS, iERaT, iRotaT, iRetT, iERaR, iRotaR, iRetR) |
binietoglou@19 | 1122 | for iRotO in range(-nRotO, nRotO + 1) |
binietoglou@19 | 1123 | for iRetO in range(-nRetO, nRetO + 1) |
binietoglou@19 | 1124 | for iDiO in range(-nDiO, nDiO + 1) |
binietoglou@19 | 1125 | for iRotC in range(-nRotC, nRotC + 1) |
binietoglou@19 | 1126 | for iRetC in range(-nRetC, nRetC + 1) |
binietoglou@19 | 1127 | for iDiC in range(-nDiC, nDiC + 1) |
binietoglou@19 | 1128 | for iTP in range(-nTP, nTP + 1) |
binietoglou@19 | 1129 | for iTS in range(-nTS, nTS + 1) |
binietoglou@19 | 1130 | for iRP in range(-nRP, nRP + 1) |
binietoglou@19 | 1131 | for iRS in range(-nRS, nRS + 1) |
binietoglou@19 | 1132 | for iERaT in range(-nERaT, nERaT + 1) |
binietoglou@19 | 1133 | for iRotaT in range(-nRotaT, nRotaT + 1) |
binietoglou@19 | 1134 | for iRetT in range(-nRetT, nRetT + 1) |
binietoglou@19 | 1135 | for iERaR in range(-nERaR, nERaR + 1) |
binietoglou@19 | 1136 | for iRotaR in range(-nRotaR, nRotaR + 1) |
binietoglou@19 | 1137 | for iRetR in range(-nRetR, nRetR + 1)]: |
ulalume3@0 | 1138 | |
volker@16 | 1139 | iN = iN + 1 |
volker@16 | 1140 | if (iN == 10001): |
volker@16 | 1141 | ctime = clock() |
binietoglou@19 | 1142 | print(" estimated time ", "{0:4.2f}".format(N / 10000 * (ctime - atime)), "sec ") # , end="") |
binietoglou@19 | 1143 | print("\r elapsed time ", "{0:5.0f}".format((ctime - atime)), "sec ", end="\r") |
ulalume3@0 | 1144 | ctime = clock() |
volker@16 | 1145 | if ((ctime - dtime) > 10): |
binietoglou@19 | 1146 | print("\r elapsed time ", "{0:5.0f}".format((ctime - atime)), "sec ", end="\r") |
volker@16 | 1147 | dtime = ctime |
ulalume3@0 | 1148 | |
binietoglou@19 | 1149 | if nRotO > 0: RotO = RotO0 + iRotO * dRotO / nRotO |
binietoglou@19 | 1150 | if nRetO > 0: RetO = RetO0 + iRetO * dRetO / nRetO |
binietoglou@19 | 1151 | if nDiO > 0: DiO = DiO0 + iDiO * dDiO / nDiO |
binietoglou@19 | 1152 | if nRotC > 0: RotC = RotC0 + iRotC * dRotC / nRotC |
binietoglou@19 | 1153 | if nRetC > 0: RetC = RetC0 + iRetC * dRetC / nRetC |
binietoglou@19 | 1154 | if nDiC > 0: DiC = DiC0 + iDiC * dDiC / nDiC |
binietoglou@19 | 1155 | if nTP > 0: TP = TP0 + iTP * dTP / nTP |
binietoglou@19 | 1156 | if nTS > 0: TS = TS0 + iTS * dTS / nTS |
binietoglou@19 | 1157 | if nRP > 0: RP = RP0 + iRP * dRP / nRP |
binietoglou@19 | 1158 | if nRS > 0: RS = RS0 + iRS * dRS / nRS |
binietoglou@19 | 1159 | if nERaT > 0: ERaT = ERaT0 + iERaT * dERaT / nERaT |
binietoglou@19 | 1160 | if nRotaT > 0: RotaT = RotaT0 + iRotaT * dRotaT / nRotaT |
binietoglou@19 | 1161 | if nRetT > 0: RetT = RetT0 + iRetT * dRetT / nRetT |
binietoglou@19 | 1162 | if nERaR > 0: ERaR = ERaR0 + iERaR * dERaR / nERaR |
binietoglou@19 | 1163 | if nRotaR > 0: RotaR = RotaR0 + iRotaR * dRotaR / nRotaR |
binietoglou@19 | 1164 | if nRetR > 0: RetR = RetR0 + iRetR * dRetR / nRetR |
ulalume3@0 | 1165 | |
binietoglou@19 | 1166 | # print("{0:5.2f}, {1:5.2f}, {2:5.2f}, {3:10d}".format(RotL, RotE, RotO, iN)) |
ulalume3@0 | 1167 | |
volker@16 | 1168 | # receiver optics |
volker@16 | 1169 | CosO = np.cos(np.deg2rad(RetO)) |
volker@16 | 1170 | SinO = np.sin(np.deg2rad(RetO)) |
binietoglou@19 | 1171 | ZiO = (1. - DiO ** 2) ** 0.5 |
binietoglou@19 | 1172 | WiO = (1. - ZiO * CosO) |
binietoglou@19 | 1173 | S2g = np.sin(np.deg2rad(2 * RotO)) |
binietoglou@19 | 1174 | C2g = np.cos(np.deg2rad(2 * RotO)) |
volker@16 | 1175 | # calibrator |
volker@16 | 1176 | CosC = np.cos(np.deg2rad(RetC)) |
volker@16 | 1177 | SinC = np.sin(np.deg2rad(RetC)) |
binietoglou@19 | 1178 | ZiC = (1. - DiC ** 2) ** 0.5 |
binietoglou@19 | 1179 | WiC = (1. - ZiC * CosC) |
ulalume3@0 | 1180 | |
volker@16 | 1181 | # analyser |
binietoglou@19 | 1182 | # For POLLY_XTs |
binietoglou@19 | 1183 | if (RS_RP_depend_on_TS_TP): |
volker@16 | 1184 | RS = 1 - TS |
volker@16 | 1185 | RP = 1 - TP |
volker@16 | 1186 | TiT = 0.5 * (TP + TS) |
binietoglou@19 | 1187 | DiT = (TP - TS) / (TP + TS) |
binietoglou@19 | 1188 | ZiT = (1. - DiT ** 2) ** 0.5 |
volker@16 | 1189 | TiR = 0.5 * (RP + RS) |
binietoglou@19 | 1190 | DiR = (RP - RS) / (RP + RS) |
binietoglou@19 | 1191 | ZiR = (1. - DiR ** 2) ** 0.5 |
volker@16 | 1192 | CosT = np.cos(np.deg2rad(RetT)) |
volker@16 | 1193 | SinT = np.sin(np.deg2rad(RetT)) |
volker@16 | 1194 | CosR = np.cos(np.deg2rad(RetR)) |
volker@16 | 1195 | SinR = np.sin(np.deg2rad(RetR)) |
ulalume3@0 | 1196 | |
binietoglou@19 | 1197 | DaT = (1 - ERaT) / (1 + ERaT) |
binietoglou@19 | 1198 | DaR = (1 - ERaR) / (1 + ERaR) |
binietoglou@19 | 1199 | TaT = 0.5 * (1 + ERaT) |
binietoglou@19 | 1200 | TaR = 0.5 * (1 + ERaR) |
ulalume3@0 | 1201 | |
binietoglou@19 | 1202 | S2aT = np.sin(np.deg2rad(h * 2 * RotaT)) |
binietoglou@19 | 1203 | C2aT = np.cos(np.deg2rad(2 * RotaT)) |
binietoglou@19 | 1204 | S2aR = np.sin(np.deg2rad(h * 2 * RotaR)) |
binietoglou@19 | 1205 | C2aR = np.cos(np.deg2rad(2 * RotaR)) |
ulalume3@0 | 1206 | |
volker@16 | 1207 | # Aanalyzer As before the PBS Eq. D.5 |
binietoglou@19 | 1208 | ATP1 = (1 + C2aT * DaT * DiT) |
binietoglou@19 | 1209 | ATP2 = Y * (DiT + C2aT * DaT) |
binietoglou@19 | 1210 | ATP3 = Y * S2aT * DaT * ZiT * CosT |
binietoglou@19 | 1211 | ATP4 = S2aT * DaT * ZiT * SinT |
binietoglou@19 | 1212 | ATP = np.array([ATP1, ATP2, ATP3, ATP4]) |
ulalume3@0 | 1213 | |
binietoglou@19 | 1214 | ARP1 = (1 + C2aR * DaR * DiR) |
binietoglou@19 | 1215 | ARP2 = Y * (DiR + C2aR * DaR) |
binietoglou@19 | 1216 | ARP3 = Y * S2aR * DaR * ZiR * CosR |
binietoglou@19 | 1217 | ARP4 = S2aR * DaR * ZiR * SinR |
binietoglou@19 | 1218 | ARP = np.array([ARP1, ARP2, ARP3, ARP4]) |
ulalume3@0 | 1219 | |
binietoglou@19 | 1220 | TTa = TiT * TaT # *ATP1 |
binietoglou@19 | 1221 | TRa = TiR * TaR # *ARP1 |
ulalume3@0 | 1222 | |
volker@16 | 1223 | # ---- Calculate signals and correction parameters for diffeent locations and calibrators |
volker@16 | 1224 | if LocC == 4: # Calibrator before the PBS |
binietoglou@19 | 1225 | # print("Calibrator location not implemented yet") |
ulalume3@0 | 1226 | |
binietoglou@19 | 1227 | # S2ge = np.sin(np.deg2rad(2*RotO + h*2*RotC)) |
binietoglou@19 | 1228 | # C2ge = np.cos(np.deg2rad(2*RotO + h*2*RotC)) |
binietoglou@19 | 1229 | S2e = np.sin(np.deg2rad(h * 2 * RotC)) |
binietoglou@19 | 1230 | C2e = np.cos(np.deg2rad(2 * RotC)) |
volker@16 | 1231 | # rotated AinP by epsilon Eq. C.3 |
