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system_settings/output_optic_input_0.9.8h-PollyXT_Cyprus_532_210429_vf_4_GHK_0.9.8h_Py3.7.dat@7c14c9a085ba (annotated)

system_settings/output_optic_input_0.9.8h-PollyXT_Cyprus_532_210429_vf_4_GHK_0.9.8h_Py3.7.dat

Wed, 07 Jul 2021 15:42:30 +0200

author

Volker Freudenthaler

date

Wed, 07 Jul 2021 15:42:30 +0200

changeset 49

7c14c9a085ba

permissions

-rw-r--r--

2nd order polynomial fits to
- K(LDRCal) and
- LDR-uncertainty max. and min depending on LDRtrue

Volker@49	1	From C:\Projects\Earlinet-Asos\Lidarsystems\calc_lidar_correction_parameters
Volker@49	2	Running GHK_0.9.8h_Py3.7.py
Volker@49	3	Reading input file optic_input_0.9.8h-PollyXT_Cyprus_532_210429_vf_4.py
Volker@49	4	for Lidar system: li , PollyXT Cyprus 210429 532 approx 4
Volker@49	5	--- Input parameters: value ±error / ±steps ----------------------
Volker@49	6	Laser: Qin = 0.9672± 0.0100/ 1
Volker@49	7	Vin = 0.0000± 0.0000/ 0
Volker@49	8	Rotation alpha = 91.6500± 0.2400/ 1
Volker@49	9	=> DOP 0.9672 (degree of polarisation)
Volker@49	10	Optic: Diatt., Tunpol, Retard., Rotation (deg)
Volker@49	11	Emitter 0.0000 ± 0.0200 / 0, 1.0000, 0±180/ 0, 0.0000± 1.0000/ 0
Volker@49	12	Receiver 0.0000 ± 0.0200 / 0, 1.0000, 0±180/ 0, 0.0000± 0.5000/ 0
Volker@49	13	Calibrator 0.999280± 0.000210/ 1, 0.4000, 0± 0/ 0, 0.0000± 0.1000/ 0
Volker@49	14	Pol.-filter ------
Volker@49	15	ERT, RotT : 1.0000± 0.0000/ 0, 0.0000± 1.0000/ 1
Volker@49	16	ERR, RotR : 1.0000± 0.0000/ 0, 0.0000± 1.0000/ 0
Volker@49	17	PBS ------
Volker@49	18	TP,TS : 0.5000± 0.0100/ 1, 0.5000± 0.0100/ 1
Volker@49	19	RP,RS : 0.0020± 0.0010/ 1, 0.9980± 0.0010/ 1
Volker@49	20	DT,TT,DR,TR,Y : 0.0000, 0.5000, -0.9960, 0.5000, -1
Volker@49	21	Combined PBS + Pol.-filter ------
Volker@49	22	DT,TT,DR,TR : 0.0000, 0.5000, -0.9960, 0.5000
Volker@49	23	LDRCal during calibration in calibration range: 0.110± 0.100/ 1
Volker@49	24	--- Additional ND filter attenuation (transmission) during the calibration ---
Volker@49	25	TCalT,TCalR : 1.0000± 0.0100/ 0, 1.0000± 0.0001/ 0
Volker@49	26
Volker@49	27	Linear polarizer calibrator is located before the receiver
Volker@49	28	Rotation error epsilon is considered also for normal measurements = False
Volker@49	29	The PBS incidence plane is perpendicular to the reference plane
Volker@49	30	The laser polarisation in the reference plane is finally reflected => the parallel laser polarisation is detected in the transmitted channel.
Volker@49	31	RS_RP_depend_on_TS_TP = False
Volker@49	32
Volker@49	33	===========================================================================================================
Volker@49	34	GR , GT , HR , HT , K(0.110), K(0.004), K(0.05) , K(0.1) , K(0.2) , K(0.3) , K(0.45)
Volker@49	35	1.00000, 1.00000,-0.96173, 0.00000, 0.97068 , 0.96369, 0.96690, 0.97008, 0.97564, 0.98033, 0.98615
