Wed, 07 Jul 2021 15:59:31 +0200
2nd order polynomial fits to
- K(LDRCal) and
- LDR-uncertainty max. and min depending on LDRtrue
# This Python script will be executed from within the main lidar_correction_ghk.py # Probably it will be better in the future to let the main script rather read a conguration file, # which might improve the portability of the code within an executable. # Due to problems I had with some two letter variables, most variables are now with at least # three letters mixed small and capital. # To be used with lidar_correction_ghk.py ver. 0.9.5 and larger # Do you want to calculate the errors? If not, just the GHK-parameters are determined. Error_Calc = True # Header to identify the lidar system EID = "li" # Earlinet station ID LID = "PollyXT Lacros Limassol" # Additional lidar ID (short descriptive text) print(" Lidar system :", EID, ", ", LID) # +++ IL Laser and +-Uncertainty Qin, dQin, nQin = 1.0, 0.0, 0 # second Stokes vector parameter; default 1 => linear polarization 0.999 => LDR = 0.0005 Vin, dVin, nVin = 0.0, 0.0, 0 # fourth Stokes vector parameter; default 0 => corresponds to LDR 0.0005 with DOP 1 RotL, dRotL, nRotL = 90.0, 1.0, 1 #alpha; rotation of laser polarization in degrees; alle wellenlängen im PollyXT Lacros sind vertical zum opt. Tisch polarisiert. # +++ ME Emitter optics and +-Uncertainty; default = no emitter optics DiE, dDiE, nDiE = 0.0, 0.02, 0 # Diattenuation TiE = 1.0 # Unpolarized transmittance RetE, dRetE, nRetE = 0., 180., 0 # Retardance in degrees RotE, dRotE, nRotE = 0., 1.0, 0 # beta: Rotation of the optical element in degrees # +++ MO Receiver optics including telescope DiO, dDiO, nDiO = 0.0, 0.0, 0 # Diattenuation TiO = 1.0 # Unpolarized transmittance RetO, dRetO, nRetO = 0., 180., 0 # Retardance in degrees RotO, dRotO, nRotO = 0., 0.5, 0 # gamma: Rotation of the optical element in degrees # +++++ PBS MT Transmitting path defined with TS, TP, PolFilter extinction ratio ERaT, and +-Uncertainty # --- Polarizing beam splitter transmitting path TP, dTP, nTP = 0.50, 1.0, 0 # transmittance of the PBS for parallel polarized light TS, dTS, nTS = 0.50, 1.0, 0 # transmittance of the PBS for cross polarized light RetT, dRetT, nRetT = 0.0, 180., 0 # Retardance in degrees # --- Pol.Filter behind transmitted path of PBS ERaT, dERaT, nERaT = 0.00075, 0.00025, 0 # Extinction ratio RotaT, dRotaT, nRotaT = 0., 1., 1 # Rotation of the Pol.-filter in degrees; usually close to 0° because TP >> TS, but for PollyXTs it can also be close to 90° # -- TiT = 0.5 * (TP + TS) # do not change this DiT = (TP-TS)/(TP+TS) # do not change this DaT = (1-ERaT)/(1+ERaT) # do not change this TaT = 0.5*(1+ERaT) # do not change this # +++++ PBS MR Reflecting path defined with RS, RP, and cleaning PolFilter extinction ratio ERaR and +-Uncertainty # ---- for PBS without absorption the change of RS and RP must depend on the change of TP and TS. Hence the values and uncertainties are not independent. RS_RP_depend_on_TS_TP = True # --- Polarizing beam splitter reflecting path if(RS_RP_depend_on_TS_TP): RP, dRP, nRP = 1-TP, 0.00, 0 # do not change this RS, dRS, nRS = 1-TS, 0.00, 0 # do not change this else: RP, dRP, nRP = 0.5, 0.01, 0 # change this if RS_RP_depend_on_TS_TP = False; reflectance of the PBS for parallel polarized light RS, dRS, nRS = 0.5, 0.01, 0 # change this if RS_RP_depend_on_TS_TP = False; reflectance of the PBS for cross polarized light RetR, dRetR, nRetR = 0.0, 180., 0 # Retardance in degrees # --- Pol.Filter behind reflected path of PBS ERaR, dERaR, nERaR = 1.0, 0.0, 0 # Extinction ratio RotaR, dRotaR, nRotaR = 0., 1., 0 # Rotation of the Pol.