binietoglou@19 | 1232 | ATP2e = C2e * ATP2 + S2e * ATP3 |
binietoglou@19 | 1233 | ATP3e = C2e * ATP3 - S2e * ATP2 |
binietoglou@19 | 1234 | ARP2e = C2e * ARP2 + S2e * ARP3 |
binietoglou@19 | 1235 | ARP3e = C2e * ARP3 - S2e * ARP2 |
binietoglou@19 | 1236 | ATPe = np.array([ATP1, ATP2e, ATP3e, ATP4]) |
binietoglou@19 | 1237 | ARPe = np.array([ARP1, ARP2e, ARP3e, ARP4]) |
volker@16 | 1238 | # Stokes Input Vector before the polarising beam splitter Eq. E.31 |
binietoglou@19 | 1239 | A = C2g * QinE - S2g * UinE |
binietoglou@19 | 1240 | B = S2g * QinE + C2g * UinE |
binietoglou@19 | 1241 | # C = (WiO*aCal*B + ZiO*SinO*(1-2*aCal)*VinE) |
binietoglou@19 | 1242 | Co = ZiO * SinO * VinE |
binietoglou@19 | 1243 | Ca = (WiO * B - 2 * ZiO * SinO * VinE) |
binietoglou@19 | 1244 | # C = Co + aCal*Ca |
binietoglou@19 | 1245 | # IinP = (IinE + DiO*aCal*A) |
binietoglou@19 | 1246 | # QinP = (C2g*DiO*IinE + aCal*QinE - S2g*C) |
binietoglou@19 | 1247 | # UinP = (S2g*DiO*IinE - aCal*UinE + C2g*C) |
binietoglou@19 | 1248 | # VinP = (ZiO*SinO*aCal*B + ZiO*CosO*(1-2*aCal)*VinE) |
volker@16 | 1249 | IinPo = IinE |
binietoglou@19 | 1250 | QinPo = (C2g * DiO * IinE - S2g * Co) |
binietoglou@19 | 1251 | UinPo = (S2g * DiO * IinE + C2g * Co) |
binietoglou@19 | 1252 | VinPo = ZiO * CosO * VinE |
ulalume3@0 | 1253 | |
binietoglou@19 | 1254 | IinPa = DiO * A |
binietoglou@19 | 1255 | QinPa = QinE - S2g * Ca |
binietoglou@19 | 1256 | UinPa = -UinE + C2g * Ca |
binietoglou@19 | 1257 | VinPa = ZiO * (SinO * B - 2 * CosO * VinE) |
ulalume3@0 | 1258 | |
binietoglou@19 | 1259 | IinP = IinPo + aCal * IinPa |
binietoglou@19 | 1260 | QinP = QinPo + aCal * QinPa |
binietoglou@19 | 1261 | UinP = UinPo + aCal * UinPa |
binietoglou@19 | 1262 | VinP = VinPo + aCal * VinPa |
volker@16 | 1263 | # Stokes Input Vector before the polarising beam splitter rotated by epsilon Eq. C.3 |
binietoglou@19 | 1264 | # QinPe = C2e*QinP + S2e*UinP |
binietoglou@19 | 1265 | # UinPe = C2e*UinP - S2e*QinP |
binietoglou@19 | 1266 | QinPoe = C2e * QinPo + S2e * UinPo |
binietoglou@19 | 1267 | UinPoe = C2e * UinPo - S2e * QinPo |
binietoglou@19 | 1268 | QinPae = C2e * QinPa + S2e * UinPa |
binietoglou@19 | 1269 | UinPae = C2e * UinPa - S2e * QinPa |
binietoglou@19 | 1270 | QinPe = C2e * QinP + S2e * UinP |
binietoglou@19 | 1271 | UinPe = C2e * UinP - S2e * QinP |
ulalume3@0 | 1272 | |
volker@16 | 1273 | # Calibration signals and Calibration correction K from measurements with LDRCal / aCal |
volker@16 | 1274 | if (TypeC == 2) or (TypeC == 1): # rotator calibration Eq. C.4 |
volker@16 | 1275 | # parameters for calibration with aCal |
binietoglou@19 | 1276 | AT = ATP1 * IinP + h * ATP4 * VinP |
binietoglou@19 | 1277 | BT = ATP3e * QinP - h * ATP2e * UinP |
binietoglou@19 | 1278 | AR = ARP1 * IinP + h * ARP4 * VinP |
binietoglou@19 | 1279 | BR = ARP3e * QinP - h * ARP2e * UinP |
volker@16 | 1280 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 1281 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 1282 | IS1 = np.array([IinPo, QinPo, UinPo, VinPo]) |
binietoglou@19 | 1283 | IS2 = np.array([IinPa, QinPa, UinPa, VinPa]) |
binietoglou@19 | 1284 | GT = np.dot(ATP, IS1) |
binietoglou@19 | 1285 | GR = np.dot(ARP, IS1) |
binietoglou@19 | 1286 | HT = np.dot(ATP, IS2) |
binietoglou@19 | 1287 | HR = np.dot(ARP, IS2) |
volker@16 | 1288 | else: |
binietoglou@19 | 1289 | IS1 = np.array([IinPo, QinPo, UinPo, VinPo]) |
binietoglou@19 | 1290 | IS2 = np.array([IinPa, QinPa, UinPa, VinPa]) |
binietoglou@19 | 1291 | GT = np.dot(ATPe, IS1) |
binietoglou@19 | 1292 | GR = np.dot(ARPe, IS1) |
binietoglou@19 | 1293 | HT = np.dot(ATPe, IS2) |
binietoglou@19 | 1294 | HR = np.dot(ARPe, IS2) |
volker@16 | 1295 | elif (TypeC == 3) or (TypeC == 4): # linear polariser calibration Eq. C.5 |
volker@16 | 1296 | # parameters for calibration with aCal |
binietoglou@19 | 1297 | AT = ATP1 * IinP + ATP3e * UinPe + ZiC * CosC * (ATP2e * QinPe + ATP4 * VinP) |
binietoglou@19 | 1298 | BT = DiC * (ATP1 * UinPe + ATP3e * IinP) - ZiC * SinC * (ATP2e * VinP - ATP4 * QinPe) |
binietoglou@19 | 1299 | AR = ARP1 * IinP + ARP3e * UinPe + ZiC * CosC * (ARP2e * QinPe + ARP4 * VinP) |
binietoglou@19 | 1300 | BR = DiC * (ARP1 * UinPe + ARP3e * IinP) - ZiC * SinC * (ARP2e * VinP - ARP4 * QinPe) |
volker@16 | 1301 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 1302 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 1303 | IS1 = np.array([IinPo, QinPo, UinPo, VinPo]) |
binietoglou@19 | 1304 | IS2 = np.array([IinPa, QinPa, UinPa, VinPa]) |
binietoglou@19 | 1305 | GT = np.dot(ATP, IS1) |
binietoglou@19 | 1306 | GR = np.dot(ARP, IS1) |
binietoglou@19 | 1307 | HT = np.dot(ATP, IS2) |
binietoglou@19 | 1308 | HR = np.dot(ARP, IS2) |
volker@16 | 1309 | else: |
binietoglou@19 | 1310 | IS1e = np.array( |
binietoglou@19 | 1311 | [IinPo + DiC * QinPoe, DiC * IinPo + QinPoe, ZiC * (CosC * UinPoe + SinC * VinPo), |
binietoglou@19 | 1312 | -ZiC * (SinC * UinPoe - CosC * VinPo)]) |
binietoglou@19 | 1313 | IS2e = np.array( |
binietoglou@19 | 1314 | [IinPa + DiC * QinPae, DiC * IinPa + QinPae, ZiC * (CosC * UinPae + SinC * VinPa), |
binietoglou@19 | 1315 | -ZiC * (SinC * UinPae - CosC * VinPa)]) |
binietoglou@19 | 1316 | GT = np.dot(ATPe, IS1e) |
binietoglou@19 | 1317 | GR = np.dot(ARPe, IS1e) |
binietoglou@19 | 1318 | HT = np.dot(ATPe, IS2e) |
binietoglou@19 | 1319 | HR = np.dot(ARPe, IS2e) |
volker@16 | 1320 | elif (TypeC == 6): # diattenuator calibration +-22.5° rotated_diattenuator_X22x5deg.odt |
volker@16 | 1321 | # parameters for calibration with aCal |
binietoglou@19 | 1322 | AT = ATP1 * IinP + sqr05 * DiC * (ATP1 * QinPe + ATP2e * IinP) + (1 - 0.5 * WiC) * ( |
binietoglou@19 | 1323 | ATP2e * QinPe + ATP3e * UinPe) + ZiC * ( |
binietoglou@19 | 1324 | sqr05 * SinC * (ATP3e * VinP - ATP4 * UinPe) + ATP4 * CosC * VinP) |
binietoglou@19 | 1325 | BT = sqr05 * DiC * (ATP1 * UinPe + ATP3e * IinP) + 0.5 * WiC * ( |
binietoglou@19 | 1326 | ATP2e * UinPe + ATP3e * QinPe) - sqr05 * ZiC * SinC * (ATP2e * VinP - ATP4 * QinPe) |
binietoglou@19 | 1327 | AR = ARP1 * IinP + sqr05 * DiC * (ARP1 * QinPe + ARP2e * IinP) + (1 - 0.5 * WiC) * ( |
binietoglou@19 | 1328 | ARP2e * QinPe + ARP3e * UinPe) + ZiC * ( |
binietoglou@19 | 1329 | sqr05 * SinC * (ARP3e * VinP - ARP4 * UinPe) + ARP4 * CosC * VinP) |