Volker@49	36	===========================================================================================================
Volker@49	37
Volker@49	38	2nd order polyfit: K(LDRcal) = a + (b * LDRcal) + (c * LDRcal^2)
Volker@49	39	(LDRcal is the volume linear depolarisation ratio in the range used for the polarisation calibration)
Volker@49	40	a = 0.96352
Volker@49	41	b = 0.06904
Volker@49	42	c = -0.04188
Volker@49	43
Volker@49	44	Errors from neglecting GHK corrections and/or calibration:
Volker@49	45	LDRtrue, LDRunCorr,1/LDRunCorr, LDRsimx, 1/LDRsimx, LDRCorr
Volker@49	46	0.00400, 0.04732, 21.13427, 0.04593, 21.77255, 0.00400
Volker@49	47	0.02000, 0.07828, 12.77531, 0.07598, 13.16114, 0.02000
Volker@49	48	0.10000, 0.21956, 4.55449, 0.21313, 4.69204, 0.10000
Volker@49	49	0.30000, 0.49670, 2.01327, 0.48214, 2.07407, 0.30000
Volker@49	50	0.45000, 0.65439, 1.52814, 0.63520, 1.57430, 0.45000
Volker@49	51	LDRsimx = LDR of the nominal system directly from measured signals without calibration and GHK-corrections
Volker@49	52	LDRunCorr = LDR of the nominal system directly from measured signals with calibration but without GHK-corrections; electronic amplifications = 1 assumed
Volker@49	53	LDRCorr = LDR calibrated and GHK-corrected
Volker@49	54
Volker@49	55	Errors from signal noise:
Volker@49	56	Signal counts: NI, NCalT, NCalR, NILfac, nNCal, nNI, stdev(NI)/NI = 100000000, 100000000, 100000000, 1, 0, 0, 0.00010
Volker@49	57
Volker@49	58
Volker@49	59	Lidar ID: PollyXT Cyprus 210429 532 approx 4
Volker@49	60
Volker@49	61	Correction K(LDRCal in calibration range)
Volker@49	62	LDRCal, K(LDRCal)
Volker@49	63	0.004, 0.96369
Volker@49	64	0.050, 0.96690
Volker@49	65	0.100, 0.97008
Volker@49	66	0.200, 0.97564
Volker@49	67	0.300, 0.98033
Volker@49	68	0.450, 0.98615
Volker@49	69
Volker@49	70	minimum and maximum values of the distributions of possibly measured LDR for different LDRtrue
Volker@49	71	LDRtrue , LDRmin, LDRmax
Volker@49	72	0.0040,-0.0029, 0.0114
Volker@49	73	0.0200, 0.0127, 0.0279
Volker@49	74	0.1000, 0.0906, 0.1102
Volker@49	75	0.3000, 0.2863, 0.3151
Volker@49	76	0.4500, 0.4340, 0.4679
Volker@49	77
Volker@49	78	LDRCal is the volume linear depolarisation ratio in the range used for the polarisation calibration. K(LDRCal) is the variability of K depending on LDRCal.
Volker@49	79	If LDRCal is not known, its uncertainty has to be included in the input file for the error calcualtion below.
Volker@49	80	LDR_min-true(LDR_true) and LDR_max-true(LDR_true) are the difference between the lowest and highest possible retrieved LDR, respectively, and the true LDR depending on the true LDR. They represent the negative and positive uncertainty of the retrieved LDR resulting from all known uncertainties of the optical input parameters.
Volker@49	81	-----------------------------------------------
Volker@49	82	2nd order polyfit = a + (b * LDR) + (c * LDR^2)
Volker@49	83	fit-parameter, K(LDRCal), LDR_min-true(LDRtrue), LDR_max-true(LDRtrue)