-filter in degrees; usually close to 90° because RS >> RP, but for PollyXTs it can also be close to 0° # -- TiR = 0.5 * (RP + RS) # do not change this DiR = (RP-RS)/(RP+RS) # do not change this DaR = (1-ERaR)/(1+ERaR) # do not change this TaR = 0.5*(1+ERaR) # do not change this # NEW --- Additional ND filter transmission (attenuation) during the calibration TCalT, dTCalT, nTCalT = 1, 0.01, 0 # transmitting path, default 1, 0, 0 TCalR, dTCalR, nTCalR = 1, 0.0001, 0 # reflecting path, default 1, 0, 0 # +++ Orientation of the PBS with respect to the reference plane (see Improvements_of_lidar_correction_ghk_ver.0.9.8_190124.pdf) # Y = +1: polarisation in reference plane is finally transmitted, # Y = -1: polarisation in reference plane is finally reflected. Y = +1. # +++ Calibrator # --- Calibrator Type used; defined by matrix values below TypeC = 3 #Type of calibrator: 1 = mechanical rotator; 2 = hwp rotator (fixed retardation); 3 = linear polarizer; 4 = qwp; 5 = circular polarizer; 6 = real HWP calibration +-22.5° # --- Calibrator Location LocC = 3 #location of calibrator: 1 = behind laser; 2 = behind emitter; 3 = before receiver; 4 = before PBS # --- MC Calibrator parameters if TypeC == 1: #mechanical rotator DiC, dDiC, nDiC = 0., 0., 0 # Diattenuation TiC = 1. RetC, dRetC, nRetC = 0., 0., 0 # Retardance in degrees RotC, dRotC, nRotC = 0., 1.0, 1 #constant calibrator rotation offset epsilon # Rotation error without calibrator: if False, then epsilon = 0 for normal measurements RotationErrorEpsilonForNormalMeasurements = True # is in general True for TypeC == 1 calibrator elif TypeC == 2: # HWP simulated by rotator without retardance! DiC, dDiC, nDiC = 0., 0., 0 # Diattenuation; ideal 0.0 TiC = 1. RetC, dRetC, nRetC = 180., 0., 0 # Retardance in degrees #NOTE: use here twice the HWP-rotation-angle RotC, dRotC, nRotC = 0.0, 0.1, 1 #constant calibrator rotation offset epsilon RotationErrorEpsilonForNormalMeasurements = True # is in general True for TypeC == 2 calibrator elif TypeC == 3: # linear polarizer calibrator. Diattenuation DiC = (1-ERC)/(1+ERC); ERC = extinction ratio of calibrator DiC, dDiC, nDiC = 0.9985, 0.0005, 1 # Diattenuation; ideal 1.0 TiC = 0.4 # ideal 0.5 RetC, dRetC, nRetC = 0., 0., 0 # Retardance in degrees RotC, dRotC, nRotC = 0.0, 0.1, 0 #constant calibrator rotation offset epsilon RotationErrorEpsilonForNormalMeasurements = False # is in general False for TypeC == 3 calibrator elif TypeC == 4: # QWP calibrator DiC, dDiC, nDiC = 0.0, 0., 0 # Diattenuation; ideal 0.0 TiC = 1.0 # ideal 0.5 RetC, dRetC, nRetC = 90., 0., 0 # Retardance in degrees RotC, dRotC, nRotC = 0.0, 0.1, 1 #constant calibrator rotation offset epsilon RotationErrorEpsilonForNormalMeasurements = False # is False for TypeC == 4 calibrator elif TypeC == 6: # real half-wave plate rotator calibration at +-22.5° => rotated_diattenuator_X22x5deg.odt DiC, dDiC, nDiC = 0., 0., 0 # Diattenuation; ideal 0.0 TiC = 1. RetC, dRetC, nRetC = 180., 0., 0 # Retardance in degrees #Note: use real HWP angles here RotC, dRotC, nRotC = 0.0, 0.1, 1 #constant calibrator rotation offset epsilon RotationErrorEpsilonForNormalMeasurements = True # is in general True for TypeC == 6 calibrator else: print ('calibrator not implemented yet') sys.exit() # --- LDRCal assumed atmospheric linear depolarization ratio during the calibration measurements in calibration range with almost clean air (first guess) # LDRCal,dLDRCal,nLDRCal= 0.2, 0.15, 1 # spans most of the atmospheric depolarisation variability LDRCal,dLDRCal,nLDRCal= 0.009, 0.005, 1 # spans the interference filter influence # ==================================================== # NOTE: there is no need to change anything below. # ==================================================== # !!! don't change anything in this section !!! bPlotEtax = False # plot error histogramms for Etax # NEW *** Only for signal noise errors *** nNCal = 0 # error nNCal, calibration signals: one-sigma (fixed) in nNCal steps to left and right nNI = 0 # error nNI, 0° signals: one-sigma (fixed) in nNI steps to left and right; NI signals are calculated from NCalT and NCalR in main programm, but noise is assumed to be independent. # --- number of photon counts in the signal summed up in the calibration range during the calibration measurements NCalT = 40000 # default 1e6, assumed the same in +45° and -45° signals; counts with ND-filter TCalT NCalR = 40000 # default 1e6, assumed the same in +45° and -45° signals; counts with ND-filter TCalR NILfac = 1 # (relative duration (laser shots) of standard (0°) measurement to calibration measurements) * (range of std. meas. smoothing / calibration range); example: 100000#/5000# * 100/1000 = 2 # LDRmeas below will be used to calculate IR and IT of 0° signals. # calculate signal counts only from parallel 0° signal assuming the same electronic amplification in both channels; overwrites above values CalcFrom0deg = True NI = 100000000 #number of photon counts in the parallel 0°-signal 40000 if(CalcFrom0deg): # either eFactT or eFacR is = 1 => rel. amplification eFacT = 1 # rel. amplification of transmitted channel, approximate values are sufficient; def. = 1 eFacR = 1 # rel. amplification of reflected channel, approximate values are sufficient; def. = 1 NILfac = 1 # (relative duration (laser shots) of standard (0°) measurement to calibration measurements) * (range of std. meas. smoothing / calibration range); example: 100000#/5000# * 100/1000 = 2 NCalT = NI / NILfac * TCalT * eFacT # photon counts in transmitted signal during calibration NCalR = NI / NILfac * TCalR * eFacR # photon counts in reflected signal during calibration # LDRmeas below will be used to calculate IR and IT of 0° signals. # NEW *** End of signal noise error parameters *** # --- LDRtrue for simulation of measurement => LDRsim LDRtrue = 0.004 LDRtrue2 = 0.004 # --- measured LDRm will be corrected with calculated parameters GHK LDRmeas = 0.3 # --- this is just for correct transfer of the variables to the main file Qin0, dQin, nQin = Qin, dQin, nQin Vin0, dVin, nVin = Vin, dVin, nVin RotL0, dRotL, nRotL = RotL, dRotL, nRotL # Emitter DiE0, dDiE, nDiE = DiE, dDiE, nDiE RetE0, dRetE, nRetE = RetE, dRetE, nRetE RotE0, dRotE, nRotE = RotE, dRotE, nRotE # Receiver DiO0, dDiO, nDiO = DiO, dDiO, nDiO RetO0, dRetO, nRetO = RetO, dRetO, nRetO RotO0, dRotO, nRotO = RotO, dRotO, nRotO # Calibrator DiC0, dDiC, nDiC = DiC, dDiC, nDiC RetC0, dRetC, nRetC = RetC, dRetC, nRetC RotC0, dRotC, nRotC = RotC, dRotC, nRotC # PBS TP0, dTP, nTP = TP, dTP, nTP TS0, dTS, nTS = TS, dTS, nTS RetT0, dRetT, nRetT = RetT, dRetT, nRetT ERaT0, dERaT, nERaT = ERaT, dERaT, nERaT RotaT0,dRotaT,nRotaT= RotaT,dRotaT,nRotaT RP0, dRP, nRP = RP, dRP, nRP RS0, dRS, nRS = RS, dRS, nRS RetR0, dRetR, nRetR = RetR, dRetR, nRetR ERaR0, dERaR, nERaR = ERaR, dERaR, nERaR RotaR0,dRotaR,nRotaR= RotaR,dRotaR,nRotaR LDRCal0,dLDRCal,nLDRCal=LDRCal,dLDRCal,nLDRCal