binietoglou@19 | 1330 | BR = sqr05 * DiC * (ARP1 * UinPe + ARP3e * IinP) + 0.5 * WiC * ( |
binietoglou@19 | 1331 | ARP2e * UinPe + ARP3e * QinPe) - sqr05 * ZiC * SinC * (ARP2e * VinP - ARP4 * QinPe) |
volker@16 | 1332 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 1333 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 1334 | IS1 = np.array([IinPo, QinPo, UinPo, VinPo]) |
binietoglou@19 | 1335 | IS2 = np.array([IinPa, QinPa, UinPa, VinPa]) |
binietoglou@19 | 1336 | GT = np.dot(ATP, IS1) |
binietoglou@19 | 1337 | GR = np.dot(ARP, IS1) |
binietoglou@19 | 1338 | HT = np.dot(ATP, IS2) |
binietoglou@19 | 1339 | HR = np.dot(ARP, IS2) |
volker@16 | 1340 | else: |
binietoglou@19 | 1341 | IS1e = np.array( |
binietoglou@19 | 1342 | [IinPo + DiC * QinPoe, DiC * IinPo + QinPoe, ZiC * (CosC * UinPoe + SinC * VinPo), |
binietoglou@19 | 1343 | -ZiC * (SinC * UinPoe - CosC * VinPo)]) |
binietoglou@19 | 1344 | IS2e = np.array( |
binietoglou@19 | 1345 | [IinPa + DiC * QinPae, DiC * IinPa + QinPae, ZiC * (CosC * UinPae + SinC * VinPa), |
binietoglou@19 | 1346 | -ZiC * (SinC * UinPae - CosC * VinPa)]) |
binietoglou@19 | 1347 | GT = np.dot(ATPe, IS1e) |
binietoglou@19 | 1348 | GR = np.dot(ARPe, IS1e) |
binietoglou@19 | 1349 | HT = np.dot(ATPe, IS2e) |
binietoglou@19 | 1350 | HR = np.dot(ARPe, IS2e) |
ulalume3@0 | 1351 | else: |
volker@16 | 1352 | print("Calibrator not implemented yet") |
volker@16 | 1353 | sys.exit() |
volker@16 | 1354 | |
volker@16 | 1355 | elif LocC == 3: # C before receiver optics Eq.57 |
ulalume3@0 | 1356 | |
binietoglou@19 | 1357 | # S2ge = np.sin(np.deg2rad(2*RotO - 2*RotC)) |
binietoglou@19 | 1358 | # C2ge = np.cos(np.deg2rad(2*RotO - 2*RotC)) |
binietoglou@19 | 1359 | S2e = np.sin(np.deg2rad(2 * RotC)) |
binietoglou@19 | 1360 | C2e = np.cos(np.deg2rad(2 * RotC)) |
ulalume3@0 | 1361 | |
volker@16 | 1362 | # AS with C before the receiver optics (see document rotated_diattenuator_X22x5deg.odt) |
binietoglou@19 | 1363 | AF1 = np.array([1, C2g * DiO, S2g * DiO, 0]) |
binietoglou@19 | 1364 | AF2 = np.array([C2g * DiO, 1 - S2g ** 2 * WiO, S2g * C2g * WiO, -S2g * ZiO * SinO]) |
binietoglou@19 | 1365 | AF3 = np.array([S2g * DiO, S2g * C2g * WiO, 1 - C2g ** 2 * WiO, C2g * ZiO * SinO]) |
binietoglou@19 | 1366 | AF4 = np.array([0, S2g * SinO, -C2g * SinO, CosO]) |
ulalume3@0 | 1367 | |
binietoglou@19 | 1368 | ATF = (ATP1 * AF1 + ATP2 * AF2 + ATP3 * AF3 + ATP4 * AF4) |
binietoglou@19 | 1369 | ARF = (ARP1 * AF1 + ARP2 * AF2 + ARP3 * AF3 + ARP4 * AF4) |
volker@16 | 1370 | ATF1 = ATF[0] |
volker@16 | 1371 | ATF2 = ATF[1] |
volker@16 | 1372 | ATF3 = ATF[2] |
volker@16 | 1373 | ATF4 = ATF[3] |
volker@16 | 1374 | ARF1 = ARF[0] |
volker@16 | 1375 | ARF2 = ARF[1] |
volker@16 | 1376 | ARF3 = ARF[2] |
volker@16 | 1377 | ARF4 = ARF[3] |
ulalume3@0 | 1378 | |
volker@16 | 1379 | # rotated AinF by epsilon |
binietoglou@19 | 1380 | ATF2e = C2e * ATF[1] + S2e * ATF[2] |
binietoglou@19 | 1381 | ATF3e = C2e * ATF[2] - S2e * ATF[1] |
binietoglou@19 | 1382 | ARF2e = C2e * ARF[1] + S2e * ARF[2] |
binietoglou@19 | 1383 | ARF3e = C2e * ARF[2] - S2e * ARF[1] |
ulalume3@0 | 1384 | |
binietoglou@19 | 1385 | ATFe = np.array([ATF1, ATF2e, ATF3e, ATF4]) |
binietoglou@19 | 1386 | ARFe = np.array([ARF1, ARF2e, ARF3e, ARF4]) |
ulalume3@0 | 1387 | |
binietoglou@19 | 1388 | QinEe = C2e * QinE + S2e * UinE |
binietoglou@19 | 1389 | UinEe = C2e * UinE - S2e * QinE |
ulalume3@0 | 1390 | |
volker@16 | 1391 | # Stokes Input Vector before receiver optics Eq. E.19 (after atmosphere F) |
volker@16 | 1392 | IinF = IinE |
binietoglou@19 | 1393 | QinF = aCal * QinE |
binietoglou@19 | 1394 | UinF = -aCal * UinE |
binietoglou@19 | 1395 | VinF = (1. - 2. * aCal) * VinE |
ulalume3@0 | 1396 | |
volker@16 | 1397 | IinFo = IinE |
volker@16 | 1398 | QinFo = 0. |
volker@16 | 1399 | UinFo = 0. |
volker@16 | 1400 | VinFo = VinE |
ulalume3@0 | 1401 | |
volker@16 | 1402 | IinFa = 0. |
volker@16 | 1403 | QinFa = QinE |
volker@16 | 1404 | UinFa = -UinE |
binietoglou@19 | 1405 | VinFa = -2. * VinE |
ulalume3@0 | 1406 | |
volker@16 | 1407 | # Stokes Input Vector before receiver optics rotated by epsilon Eq. C.3 |
binietoglou@19 | 1408 | QinFe = C2e * QinF + S2e * UinF |
binietoglou@19 | 1409 | UinFe = C2e * UinF - S2e * QinF |
binietoglou@19 | 1410 | QinFoe = C2e * QinFo + S2e * UinFo |
binietoglou@19 | 1411 | UinFoe = C2e * UinFo - S2e * QinFo |
binietoglou@19 | 1412 | QinFae = C2e * QinFa + S2e * UinFa |
binietoglou@19 | 1413 | UinFae = C2e * UinFa - S2e * QinFa |
ulalume3@0 | 1414 | |
volker@16 | 1415 | # Calibration signals and Calibration correction K from measurements with LDRCal / aCal |
binietoglou@19 | 1416 | if (TypeC == 2) or (TypeC == 1): # rotator calibration Eq. C.4 |
binietoglou@19 | 1417 | AT = ATF1 * IinF + ATF4 * h * VinF |
binietoglou@19 | 1418 | BT = ATF3e * QinF - ATF2e * h * UinF |
binietoglou@19 | 1419 | AR = ARF1 * IinF + ARF4 * h * VinF |
binietoglou@19 | 1420 | BR = ARF3e * QinF - ARF2e * h * UinF |
ulalume3@0 | 1421 | |
volker@16 | 1422 | # Correction paremeters for normal measurements; they are independent of LDR |
volker@16 | 1423 | if (not RotationErrorEpsilonForNormalMeasurements): |
binietoglou@19 | 1424 | GT = ATF1 * IinE + ATF4 * VinE |
binietoglou@19 | 1425 | GR = ARF1 * IinE + ARF4 * VinE |
binietoglou@19 | 1426 | HT = ATF2 * QinE - ATF3 * UinE - ATF4 * 2 * VinE |
binietoglou@19 | 1427 | HR = ARF2 * QinE - ARF3 * UinE - ARF4 * 2 * VinE |
volker@16 | 1428 | else: |
binietoglou@19 | 1429 | GT = ATF1 * IinE + ATF4 * h * VinE |
binietoglou@19 | 1430 | GR = ARF1 * IinE + ARF4 * h * VinE |
binietoglou@19 | 1431 | HT = ATF2e * QinE - ATF3e * h * UinE - ATF4 * h * 2 * VinE |
binietoglou@19 | 1432 | HR = ARF2e * QinE - ARF3e * h * UinE - ARF4 * h * 2 * VinE |
ulalume3@0 | 1433 | |
volker@16 | 1434 | elif (TypeC == 3) or (TypeC == 4): # linear polariser calibration Eq. C.5 |
volker@16 | 1435 | # p = +45°, m = -45° |
binietoglou@19 | 1436 | IF1e = np.array([IinF, ZiC * CosC * QinFe, UinFe, ZiC * CosC * VinF]) |
binietoglou@19 | 1437 | IF2e = np.array([DiC * UinFe, -ZiC * SinC * VinF, DiC * IinF, ZiC * SinC * QinFe]) |
ulalume3@0 | 1438 | |
binietoglou@19 | 1439 | AT = np.dot(ATFe, IF1e) |
binietoglou@19 | 1440 | AR = np.dot(ARFe, IF1e) |
binietoglou@19 | 1441 | BT = np.dot(ATFe, IF2e) |