Volker@49	84	a, +0.96352, -0.00674, +0.00727
Volker@49	85	b, +0.06904, -0.02805, +0.03080
Volker@49	86	c, -0.04188, +0.01659, -0.01587
Volker@49	87
Volker@49	88	##################################################################################
Volker@49	89	Further statistical analyses of the uncertainties, their distribution and sources:
Volker@49	90
Volker@49	91	LDRtrue , mean , median, max-mean, min-mean, std, excess_kurtosis, skewness
Volker@49	92	0.00400, 0.00404, 0.00402, 0.00739,-0.00685, 0.00431, -1.37505, 0.01060
Volker@49	93	0.02000, 0.02004, 0.02003, 0.00788,-0.00729, 0.00432, -1.35168, 0.01361
Volker@49	94	0.10000, 0.10006, 0.10001, 0.01019,-0.00938, 0.00447, -1.11574, 0.02519
Volker@49	95	0.30000, 0.30013, 0.30010, 0.01508,-0.01366, 0.00523, -0.47128, 0.06082
Volker@49	96	0.45000, 0.45018, 0.45000, 0.01792,-0.01600, 0.00607, -0.34137, 0.12718
Volker@49	97
Volker@49	98	minimum and maximum values of the distributions of signal ratios and calibration factors for different LDRtrue
Volker@49	99	LDRtrue , LDRsim, (max-min)/2, relerr
Volker@49	100	0.00400, 0.04596, 0.01325, 0.28826
Volker@49	101	0.02000, 0.07602, 0.01353, 0.17791
Volker@49	102	0.10000, 0.21319, 0.01478, 0.06935
Volker@49	103	0.30000, 0.48224, 0.01725, 0.03578
Volker@49	104	0.45000, 0.63531, 0.01866, 0.02937
Volker@49	105	LDRtrue , Etax , (max-min)/2, relerr
Volker@49	106	0.00400, 0.97066, 0.03207, 0.03304
Volker@49	107	0.02000, 0.97066, 0.03207, 0.03304
Volker@49	108	0.10000, 0.97066, 0.03207, 0.03304
Volker@49	109	0.30000, 0.97066, 0.03207, 0.03304
Volker@49	110	0.45000, 0.97066, 0.03207, 0.03304
Volker@49	111	LDRtrue , Etapx , (max-min)/2, relerr
Volker@49	112	0.00400, 0.97203, 0.03152, 0.03243
Volker@49	113	0.02000, 0.97203, 0.03152, 0.03243
Volker@49	114	0.10000, 0.97203, 0.03152, 0.03243
Volker@49	115	0.30000, 0.97203, 0.03152, 0.03243
Volker@49	116	0.45000, 0.97203, 0.03152, 0.03243
Volker@49	117	LDRtrue , Etamx , (max-min)/2, relerr
Volker@49	118	0.00400, 0.96930, 0.03303, 0.03408
Volker@49	119	0.02000, 0.96930, 0.03303, 0.03408
Volker@49	120	0.10000, 0.96930, 0.03303, 0.03408
Volker@49	121	0.30000, 0.96930, 0.03303, 0.03408
Volker@49	122	0.45000, 0.96930, 0.03303, 0.03408
Volker@49	123
Volker@49	124	LDRCorr: contribution to the total error (per mill)
Volker@49	125	of individual parameter errors of combined parameter errors
Volker@49	126	at LDRtrue 0.004 0.020 0.100 0.300 0.450 0.004 0.020 0.100 0.300 0.450
Volker@49	127
Volker@49	128	Qin 725 680 519 318 230 21 19 13 4 0
Volker@49	129	RotL 34 32 25 15 12 1 1 1 1 1
Volker@49	130	DiC 15 24 62 133 185 7 8 15 28 37
Volker@49	131	TP 31 49 104 145 138 9 9 7 3 0
Volker@49	132	TS 31 49 104 145 138 9 9 7 3 0
Volker@49	133	RP 141 132 101 62 45 4 4 3 1 0
Volker@49	134	RS 0 0 0 0 0 0 0 0 0 0
Volker@49	135	RotaT 0 0 0 0 0 0 0 0 0 0
Volker@49	136	LDRCal 21 33 84 182 252 10 12 19 34 44
Volker@49	137	Sum 999 999 999 999 1000 61 62 64 74 83
