Look-up table approach for uncertainty determination for operational vicarious calibration of Earth imaging sensors

Brian N. Wenny; Kurtis Thome

doi:10.1364/AO.442170

Applied Optics
Vol. 61,
Issue 6,
pp. 1357-1368
(2022)
•https://doi.org/10.1364/AO.442170

Look-up table approach for uncertainty determination for operational vicarious calibration of Earth imaging sensors

Brian N. Wenny and Kurtis Thome

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Brian N. Wenny and Kurtis Thome, "Look-up table approach for uncertainty determination for operational vicarious calibration of Earth imaging sensors," Appl. Opt. 61, 1357-1368 (2022)

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Table of Contents Category
- Atmospheric and Oceanic Optics
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About this Article
History
- Original Manuscript: September 1, 2021
- Revised Manuscript: January 24, 2022
- Manuscript Accepted: January 26, 2022
- Published: February 11, 2022

Abstract

Understanding the uncertainty of a vicarious calibration is essential for any application to Earth imaging sensors. The Radiometric Calibration Network provides SI-traceable spectral top-of-atmosphere (TOA) reflectance from a network of ground sites and uses a look-up table (LUT) approach for uncertainty determination. The uncertainty LUT was derived using Monte Carlo techniques applied to the relevant solar geometry, surface, and atmospheric variables. While surface reflectance is typically the dominant uncertainty source, atmospheric contributions do play an important role, depending upon the exact scenario and conditions. This approach allows knowledge of TOA reflectance uncertainty to within 0.5%.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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		RVUS	LCFR	GONA	BTCN	BSCN
		2013–2020	2015–2020	2017–2020	2016–2020	2017–2020
	N	14472	10110	10326	2826	1245
Zenith	$µ$ ( $σ$ )	41.64 (15.01)	46.11 (15.91)	37.11 (14.71)	44.66 (15.99)	42.29 (12.46)
Zenith	Min/max	15.36/77.87	20.28/81.64	0.23/64.53	17.63/82.10	17.68/77.36
AOD	$µ$ ( $σ$ )	0.055 (0.03)	0.11 (0.12)	0.081 (0.08)	0.152 (0.07)	0.16 (0.07)
AOD	Min/max	0.004/0.16	0.008/2.38	0.002/1.92	0.004/0.30	0.011/0.33
Angstrom	$µ$ ( $σ$ )	0.93 (0.43)	1.03 (0.39)	0.85 (0.50)	0.84 (0.39)	0.90 (0.36)
Angstrom	Min/max	0.001/3.78	$- 0.087 / 2 . 20$	$- 0.065 / 3 . 34$	$- 0.97 / 1 . 72$	$- 0.31 / 1 . 72$
Ozone (DU)	$µ$ ( $σ$ )	299 (28.55)	318 (31.7)	286 (21)	280	280
Ozone (DU)	Min/max	223/448	239/467	221/347
WV (g/cm)	$µ$ ( $σ$ )	0.79 (0.41)	2.36 (1.53)	1.24 (1.11)	0.67 (0.50)	0.83 (0.51)
WV (g/cm)	Min/max	0.11/2.65	0.07/10.3	0.0/9.6	0.06/3.11	0.07/2.15

Zenith Angle	Angstrom (0.3)	AOD (0.02)	O3 (DU) (11)	BOA (4%)	H2O (g/cm)	Altitude (km) (0.1)
10.0	0.50	0.05	280	0.05	1.0	0.500
15.0	0.75	0.09	300	0.10		1.435
20.0	1.00	0.13	320	0.15
25.0	1.25	0.17		0.20
30.0	1.5	0.21		0.25
35.0	1.75	0.25		0.30
40.0		0.40		0.35
45.0				0.40
48.9				0.45
52.6				0.50
56.2
59.5
62.8
66.0
69.1
72.1

		RVUS	LCFR	GONA	BTCN	BSCN
Zenith	$< 10$	0%	0%	5.1%	0%	0%
Zenith	$> 72.1$	1.7%	5.5%	0%	3.1%	0.7%
AOD	$< 0.05$	54%	31%	38%	4.8%	2.7%
AOD	$> 0.4$	0%	2.4%	1.2%	0%	0%
Angstrom	$< 0.5$	17%	11%	30%	23%	16%
Angstrom	$> 1.75$	2.5%	2.1%	5.1%	0%	0%
Ozone	$< 280$	27%	8.1%	34%	–	–
Ozone	$> 320$	19%	40%	1.2%	–	–
BOA	$< 0.05$	0.9%	91%	0%	0%	46%
BOA	$> 0.5$	3.4%	0%	1.4%	0%	0%

		RVUS	LCFR	GONA	BTCN	BSCN
		2013–2020	2015–2020	2017–2020	2016–2020	2017–2020
	N	14472	10110	10326	2826	1245
Zenith	$µ$ ( $σ$ )	41.64 (15.01)	46.11 (15.91)	37.11 (14.71)	44.66 (15.99)	42.29 (12.46)
Zenith	Min/max	15.36/77.87	20.28/81.64	0.23/64.53	17.63/82.10	17.68/77.36
AOD	$µ$ ( $σ$ )	0.055 (0.03)	0.11 (0.12)	0.081 (0.08)	0.152 (0.07)	0.16 (0.07)
AOD	Min/max	0.004/0.16	0.008/2.38	0.002/1.92	0.004/0.30	0.011/0.33
Angstrom	$µ$ ( $σ$ )	0.93 (0.43)	1.03 (0.39)	0.85 (0.50)	0.84 (0.39)	0.90 (0.36)
Angstrom	Min/max	0.001/3.78	$- 0.087 / 2 . 20$	$- 0.065 / 3 . 34$	$- 0.97 / 1 . 72$	$- 0.31 / 1 . 72$
Ozone (DU)	$µ$ ( $σ$ )	299 (28.55)	318 (31.7)	286 (21)	280	280
Ozone (DU)	Min/max	223/448	239/467	221/347
WV (g/cm)	$µ$ ( $σ$ )	0.79 (0.41)	2.36 (1.53)	1.24 (1.11)	0.67 (0.50)	0.83 (0.51)
WV (g/cm)	Min/max	0.11/2.65	0.07/10.3	0.0/9.6	0.06/3.11	0.07/2.15

Zenith Angle	Angstrom (0.3)	AOD (0.02)	O3 (DU) (11)	BOA (4%)	H2O (g/cm)	Altitude (km) (0.1)
10.0	0.50	0.05	280	0.05	1.0	0.500
15.0	0.75	0.09	300	0.10		1.435
20.0	1.00	0.13	320	0.15
25.0	1.25	0.17		0.20
30.0	1.5	0.21		0.25
35.0	1.75	0.25		0.30
40.0		0.40		0.35
45.0				0.40
48.9				0.45
52.6				0.50
56.2
59.5
62.8
66.0
69.1
72.1

Abstract

Data Availability

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Figures (11)

Tables (3)

Applied Optics