binietoglou@19 | 1442 | BR = np.dot(ARFe, IF2e) |
ulalume3@0 | 1443 | |
volker@16 | 1444 | # Correction paremeters for normal measurements; they are independent of LDR --- the same as for TypeC = 6 |
binietoglou@19 | 1445 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 1446 | IS1 = np.array([IinE, 0, 0, VinE]) |
binietoglou@19 | 1447 | IS2 = np.array([0, QinE, -UinE, -2 * VinE]) |
ulalume3@0 | 1448 | |
binietoglou@19 | 1449 | GT = np.dot(ATF, IS1) |
binietoglou@19 | 1450 | GR = np.dot(ARF, IS1) |
binietoglou@19 | 1451 | HT = np.dot(ATF, IS2) |
binietoglou@19 | 1452 | HR = np.dot(ARF, IS2) |
volker@16 | 1453 | else: |
binietoglou@19 | 1454 | IS1e = np.array( |
binietoglou@19 | 1455 | [IinFo + DiC * QinFoe, DiC * IinFo + QinFoe, ZiC * (CosC * UinFoe + SinC * VinFo), |
binietoglou@19 | 1456 | -ZiC * (SinC * UinFoe - CosC * VinFo)]) |
binietoglou@19 | 1457 | IS2e = np.array( |
binietoglou@19 | 1458 | [IinFa + DiC * QinFae, DiC * IinFa + QinFae, ZiC * (CosC * UinFae + SinC * VinFa), |
binietoglou@19 | 1459 | -ZiC * (SinC * UinFae - CosC * VinFa)]) |
binietoglou@19 | 1460 | GT = np.dot(ATFe, IS1e) |
binietoglou@19 | 1461 | GR = np.dot(ARFe, IS1e) |
binietoglou@19 | 1462 | HT = np.dot(ATFe, IS2e) |
binietoglou@19 | 1463 | HR = np.dot(ARFe, IS2e) |
ulalume3@0 | 1464 | |
volker@16 | 1465 | elif (TypeC == 6): # diattenuator calibration +-22.5° rotated_diattenuator_X22x5deg.odt |
volker@16 | 1466 | # p = +22.5°, m = -22.5° |
binietoglou@19 | 1467 | IF1e = np.array([IinF + sqr05 * DiC * QinFe, sqr05 * DiC * IinF + (1 - 0.5 * WiC) * QinFe, |
binietoglou@19 | 1468 | (1 - 0.5 * WiC) * UinFe + sqr05 * ZiC * SinC * VinF, |
binietoglou@19 | 1469 | -sqr05 * ZiC * SinC * UinFe + ZiC * CosC * VinF]) |
binietoglou@19 | 1470 | IF2e = np.array([sqr05 * DiC * UinFe, 0.5 * WiC * UinFe - sqr05 * ZiC * SinC * VinF, |
binietoglou@19 | 1471 | sqr05 * DiC * IinF + 0.5 * WiC * QinFe, sqr05 * ZiC * SinC * QinFe]) |
ulalume3@0 | 1472 | |
binietoglou@19 | 1473 | AT = np.dot(ATFe, IF1e) |
binietoglou@19 | 1474 | AR = np.dot(ARFe, IF1e) |
binietoglou@19 | 1475 | BT = np.dot(ATFe, IF2e) |
binietoglou@19 | 1476 | BR = np.dot(ARFe, IF2e) |
ulalume3@0 | 1477 | |
volker@16 | 1478 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 1479 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 1480 | # IS1 = np.array([IinE,0,0,VinE]) |
binietoglou@19 | 1481 | # IS2 = np.array([0,QinE,-UinE,-2*VinE]) |
binietoglou@19 | 1482 | IS1 = np.array([IinFo, 0, 0, VinFo]) |
binietoglou@19 | 1483 | IS2 = np.array([0, QinFa, UinFa, VinFa]) |
binietoglou@19 | 1484 | GT = np.dot(ATF, IS1) |
binietoglou@19 | 1485 | GR = np.dot(ARF, IS1) |
binietoglou@19 | 1486 | HT = np.dot(ATF, IS2) |
binietoglou@19 | 1487 | HR = np.dot(ARF, IS2) |
volker@16 | 1488 | else: |
binietoglou@19 | 1489 | # IS1e = np.array([IinE,DiC*IinE,ZiC*SinC*VinE,ZiC*CosC*VinE]) |
binietoglou@19 | 1490 | # IS2e = np.array([DiC*QinEe,QinEe,-ZiC*(CosC*UinEe+2*SinC*VinE),ZiC*(SinC*UinEe-2*CosC*VinE)]) |
binietoglou@19 | 1491 | IS1e = np.array( |
binietoglou@19 | 1492 | [IinFo + DiC * QinFoe, DiC * IinFo + QinFoe, ZiC * (CosC * UinFoe + SinC * VinFo), |
binietoglou@19 | 1493 | -ZiC * (SinC * UinFoe - CosC * VinFo)]) |
binietoglou@19 | 1494 | IS2e = np.array( |
binietoglou@19 | 1495 | [IinFa + DiC * QinFae, DiC * IinFa + QinFae, ZiC * (CosC * UinFae + SinC * VinFa), |
binietoglou@19 | 1496 | -ZiC * (SinC * UinFae - CosC * VinFa)]) |
binietoglou@19 | 1497 | GT = np.dot(ATFe, IS1e) |
binietoglou@19 | 1498 | GR = np.dot(ARFe, IS1e) |
binietoglou@19 | 1499 | HT = np.dot(ATFe, IS2e) |
binietoglou@19 | 1500 | HR = np.dot(ARFe, IS2e) |
ulalume3@0 | 1501 | |
ulalume3@0 | 1502 | |
volker@16 | 1503 | else: |
volker@16 | 1504 | print('Calibrator not implemented yet') |
volker@16 | 1505 | sys.exit() |
ulalume3@0 | 1506 | |
volker@16 | 1507 | elif LocC == 2: # C behind emitter optics Eq.57 |
binietoglou@19 | 1508 | # print("Calibrator location not implemented yet") |
binietoglou@19 | 1509 | S2e = np.sin(np.deg2rad(2 * RotC)) |
binietoglou@19 | 1510 | C2e = np.cos(np.deg2rad(2 * RotC)) |
ulalume3@0 | 1511 | |
volker@16 | 1512 | # AS with C before the receiver optics (see document rotated_diattenuator_X22x5deg.odt) |
binietoglou@19 | 1513 | AF1 = np.array([1, C2g * DiO, S2g * DiO, 0]) |
binietoglou@19 | 1514 | AF2 = np.array([C2g * DiO, 1 - S2g ** 2 * WiO, S2g * C2g * WiO, -S2g * ZiO * SinO]) |
binietoglou@19 | 1515 | AF3 = np.array([S2g * DiO, S2g * C2g * WiO, 1 - C2g ** 2 * WiO, C2g * ZiO * SinO]) |
binietoglou@19 | 1516 | AF4 = np.array([0, S2g * SinO, -C2g * SinO, CosO]) |
ulalume3@0 | 1517 | |
binietoglou@19 | 1518 | ATF = (ATP1 * AF1 + ATP2 * AF2 + ATP3 * AF3 + ATP4 * AF4) |
binietoglou@19 | 1519 | ARF = (ARP1 * AF1 + ARP2 * AF2 + ARP3 * AF3 + ARP4 * AF4) |
volker@16 | 1520 | ATF1 = ATF[0] |
volker@16 | 1521 | ATF2 = ATF[1] |
volker@16 | 1522 | ATF3 = ATF[2] |
volker@16 | 1523 | ATF4 = ATF[3] |
volker@16 | 1524 | ARF1 = ARF[0] |
volker@16 | 1525 | ARF2 = ARF[1] |
volker@16 | 1526 | ARF3 = ARF[2] |
volker@16 | 1527 | ARF4 = ARF[3] |
ulalume3@0 | 1528 | |
volker@16 | 1529 | # AS with C behind the emitter -------------------------------------------- |
volker@16 | 1530 | # terms without aCal |
volker@16 | 1531 | ATE1o, ARE1o = ATF1, ARF1 |
volker@16 | 1532 | ATE2o, ARE2o = 0., 0. |
volker@16 | 1533 | ATE3o, ARE3o = 0., 0. |
volker@16 | 1534 | ATE4o, ARE4o = ATF4, ARF4 |
volker@16 | 1535 | # terms with aCal |
binietoglou@19 | 1536 | ATE1a, ARE1a = 0., 0. |
volker@16 | 1537 | ATE2a, ARE2a = ATF2, ARF2 |
volker@16 | 1538 | ATE3a, ARE3a = -ATF3, -ARF3 |
binietoglou@19 | 1539 | ATE4a, ARE4a = -2 * ATF4, -2 * ARF4 |
volker@16 | 1540 | # rotated AinEa by epsilon |
binietoglou@19 | 1541 | ATE2ae = C2e * ATF2 + S2e * ATF3 |
binietoglou@19 | 1542 | ATE3ae = -S2e * ATF2 - C2e * ATF3 |
binietoglou@19 | 1543 | ARE2ae = C2e * ARF2 + S2e * ARF3 |
binietoglou@19 | 1544 | ARE3ae = -S2e * ARF2 - C2e * ARF3 |
volker@16 | 1545 | |
volker@16 | 1546 | ATE1 = ATE1o |
binietoglou@19 | 1547 | ATE2e = aCal * ATE2ae |
binietoglou@19 | 1548 | ATE3e = aCal * ATE3ae |
binietoglou@19 | 1549 | ATE4 = (1 - 2 * aCal) * ATF4 |
volker@16 | 1550 | ARE1 = ARE1o |
binietoglou@19 | 1551 | ARE2e = aCal * ARE2ae |
binietoglou@19 | 1552 | ARE3e = aCal * ARE3ae |
binietoglou@19 | 1553 | ARE4 = (1 - 2 * aCal) * ARF4 |
ulalume3@0 | 1554 | |
