Method to intercalibrate sunphotometer constants using an integrating sphere as a light source in the laboratory

Zhengqiang Li; Philippe Goloub; Luc Blarel; Benyong Yang; Kaitao Li; Thierry Podvin; Donghui Li; Yisong Xie; Xingfeng Chen; Xingfa Gu; Xiaobing Zheng; Jianjun Li; Maxime Catalfamo

doi:10.1364/AO.52.002226

Applied Optics
Vol. 52,
Issue 11,
pp. 2226-2234
(2013)
•https://doi.org/10.1364/AO.52.002226

Method to intercalibrate sunphotometer constants using an integrating sphere as a light source in the laboratory

Zhengqiang Li, Philippe Goloub, Luc Blarel, Benyong Yang, Kaitao Li, Thierry Podvin, Donghui Li, Yisong Xie, Xingfeng Chen, Xingfa Gu, Xiaobing Zheng, Jianjun Li, and Maxime Catalfamo

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Zhengqiang Li, Philippe Goloub, Luc Blarel, Benyong Yang, Kaitao Li, Thierry Podvin, Donghui Li, Yisong Xie, Xingfeng Chen, Xingfa Gu, Xiaobing Zheng, Jianjun Li, and Maxime Catalfamo, "Method to intercalibrate sunphotometer constants using an integrating sphere as a light source in the laboratory," Appl. Opt. 52, 2226-2234 (2013)

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Abstract

A calibration method is introduced to transfer calibration constants from the reference to secondary sunphotometers using a laboratory integrating sphere as a light source, instead of the traditional transferring approach performed at specific calibration sites based on sunlight. The viewing solid angle and spectral response effects of the photometer are taken into account in the transfer, and thus the method can be applied to different types of sunphotometers widely used in the field of atmospheric observation. A laboratory experiment is performed to illustrate this approach for four types of CIMEL CE318 sunphotometers belonging to the aerosol robotic network (AERONET). The laboratory calibration method shows an average difference of 1.4% from the AERONET operational calibration results, while a detailed error analysis suggests that the uncertainty agrees with the estimation and could be further improved. Using this laboratory calibration approach is expected to avoid weather influences and decrease data interruption due to operationally required periodic calibration operations. It also provides a basis for establishing a network including different sunphotometers for worldwide aerosol measurements, based on a single standard calibration reference.

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Inst.	Type	Band Center Wavelength (nm)	Gain-Corrected Viewing Solid Angle $Ω_{c}$ (sr)	FOV(°)	Gain Type
No. 542	NE	340, 380, (440), (500), (675), (870), 936, (1020); 1020i, (1640)	0.05081, 0.04930(10 and 15 December 2010; 16 and 25 May 2012)	1.27, 1.25	new
No. 50	STD	340, 380, (440), (675), (870), 936, (1020)	0.28184(18 April and 02 May 2011;03 May and 29 March 2012)	2.23	old
No. 116	OP	(440), (675), (870), 936, (1020)	0.27771(05 and 12 March 2010; 16 and 25 May 2012)	2.28	old
No. 356	NP	(440), (675), (870), 936, (1020)	0.05113(22 and 28 September 2011; 16 and 12 June 2012)	1.28	new
No. 719	NE	340, 380, (440), (500), (675), (870), 936, (1020); 1020i, (1640)	0.04853, 0.04970(16 May and 13 June 2012)	1.26, 1.27	new

Bands (nm)	$E_{0}$ ( $μW / {cm}^{2} / nm$ ) 10 May 2009	$Ω_{c}$ (sr)	$V_{a}$ (DN) 26 June 2012	$V_{0}$ (DN) 16 June 2012
1020	70.758	0.05081	13,880	17,533
870	95.953	0.05081	17,867	29,533
675	150.895	0.05081	9634	34,882
440	184.316	0.05081	1569	9508
500	192.932	0.05081	2039	26,514
1640	23.216	0.04930	24,418	21,075

Inst.	$σ (E_{0})$ ASTM2000	$σ (E_{0})$ Gueymard	Dif. (%)	$σ (L)$ Sphere	$σ (L)$ Blackbody	Dif. (%)
No. 50	1.000	1.000	0.00	1.002	1.002	0.00
No. 116	1.008	1.008	0.00	1.011	1.010	0.10
No. 356	1.025	1.028	0.29	1.030	1.029	0.10
No. 719	1.030	1.033	0.29	1.031	1.030	0.10

Photometer Band (nm)	$E_{0}$ ( $μW / {cm}^{2} / nm$ )	$σ (L) / σ (E_{0})$	$Ω_{c}$ (sr)	$V_{a}$ (DN)	$V_{0}$ (DN) this Work	$V_{0}$ (DN) AERONET	Dif. (%)
No. 50 (STD)	15 April 2011			26 June 2012	26 June 2012	17 June 2012
1020	70.595	1.0000	0.28184	13,755	21,125	20,916	1.0
870	95.945	0.9970	0.28184	10,483	26,264	26,795	$- 2.0$
675	151.277	1.0010	0.28184	5531	23,359	23,437	$- 0.3$
440	184.242	1.0017	0.28184	766	16,742	17,022	$- 1.6$
No. 116 (OP)	01 January 2000			26 June 2012	26 June 2012	02 June 2012
1020	70.902	1.0002	0.27771	18,001	18,846	18,773	0.4
870	95.433	0.9920	0.27771	16,147	21,939	22,512	$- 2.5$
675	151.276	1.0055	0.27771	9828	24,453	24,829	$- 1.5$
440	182.855	1.0029	0.27771	1192	13,610	13,810	$- 1.4$
No. 356 (NP)	31 January 2008			26 June 2012	26 June 2012	26 August 2012
1020	70.927	1.0003	0.05112	15,932	20,009	19,584	2.2
870	95.603	0.9942	0.05112	20,020	32,700	32,761	$- 0.2$
675	151.515	1.0087	0.05112	9905	17,978	18,045	$- 0.4$
440	179.923	1.0057	0.05112	1767	22,488	22,510	$- 0.1$
No. 719 (NE)	16 March 2012			26 June 2012	26 June 2012	16 May 2012
1020	70.593	0.9992	0.04852	11,701	15,466	15,228	1.6
870	95.452	0.9847	0.04852	18,288	31,170	31,772	$- 1.9$
675	151.072	1.0028	0.04852	8982	17,076	16,815	1.6
440	179.097	1.0020	0.04852	1576	10,016	10,209	$- 1.9$
500	192.550	0.9933	0.04852	2005	27,120	26,543	2.2
1640	23.258	1.0010	0.04970	18,813	16,122	16,369	$- 1.5$

Uncertainties on	This Experiment (%)	Expectation (%)
$σ (L) / σ (E_{0})$	0.5	0.5
$V_{a}$	$0.5 \times 2$	$0.3 \times 2$
$Ω_{c}$	$1.5 \times 2$	$1.0 \times 2$
$V_{0}$ (master)	1.5	0.5
Others	0.5	0.3
Total on ${V^{'}}_{0}$	2.7	1.6

Method to intercalibrate sunphotometer constants using an integrating sphere as a light source in the laboratory

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Applied Optics