Volker@49	138
Volker@49	139	LDRsim: contribution to the total error (per mill)
Volker@49	140	of individual parameter errors of combined parameter errors
Volker@49	141	at LDRtrue 0.004 0.020 0.100 0.300 0.450 0.004 0.020 0.100 0.300 0.450
Volker@49	142
Volker@49	143	Qin 745 706 550 310 202 15 14 11 6 4
Volker@49	144	RotL 35 33 26 14 9 0 0 0 0 0
Volker@49	145	DiC 0 0 0 0 0 0 0 0 0 0
Volker@49	146	TP 68 108 258 425 465 18 17 13 9 9
Volker@49	147	TS 2 4 30 134 216 1 1 4 8 9
Volker@49	148	RP 148 143 121 88 73 2 2 2 1 1
Volker@49	149	RS 3 5 14 28 34 1 1 1 1 1
Volker@49	150	RotaT 0 0 0 0 0 0 0 0 0 0
Volker@49	151	LDRCal 0 0 0 0 0 0 0 0 0 0
Volker@49	152	Sum 1000 1000 1000 1000 1000 37 35 30 26 25
Volker@49	153
Volker@49	154	EtaX, D90: contribution to the total error (per mill)
Volker@49	155	of individual parameter errors of combined parameter errors
Volker@49	156	at LDRtrue 0.004 0.020 0.100 0.300 0.450 0.004 0.020 0.100 0.300 0.450
Volker@49	157
Volker@49	158	Qin 10 10 10 10 10 3 3 3 3 3
Volker@49	159	RotL 0 0 0 0 0 0 0 0 0 0
Volker@49	160	DiC 136 136 136 136 136 24 24 24 24 24
Volker@49	161	TP 312 312 312 312 312 7 7 7 7 7
Volker@49	162	TS 294 294 294 294 294 13 13 13 13 13
Volker@49	163	RP 32 32 32 32 32 0 0 0 0 0
Volker@49	164	RS 30 30 30 30 30 1 1 1 1 1
Volker@49	165	RotaT 0 0 0 0 0 0 0 0 0 0
Volker@49	166	LDRCal 186 186 186 186 186 29 29 29 29 29
Volker@49	167	Sum 1000 1000 1000 1000 1000 78 78 78 78 78
Volker@49	168
Volker@49	169	Etapx, +45°: contribution to the total error (per mill)
Volker@49	170	of individual parameter errors of combined parameter errors
Volker@49	171	at LDRtrue 0.004 0.020 0.100 0.300 0.450 0.004 0.020 0.100 0.300 0.450
Volker@49	172
Volker@49	173	Qin 9 9 9 9 9 3 3 3 3 3
Volker@49	174	RotL 6 6 6 6 6 3 3 3 3 3
Volker@49	175	DiC 132 132 132 132 132 23 23 23 23 23
Volker@49	176	TP 317 317 317 317 317 7 7 7 7 7
Volker@49	177	TS 300 300 300 300 300 13 13 13 13 13
Volker@49	178	RP 33 33 33 33 33 0 0 0 0 0
Volker@49	179	RS 31 31 31 31 31 1 1 1 1 1
Volker@49	180	RotaT 0 0 0 0 0 0 0 0 0 0
Volker@49	181	LDRCal 172 172 172 172 172 28 28 28 28 28
Volker@49	182	Sum 1000 1000 1000 1000 1000 79 79 79 79 79
Volker@49	183
Volker@49	184	Etamx -45°: contribution to the total error (per mill)
Volker@49	185	of individual parameter errors of combined parameter errors
Volker@49	186	at LDRtrue 0.004 0.020 0.100 0.300 0.450 0.004 0.020 0.100 0.300 0.450
Volker@49	187
Volker@49	188	Qin 10 10 10 10 10 4 4 4 4 4
Volker@49	189	RotL 6 6 6 6 6 4 4 4 4 4
Volker@49	190	DiC 139 139 139 139 139 27 27 27 27 27
Volker@49	191	TP 303 303 303 303 303 7 7 7 7 7
Volker@49	192	TS 284 284 284 284 284 13 13 13 13 13
Volker@49	193	RP 31 31 31 31 31 0 0 0 0 0
Volker@49	194	RS 29 29 29 29 29 1 1 1 1 1
Volker@49	195	RotaT 0 0 0 0 0 0 0 0 0 0
Volker@49	196	LDRCal 197 197 197 197 197 33 33 33 33 33
Volker@49	197	Sum 999 999 999 999 999 89 89 89 89 89