volker@16 | 1555 | # rotated IinE |
binietoglou@19 | 1556 | QinEe = C2e * QinE + S2e * UinE |
binietoglou@19 | 1557 | UinEe = C2e * UinE - S2e * QinE |
volker@16 | 1558 | |
volker@16 | 1559 | # --- Calibration signals and Calibration correction K from measurements with LDRCal / aCal |
binietoglou@19 | 1560 | if (TypeC == 2) or (TypeC == 1): # +++++++++ rotator calibration Eq. C.4 |
binietoglou@19 | 1561 | AT = ATE1o * IinE + (ATE4o + aCal * ATE4a) * h * VinE |
binietoglou@19 | 1562 | BT = aCal * (ATE3ae * QinEe - ATE2ae * h * UinEe) |
binietoglou@19 | 1563 | AR = ARE1o * IinE + (ARE4o + aCal * ARE4a) * h * VinE |
binietoglou@19 | 1564 | BR = aCal * (ARE3ae * QinEe - ARE2ae * h * UinEe) |
ulalume3@0 | 1565 | |
volker@16 | 1566 | # Correction paremeters for normal measurements; they are independent of LDR |
volker@16 | 1567 | if (not RotationErrorEpsilonForNormalMeasurements): |
volker@16 | 1568 | # Stokes Input Vector before receiver optics Eq. E.19 (after atmosphere F) |
binietoglou@19 | 1569 | GT = ATE1o * IinE + ATE4o * h * VinE |
binietoglou@19 | 1570 | GR = ARE1o * IinE + ARE4o * h * VinE |
binietoglou@19 | 1571 | HT = ATE2a * QinE + ATE3a * h * UinEe + ATE4a * h * VinE |
binietoglou@19 | 1572 | HR = ARE2a * QinE + ARE3a * h * UinEe + ARE4a * h * VinE |
volker@16 | 1573 | else: |
binietoglou@19 | 1574 | GT = ATE1o * IinE + ATE4o * h * VinE |
binietoglou@19 | 1575 | GR = ARE1o * IinE + ARE4o * h * VinE |
binietoglou@19 | 1576 | HT = ATE2ae * QinE + ATE3ae * h * UinEe + ATE4a * h * VinE |
binietoglou@19 | 1577 | HR = ARE2ae * QinE + ARE3ae * h * UinEe + ARE4a * h * VinE |
volker@16 | 1578 | |
volker@16 | 1579 | elif (TypeC == 3) or (TypeC == 4): # +++++++++ linear polariser calibration Eq. C.5 |
volker@16 | 1580 | # p = +45°, m = -45° |
binietoglou@19 | 1581 | AT = ATE1 * IinE + ZiC * CosC * (ATE2e * QinEe + ATE4 * VinE) + ATE3e * UinEe |
binietoglou@19 | 1582 | BT = DiC * (ATE1 * UinEe + ATE3e * IinE) + ZiC * SinC * (ATE4 * QinEe - ATE2e * VinE) |
binietoglou@19 | 1583 | AR = ARE1 * IinE + ZiC * CosC * (ARE2e * QinEe + ARE4 * VinE) + ARE3e * UinEe |
binietoglou@19 | 1584 | BR = DiC * (ARE1 * UinEe + ARE3e * IinE) + ZiC * SinC * (ARE4 * QinEe - ARE2e * VinE) |
ulalume3@0 | 1585 | |
volker@16 | 1586 | # Correction paremeters for normal measurements; they are independent of LDR |
volker@16 | 1587 | if (not RotationErrorEpsilonForNormalMeasurements): |
volker@16 | 1588 | # Stokes Input Vector before receiver optics Eq. E.19 (after atmosphere F) |
binietoglou@19 | 1589 | GT = ATE1o * IinE + ATE4o * VinE |
binietoglou@19 | 1590 | GR = ARE1o * IinE + ARE4o * VinE |
binietoglou@19 | 1591 | HT = ATE2a * QinE + ATE3a * UinE + ATE4a * VinE |
binietoglou@19 | 1592 | HR = ARE2a * QinE + ARE3a * UinE + ARE4a * VinE |
volker@16 | 1593 | else: |
binietoglou@19 | 1594 | D = IinE + DiC * QinEe |
binietoglou@19 | 1595 | A = DiC * IinE + QinEe |
binietoglou@19 | 1596 | B = ZiC * (CosC * UinEe + SinC * VinE) |
binietoglou@19 | 1597 | C = -ZiC * (SinC * UinEe - CosC * VinE) |
binietoglou@19 | 1598 | GT = ATE1o * D + ATE4o * C |
binietoglou@19 | 1599 | GR = ARE1o * D + ARE4o * C |
binietoglou@19 | 1600 | HT = ATE2a * A + ATE3a * B + ATE4a * C |
binietoglou@19 | 1601 | HR = ARE2a * A + ARE3a * B + ARE4a * C |
ulalume3@0 | 1602 | |
volker@16 | 1603 | elif (TypeC == 6): # real HWP calibration +-22.5° rotated_diattenuator_X22x5deg.odt |
volker@16 | 1604 | # p = +22.5°, m = -22.5° |
binietoglou@19 | 1605 | IE1e = np.array([IinE + sqr05 * DiC * QinEe, sqr05 * DiC * IinE + (1 - 0.5 * WiC) * QinEe, |
binietoglou@19 | 1606 | (1 - 0.5 * WiC) * UinEe + sqr05 * ZiC * SinC * VinE, |
binietoglou@19 | 1607 | -sqr05 * ZiC * SinC * UinEe + ZiC * CosC * VinE]) |
binietoglou@19 | 1608 | IE2e = np.array([sqr05 * DiC * UinEe, 0.5 * WiC * UinEe - sqr05 * ZiC * SinC * VinE, |
binietoglou@19 | 1609 | sqr05 * DiC * IinE + 0.5 * WiC * QinEe, sqr05 * ZiC * SinC * QinEe]) |
binietoglou@19 | 1610 | ATEe = np.array([ATE1, ATE2e, ATE3e, ATE4]) |
binietoglou@19 | 1611 | AREe = np.array([ARE1, ARE2e, ARE3e, ARE4]) |
binietoglou@19 | 1612 | AT = np.dot(ATEe, IE1e) |
binietoglou@19 | 1613 | AR = np.dot(AREe, IE1e) |
binietoglou@19 | 1614 | BT = np.dot(ATEe, IE2e) |
binietoglou@19 | 1615 | BR = np.dot(AREe, IE2e) |
ulalume3@0 | 1616 | |
volker@16 | 1617 | # Correction paremeters for normal measurements; they are independent of LDR |
binietoglou@19 | 1618 | if (not RotationErrorEpsilonForNormalMeasurements): # calibrator taken out |
binietoglou@19 | 1619 | GT = ATE1o * IinE + ATE4o * VinE |
binietoglou@19 | 1620 | GR = ARE1o * IinE + ARE4o * VinE |
binietoglou@19 | 1621 | HT = ATE2a * QinE + ATE3a * UinE + ATE4a * VinE |
binietoglou@19 | 1622 | HR = ARE2a * QinE + ARE3a * UinE + ARE4a * VinE |
volker@16 | 1623 | else: |
binietoglou@19 | 1624 | D = IinE + DiC * QinEe |
binietoglou@19 | 1625 | A = DiC * IinE + QinEe |
binietoglou@19 | 1626 | B = ZiC * (CosC * UinEe + SinC * VinE) |
binietoglou@19 | 1627 | C = -ZiC * (SinC * UinEe - CosC * VinE) |
binietoglou@19 | 1628 | GT = ATE1o * D + ATE4o * C |
binietoglou@19 | 1629 | GR = ARE1o * D + ARE4o * C |
binietoglou@19 | 1630 | HT = ATE2a * A + ATE3a * B + ATE4a * C |
binietoglou@19 | 1631 | HR = ARE2a * A + ARE3a * B + ARE4a * C |
volker@16 | 1632 | |
ulalume3@0 | 1633 | else: |
volker@16 | 1634 | print('Calibrator not implemented yet') |
volker@16 | 1635 | sys.exit() |
ulalume3@0 | 1636 | |
volker@16 | 1637 | # Calibration signals with aCal => Determination of the correction K of the real calibration factor |
binietoglou@19 | 1638 | IoutTp = TaT * TiT * TiO * TiE * (AT + BT) |
binietoglou@19 | 1639 | IoutTm = TaT * TiT * TiO * TiE * (AT - BT) |
binietoglou@19 | 1640 | IoutRp = TaR * TiR * TiO * TiE * (AR + BR) |
binietoglou@19 | 1641 | IoutRm = TaR * TiR * TiO * TiE * (AR - BR) |
volker@16 | 1642 | # --- Results and Corrections; electronic etaR and etaT are assumed to be 1 |
binietoglou@19 | 1643 | # Eta = TiR/TiT # Eta = Eta*/K Eq. 84 |
binietoglou@19 | 1644 | Etapx = IoutRp / IoutTp |
binietoglou@19 | 1645 | Etamx = IoutRm / IoutTm |
binietoglou@19 | 1646 | Etax = (Etapx * Etamx) ** 0.5 |
volker@16 | 1647 | K = Etax / Eta0 |
binietoglou@19 | 1648 | # print("{0:6.3f},{1:6.3f},{2:6.3f},{3:6.3f},{4:6.3f},{5:6.3f},{6:6.3f},{7:6.3f},{8:6.3f},{9:6.3f},{10:6.3f}".format(AT, BT, AR, BR, DiC, ZiC, RetO, TP, TS, Kp, Km)) |
binietoglou@19 | 1649 | # print("{0:6.3f},{1:6.3f},{2:6.3f},{3:6.3f}".format(DiC, ZiC, Kp, Km)) |
ulalume3@0 | 1650 | |
volker@16 | 1651 | # For comparison with Volkers Libreoffice Müller Matrix spreadsheet |
binietoglou@19 | 1652 | # Eta_test_p = (IoutRp/IoutTp) |
binietoglou@19 | 1653 | # Eta_test_m = (IoutRm/IoutTm) |
binietoglou@19 | 1654 | # Eta_test = (Eta_test_p*Eta_test_m)**0.5 |
volker@16 | 1655 | |
volker@16 | 1656 | # ************************************************************************* |
volker@16 | 1657 | iLDR = -1 |
volker@16 | 1658 | for LDRTrue in LDRrange: |
volker@16 | 1659 | iLDR = iLDR + 1 |
binietoglou@19 | 1660 | atrue = (1 - LDRTrue) / (1 + LDRTrue) |
volker@16 | 1661 | # ----- Forward simulated signals and LDRsim with atrue; from input file |
binietoglou@19 | 1662 | It = TaT * TiT * TiO * TiE * (GT + atrue * HT) # TaT*TiT*TiC*TiO*IinL*(GT+atrue*HT) |
binietoglou@19 | 1663 | Ir = TaR * TiR * TiO * TiE * (GR + atrue * HR) # TaR*TiR*TiC*TiO*IinL*(GR+atrue*HR) |
volker@16 | 1664 | |
volker@16 | 1665 | # LDRsim = 1/Eta*Ir/It # simulated LDR* with Y from input file |
binietoglou@19 | 1666 | LDRsim = Ir / It # simulated uncorrected LDR with Y from input file |
volker@16 | 1667 | ''' |
volker@16 | 1668 | if Y == 1.: |
volker@16 | 1669 | LDRsimx = LDRsim |
volker@16 | 1670 | LDRsimx2 = LDRsim2 |
ulalume3@0 | 1671 | else: |
volker@16 | 1672 | LDRsimx = 1./LDRsim |
volker@16 | 1673 | LDRsimx2 = 1./LDRsim2 |
volker@16 | 1674 | ''' |
volker@16 | 1675 | # ----- Backward correction |
volker@16 | 1676 | # Corrected LDRCorr from forward simulated LDRsim (atrue) with assumed true G0,H0,K0 |
binietoglou@19 | 1677 | LDRCorr = (LDRsim * K0 / Etax * (GT0 + HT0) - (GR0 + HR0)) / ( |
binietoglou@19 | 1678 | (GR0 - HR0) - LDRsim * K0 / Etax * (GT0 - HT0)) |
volker@16 | 1679 | |
volker@16 | 1680 | # -- F11corr from It and Ir and calibration EtaX |
volker@16 | 1681 | Text1 = "!!! EXPERIMENTAL !!! F11corr from It and Ir with calibration EtaX: x-axis: F11corr(LDRtrue) / F11corr(LDRtrue = 0.004) - 1" |
binietoglou@19 | 1682 | F11corr = 1 / (TiO * TiE) * ( |
binietoglou@19 | 1683 | (HR0 * Etax / K0 * It / TTa - HT0 * Ir / TRa) / (HR0 * GT0 - HT0 * GR0)) # IL = 1 Eq.(64) |
ulalume3@0 | 1684 | |
binietoglou@19 | 1685 | # Text1 = "F11corr from It and Ir without corrections but with calibration EtaX: x-axis: F11corr(LDRtrue) devided by F11corr(LDRtrue = 0.004)" |
binietoglou@19 | 1686 | # F11corr = 0.5/(TiO*TiE)*(Etax*It/TTa+Ir/TRa) # IL = 1 Eq.(64) |
volker@16 | 1687 | |
volker@16 | 1688 | # -- It from It only with atrue without corrections - for BERTHA (and PollyXTs) |
binietoglou@19 | 1689 | # Text1 = " x-axis: IT(LDRtrue) / IT(LDRtrue = 0.004) - 1" |
binietoglou@19 | 1690 | # F11corr = It/(TaT*TiT*TiO*TiE) #/(TaT*TiT*TiO*TiE*(GT0+atrue*HT0)) |
volker@16 | 1691 | # !!! see below line 1673ff |
volker@16 | 1692 | |
binietoglou@19 | 1693 | aF11corr[iLDR, iN] = F11corr |
binietoglou@19 | 1694 | aA[iLDR, iN] = LDRCorr |
ulalume3@0 | 1695 | |
binietoglou@19 | 1696 | aX[0, iN] = GR |
binietoglou@19 | 1697 | aX[1, iN] = GT |
binietoglou@19 | 1698 | aX[2, iN] = HR |
binietoglou@19 | 1699 | aX[3, iN] = HT |
binietoglou@19 | 1700 | aX[4, iN] = K |
volker@16 | 1701 | |
volker@16 | 1702 | aLDRCal[iN] = iLDRCal |
volker@16 | 1703 | aERaT[iN] = iERaT |
volker@16 | 1704 | aERaR[iN] = iERaR |
volker@16 | 1705 | aRotaT[iN] = iRotaT |
volker@16 | 1706 | aRotaR[iN] = iRotaR |
volker@16 | 1707 | aRetT[iN] = iRetT |
volker@16 | 1708 | aRetR[iN] = iRetR |
volker@16 | 1709 | |
volker@16 | 1710 | aRotL[iN] = iRotL |
volker@16 | 1711 | aRotE[iN] = iRotE |
volker@16 | 1712 | aRetE[iN] = iRetE |
volker@16 | 1713 | aRotO[iN] = iRotO |
volker@16 | 1714 | aRetO[iN] = iRetO |
volker@16 | 1715 | aRotC[iN] = iRotC |
volker@16 | 1716 | aRetC[iN] = iRetC |
volker@16 | 1717 | aDiO[iN] = iDiO |
volker@16 | 1718 | aDiE[iN] = iDiE |
volker@16 | 1719 | aDiC[iN] = iDiC |
volker@16 | 1720 | aTP[iN] = iTP |
volker@16 | 1721 | aTS[iN] = iTS |
volker@16 | 1722 | aRP[iN] = iRP |
volker@16 | 1723 | aRS[iN] = iRS |
ulalume3@0 | 1724 | |
volker@16 | 1725 | # --- END loop |
volker@16 | 1726 | btime = clock() |
binietoglou@19 | 1727 | print("\r done in ", "{0:5.0f}".format(btime - atime), "sec") # , end="\r") |
volker@16 | 1728 | |
volker@16 | 1729 | # --- Plot ----------------------------------------------------------------- |
volker@16 | 1730 | if (sns_loaded): |
volker@16 | 1731 | sns.set_style("whitegrid") |
volker@16 | 1732 | sns.set_palette("bright", 6) |
ulalume3@0 | 1733 | |
volker@16 | 1734 | ''' |
volker@16 | 1735 | fig2 = plt.figure() |
volker@16 | 1736 | plt.plot(aA[2,:],'b.') |
volker@16 | 1737 | plt.plot(aA[3,:],'r.') |
volker@16 | 1738 | plt.plot(aA[4,:],'g.') |
volker@16 | 1739 | #plt.plot(aA[6,:],'c.') |
volker@16 | 1740 | plt.show |
volker@16 | 1741 | ''' |
binietoglou@19 | 1742 | |
binietoglou@19 | 1743 | |
volker@16 | 1744 | # Plot LDR |
volker@16 | 1745 | def PlotSubHist(aVar, aX, X0, daX, iaX, naX): |
volker@16 | 1746 | fig, ax = plt.subplots(nrows=1, ncols=5, sharex=True, sharey=True, figsize=(25, 2)) |
volker@16 | 1747 | iLDR = -1 |
volker@16 | 1748 | for LDRTrue in LDRrange: |
volker@16 | 1749 | iLDR = iLDR + 1 |
ulalume3@0 | 1750 | |
binietoglou@19 | 1751 | LDRmin[iLDR] = np.min(aA[iLDR, :]) |
binietoglou@19 | 1752 | LDRmax[iLDR] = np.max(aA[iLDR, :]) |
binietoglou@19 | 1753 | Rmin = LDRmin[iLDR] * 0.995 # np.min(aA[iLDR,:]) * 0.995 |
binietoglou@19 | 1754 | Rmax = LDRmax[iLDR] * 1.005 # np.max(aA[iLDR,:]) * 1.005 |
volker@16 | 1755 | |
binietoglou@19 | 1756 | # plt.subplot(5,2,iLDR+1) |
binietoglou@19 | 1757 | plt.subplot(1, 5, iLDR + 1) |
binietoglou@19 | 1758 | (n, bins, patches) = plt.hist(aA[iLDR, :], |
binietoglou@19 | 1759 | bins=100, log=False, |
binietoglou@19 | 1760 | range=[Rmin, Rmax], |
binietoglou@19 | 1761 | alpha=0.5, normed=False, color='0.5', histtype='stepfilled') |
ulalume3@0 | 1762 | |
binietoglou@19 | 1763 | for iaX in range(-naX, naX + 1): |
binietoglou@19 | 1764 | plt.hist(aA[iLDR, aX == iaX], |
volker@16 | 1765 | range=[Rmin, Rmax], |
binietoglou@19 | 1766 | bins=100, log=False, alpha=0.3, normed=False, histtype='stepfilled', |
binietoglou@19 | 1767 | label=str(round(X0 + iaX * daX / naX, 5))) |
volker@16 | 1768 | |
volker@16 | 1769 | if (iLDR == 2): plt.legend() |
volker@16 | 1770 | |
volker@16 | 1771 | plt.tick_params(axis='both', labelsize=9) |
volker@16 | 1772 | plt.plot([LDRTrue, LDRTrue], [0, np.max(n)], 'r-', lw=2) |
volker@16 | 1773 | |
binietoglou@19 | 1774 | # plt.title(LID + ' ' + aVar, fontsize=18) |
binietoglou@19 | 1775 | # plt.ylabel('frequency', fontsize=10) |
binietoglou@19 | 1776 | # plt.xlabel('LDRcorr', fontsize=10) |
binietoglou@19 | 1777 | # fig.tight_layout() |
binietoglou@19 | 1778 | fig.suptitle(LID + ' with ' + str(Type[TypeC]) + ' ' + str(Loc[LocC]) + ' - ' + aVar, fontsize=14, y=1.05) |
binietoglou@19 | 1779 | # plt.show() |
binietoglou@19 | 1780 | # fig.savefig(LID + '_' + aVar + '.png', dpi=150, bbox_inches='tight', pad_inches=0) |
binietoglou@19 | 1781 | # plt.close |
volker@16 | 1782 | return |
ulalume3@0 | 1783 | |
binietoglou@19 | 1784 | |
volker@16 | 1785 | if (nRotL > 0): PlotSubHist("RotL", aRotL, RotL0, dRotL, iRotL, nRotL) |
volker@16 | 1786 | if (nRetE > 0): PlotSubHist("RetE", aRetE, RetE0, dRetE, iRetE, nRetE) |
volker@16 | 1787 | if (nRotE > 0): PlotSubHist("RotE", aRotE, RotE0, dRotE, iRotE, nRotE) |
volker@16 | 1788 | if (nDiE > 0): PlotSubHist("DiE", aDiE, DiE0, dDiE, iDiE, nDiE) |
volker@16 | 1789 | if (nRetO > 0): PlotSubHist("RetO", aRetO, RetO0, dRetO, iRetO, nRetO) |
volker@16 | 1790 | if (nRotO > 0): PlotSubHist("RotO", aRotO, RotO0, dRotO, iRotO, nRotO) |
volker@16 | 1791 | if (nDiO > 0): PlotSubHist("DiO", aDiO, DiO0, dDiO, iDiO, nDiO) |
volker@16 | 1792 | if (nDiC > 0): PlotSubHist("DiC", aDiC, DiC0, dDiC, iDiC, nDiC) |
volker@16 | 1793 | if (nRotC > 0): PlotSubHist("RotC", aRotC, RotC0, dRotC, iRotC, nRotC) |
volker@16 | 1794 | if (nRetC > 0): PlotSubHist("RetC", aRetC, RetC0, dRetC, iRetC, nRetC) |
volker@16 | 1795 | if (nTP > 0): PlotSubHist("TP", aTP, TP0, dTP, iTP, nTP) |
volker@16 | 1796 | if (nTS > 0): PlotSubHist("TS", aTS, TS0, dTS, iTS, nTS) |
volker@16 | 1797 | if (nRP > 0): PlotSubHist("RP", aRP, RP0, dRP, iRP, nRP) |
volker@16 | 1798 | if (nRS > 0): PlotSubHist("RS", aRS, RS0, dRS, iRS, nRS) |
volker@16 | 1799 | if (nRetT > 0): PlotSubHist("RetT", aRetT, RetT0, dRetT, iRetT, nRetT) |
volker@16 | 1800 | if (nRetR > 0): PlotSubHist("RetR", aRetR, RetR0, dRetR, iRetR, nRetR) |
volker@16 | 1801 | if (nERaT > 0): PlotSubHist("ERaT", aERaT, ERaT0, dERaT, iERaT, nERaT) |
volker@16 | 1802 | if (nERaR > 0): PlotSubHist("ERaR", aERaR, ERaR0, dERaR, iERaR, nERaR) |
volker@16 | 1803 | if (nRotaT > 0): PlotSubHist("RotaT", aRotaT, RotaT0, dRotaT, iRotaT, nRotaT) |
volker@16 | 1804 | if (nRotaR > 0): PlotSubHist("RotaR", aRotaR, RotaR0, dRotaR, iRotaR, nRotaR) |
volker@16 | 1805 | if (nLDRCal > 0): PlotSubHist("LDRCal", aLDRCal, LDRCal0, dLDRCal, iLDRCal, nLDRCal) |
ulalume3@0 | 1806 | |
volker@16 | 1807 | plt.show() |
volker@16 | 1808 | plt.close |
volker@16 | 1809 | ''' |
volker@16 | 1810 | print() |
volker@16 | 1811 | #print("IT(LDRtrue) devided by IT(LDRtrue = 0.004)") |
volker@16 | 1812 | print(" ############################################################################## ") |
volker@16 | 1813 | print(Text1) |
volker@16 | 1814 | print() |
volker@16 | 1815 | |
volker@16 | 1816 | iLDR = 5 |
volker@16 | 1817 | for LDRTrue in LDRrange: |
volker@16 | 1818 | iLDR = iLDR - 1 |
volker@16 | 1819 | aF11corr[iLDR,:] = aF11corr[iLDR,:] / aF11corr[0,:] - 1.0 |
ulalume3@0 | 1820 | |
volker@16 | 1821 | # Plot F11 |
volker@16 | 1822 | def PlotSubHistF11(aVar, aX, X0, daX, iaX, naX): |
volker@16 | 1823 | fig, ax = plt.subplots(nrows=1, ncols=5, sharex=True, sharey=True, figsize=(25, 2)) |
volker@16 | 1824 | iLDR = -1 |
volker@16 | 1825 | for LDRTrue in LDRrange: |
volker@16 | 1826 | iLDR = iLDR + 1 |
volker@16 | 1827 | |
volker@16 | 1828 | #F11min[iLDR] = np.min(aF11corr[iLDR,:]) |
volker@16 | 1829 | #F11max[iLDR] = np.max(aF11corr[iLDR,:]) |
volker@16 | 1830 | #Rmin = F11min[iLDR] * 0.995 # np.min(aA[iLDR,:]) * 0.995 |
volker@16 | 1831 | #Rmax = F11max[iLDR] * 1.005 # np.max(aA[iLDR,:]) * 1.005 |
volker@16 | 1832 | |
volker@16 | 1833 | #Rmin = 0.8 |
volker@16 | 1834 | #Rmax = 1.2 |
ulalume3@0 | 1835 | |
volker@16 | 1836 | #plt.subplot(5,2,iLDR+1) |
volker@16 | 1837 | plt.subplot(1,5,iLDR+1) |
volker@16 | 1838 | (n, bins, patches) = plt.hist(aF11corr[iLDR,:], |
volker@16 | 1839 | bins=100, log=False, |
volker@16 | 1840 | alpha=0.5, normed=False, color = '0.5', histtype='stepfilled') |
volker@16 | 1841 | |
volker@16 | 1842 | for iaX in range(-naX,naX+1): |
volker@16 | 1843 | plt.hist(aF11corr[iLDR,aX == iaX], |
volker@16 | 1844 | bins=100, log=False, alpha=0.3, normed=False, histtype='stepfilled', label = str(round(X0 + iaX*daX/naX,5))) |
volker@16 | 1845 | |
volker@16 | 1846 | if (iLDR == 2): plt.legend() |
volker@16 | 1847 | |
volker@16 | 1848 | plt.tick_params(axis='both', labelsize=9) |
volker@16 | 1849 | #plt.plot([LDRTrue, LDRTrue], [0, np.max(n)], 'r-', lw=2) |
volker@16 | 1850 | |
volker@16 | 1851 | #plt.title(LID + ' ' + aVar, fontsize=18) |
volker@16 | 1852 | #plt.ylabel('frequency', fontsize=10) |
volker@16 | 1853 | #plt.xlabel('LDRcorr', fontsize=10) |
volker@16 | 1854 | #fig.tight_layout() |
volker@16 | 1855 | fig.suptitle(LID + ' ' + str(Type[TypeC]) + ' ' + str(Loc[LocC]) + ' - ' + aVar, fontsize=14, y=1.05) |
volker@16 | 1856 | #plt.show() |
volker@16 | 1857 | #fig.savefig(LID + '_' + aVar + '.png', dpi=150, bbox_inches='tight', pad_inches=0) |
volker@16 | 1858 | #plt.close |
volker@16 | 1859 | return |
ulalume3@0 | 1860 | |
volker@16 | 1861 | if (nRotL > 0): PlotSubHistF11("RotL", aRotL, RotL0, dRotL, iRotL, nRotL) |
volker@16 | 1862 | if (nRetE > 0): PlotSubHistF11("RetE", aRetE, RetE0, dRetE, iRetE, nRetE) |
volker@16 | 1863 | if (nRotE > 0): PlotSubHistF11("RotE", aRotE, RotE0, dRotE, iRotE, nRotE) |
volker@16 | 1864 | if (nDiE > 0): PlotSubHistF11("DiE", aDiE, DiE0, dDiE, iDiE, nDiE) |
volker@16 | 1865 | if (nRetO > 0): PlotSubHistF11("RetO", aRetO, RetO0, dRetO, iRetO, nRetO) |
volker@16 | 1866 | if (nRotO > 0): PlotSubHistF11("RotO", aRotO, RotO0, dRotO, iRotO, nRotO) |
volker@16 | 1867 | if (nDiO > 0): PlotSubHistF11("DiO", aDiO, DiO0, dDiO, iDiO, nDiO) |
volker@16 | 1868 | if (nDiC > 0): PlotSubHistF11("DiC", aDiC, DiC0, dDiC, iDiC, nDiC) |
volker@16 | 1869 | if (nRotC > 0): PlotSubHistF11("RotC", aRotC, RotC0, dRotC, iRotC, nRotC) |
volker@16 | 1870 | if (nRetC > 0): PlotSubHistF11("RetC", aRetC, RetC0, dRetC, iRetC, nRetC) |
volker@16 | 1871 | if (nTP > 0): PlotSubHistF11("TP", aTP, TP0, dTP, iTP, nTP) |
volker@16 | 1872 | if (nTS > 0): PlotSubHistF11("TS", aTS, TS0, dTS, iTS, nTS) |
volker@16 | 1873 | if (nRP > 0): PlotSubHistF11("RP", aRP, RP0, dRP, iRP, nRP) |
volker@16 | 1874 | if (nRS > 0): PlotSubHistF11("RS", aRS, RS0, dRS, iRS, nRS) |
volker@16 | 1875 | if (nRetT > 0): PlotSubHistF11("RetT", aRetT, RetT0, dRetT, iRetT, nRetT) |
volker@16 | 1876 | if (nRetR > 0): PlotSubHistF11("RetR", aRetR, RetR0, dRetR, iRetR, nRetR) |
volker@16 | 1877 | if (nERaT > 0): PlotSubHistF11("ERaT", aERaT, ERaT0, dERaT, iERaT, nERaT) |
volker@16 | 1878 | if (nERaR > 0): PlotSubHistF11("ERaR", aERaR, ERaR0, dERaR, iERaR, nERaR) |
volker@16 | 1879 | if (nRotaT > 0): PlotSubHistF11("RotaT", aRotaT, RotaT0, dRotaT, iRotaT, nRotaT) |
volker@16 | 1880 | if (nRotaR > 0): PlotSubHistF11("RotaR", aRotaR, RotaR0, dRotaR, iRotaR, nRotaR) |
volker@16 | 1881 | if (nLDRCal > 0): PlotSubHistF11("LDRCal", aLDRCal, LDRCal0, dLDRCal, iLDRCal, nLDRCal) |
ulalume3@0 | 1882 | |
volker@16 | 1883 | plt.show() |
volker@16 | 1884 | plt.close |
volker@16 | 1885 | ''' |
volker@16 | 1886 | |
volker@16 | 1887 | ''' |
volker@16 | 1888 | # only histogram |
volker@16 | 1889 | #print("******************* " + aVar + " *******************") |
volker@16 | 1890 | fig, ax = plt.subplots(nrows=5, ncols=2, sharex=True, sharey=True, figsize=(10, 10)) |
ulalume3@0 | 1891 | iLDR = -1 |
ulalume3@0 | 1892 | for LDRTrue in LDRrange: |
ulalume3@0 | 1893 | iLDR = iLDR + 1 |
ulalume3@0 | 1894 | LDRmin[iLDR] = np.min(aA[iLDR,:]) |
ulalume3@0 | 1895 | LDRmax[iLDR] = np.max(aA[iLDR,:]) |
volker@16 | 1896 | Rmin = np.min(aA[iLDR,:]) * 0.999 |
volker@16 | 1897 | Rmax = np.max(aA[iLDR,:]) * 1.001 |
volker@16 | 1898 | plt.subplot(5,2,iLDR+1) |
ulalume3@0 | 1899 | (n, bins, patches) = plt.hist(aA[iLDR,:], |
ulalume3@0 | 1900 | range=[Rmin, Rmax], |
volker@16 | 1901 | bins=200, log=False, alpha=0.2, normed=False, color = '0.5', histtype='stepfilled') |
ulalume3@0 | 1902 | plt.tick_params(axis='both', labelsize=9) |
ulalume3@0 | 1903 | plt.plot([LDRTrue, LDRTrue], [0, np.max(n)], 'r-', lw=2) |
volker@16 | 1904 | plt.show() |
volker@16 | 1905 | plt.close |
volker@16 | 1906 | ''' |
ulalume3@0 | 1907 | |
volker@16 | 1908 | # --- Plot LDRmin, LDRmax |
volker@16 | 1909 | fig2 = plt.figure() |
binietoglou@19 | 1910 | plt.plot(LDRrange, LDRmax - LDRrange, linewidth=2.0, color='b') |
binietoglou@19 | 1911 | plt.plot(LDRrange, LDRmin - LDRrange, linewidth=2.0, color='g') |
ulalume3@0 | 1912 | |
volker@16 | 1913 | plt.xlabel('LDRtrue', fontsize=18) |
volker@16 | 1914 | plt.ylabel('LDRTrue-LDRmin, LDRTrue-LDRmax', fontsize=14) |
volker@16 | 1915 | plt.title(LID + ' ' + str(Type[TypeC]) + ' ' + str(Loc[LocC]), fontsize=18) |
binietoglou@19 | 1916 | # plt.ylimit(-0.07, 0.07) |
volker@16 | 1917 | plt.show() |
volker@16 | 1918 | plt.close |
ulalume3@0 | 1919 | |
volker@16 | 1920 | # --- Save LDRmin, LDRmax to file |
volker@16 | 1921 | # http://stackoverflow.com/questions/4675728/redirect-stdout-to-a-file-in-python |
volker@16 | 1922 | with open('output_files\LDR_min_max_' + LID + '.dat', 'w') as f: |
volker@16 | 1923 | with redirect_stdout(f): |
volker@16 | 1924 | print(LID) |
volker@16 | 1925 | print("LDRtrue, LDRmin, LDRmax") |
volker@16 | 1926 | for i in range(len(LDRrange)): |
volker@16 | 1927 | print("{0:7.4f},{1:7.4f},{2:7.4f}".format(LDRrange[i], LDRmin[i], LDRmax[i])) |
ulalume3@0 | 1928 | |
volker@16 | 1929 | ''' |
volker@16 | 1930 | # --- Plot K over LDRCal |
volker@16 | 1931 | fig3 = plt.figure() |
volker@16 | 1932 | plt.plot(LDRCal0+aLDRCal*dLDRCal/nLDRCal,aX[4,:], linewidth=2.0, color='b') |
ulalume3@0 | 1933 | |
volker@16 | 1934 | plt.xlabel('LDRCal', fontsize=18) |
volker@16 | 1935 | plt.ylabel('K', fontsize=14) |
volker@16 | 1936 | plt.title(LID, fontsize=18) |
volker@16 | 1937 | plt.show() |
volker@16 | 1938 | plt.close |
volker@16 | 1939 | ''' |
ulalume3@0 | 1940 | |
ulalume3@0 | 1941 | # Additional plot routines ======> |
ulalume3@0 | 1942 | ''' |
ulalume3@0 | 1943 | #****************************************************************************** |
ulalume3@0 | 1944 | # 1. Plot LDRcorrected - LDR(measured Icross/Iparallel) |
ulalume3@0 | 1945 | LDRa = np.arange(1.,100.)*0.005 |
ulalume3@0 | 1946 | LDRCorra = np.arange(1.,100.) |
ulalume3@0 | 1947 | if Y == - 1.: LDRa = 1./LDRa |
ulalume3@0 | 1948 | LDRCorra = (1./Eta*LDRa*(GT+HT)-(GR+HR))/((GR-HR)-1./Eta*LDRa*(GT-HT)) |
ulalume3@0 | 1949 | if Y == - 1.: LDRa = 1./LDRa |
ulalume3@0 | 1950 | # |
ulalume3@0 | 1951 | #fig = plt.figure() |
ulalume3@0 | 1952 | plt.plot(LDRa,LDRCorra-LDRa) |
ulalume3@0 | 1953 | plt.plot([0.,0.5],[0.,0.5]) |
ulalume3@0 | 1954 | plt.suptitle('LDRcorrected - LDR(measured Icross/Iparallel)', fontsize=16) |
ulalume3@0 | 1955 | plt.xlabel('LDR', fontsize=18) |
ulalume3@0 | 1956 | plt.ylabel('LDRCorr - LDR', fontsize=16) |
ulalume3@0 | 1957 | #plt.savefig('test.png') |
ulalume3@0 | 1958 | # |
ulalume3@0 | 1959 | ''' |
ulalume3@0 | 1960 | ''' |
ulalume3@0 | 1961 | #****************************************************************************** |
ulalume3@0 | 1962 | # 2. Plot LDRsim (simulated measurements without corrections = Icross/Iparallel) over LDRtrue |
ulalume3@0 | 1963 | LDRa = np.arange(1.,100.)*0.005 |
ulalume3@0 | 1964 | LDRsima = np.arange(1.,100.) |
ulalume3@0 | 1965 | |
ulalume3@0 | 1966 | atruea = (1.-LDRa)/(1+LDRa) |
ulalume3@0 | 1967 | Ita = TiT*TiO*IinL*(GT+atruea*HT) |
ulalume3@0 | 1968 | Ira = TiR*TiO*IinL*(GR+atruea*HR) |
ulalume3@0 | 1969 | LDRsima = Ira/Ita # simulated uncorrected LDR with Y from input file |
ulalume3@0 | 1970 | if Y == -1.: LDRsima = 1./LDRsima |
ulalume3@0 | 1971 | # |
ulalume3@0 | 1972 | #fig = plt.figure() |
ulalume3@0 | 1973 | plt.plot(LDRa,LDRsima) |
ulalume3@0 | 1974 | plt.plot([0.,0.5],[0.,0.5]) |
ulalume3@0 | 1975 | plt.suptitle('LDRsim (simulated measurements without corrections = Icross/Iparallel) over LDRtrue', fontsize=10) |
ulalume3@0 | 1976 | plt.xlabel('LDRtrue', fontsize=18) |
ulalume3@0 | 1977 | plt.ylabel('LDRsim', fontsize=16) |
ulalume3@0 | 1978 | #plt.savefig('test.png') |
ulalume3@0 | 1979 | # |
ulalume3@0 | 1980 | ''' |