Determination of the solar calibration constant for a sun-sky radiometer: proposal of an in-situ procedure

Monica Campanelli; Teruyuki Nakajima; Bruno Olivieri

doi:10.1364/AO.43.000651

Applied Optics
Vol. 43,
Issue 3,
pp. 651-659
(2004)
•https://doi.org/10.1364/AO.43.000651

Determination of the solar calibration constant for a sun-sky radiometer: proposal of an in-situ procedure

Monica Campanelli, Teruyuki Nakajima, and Bruno Olivieri

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Monica Campanelli, Teruyuki Nakajima, and Bruno Olivieri, "Determination of the solar calibration constant for a sun-sky radiometer: proposal of an in-situ procedure," Appl. Opt. 43, 651-659 (2004)

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Abstract

A new procedure is presented for determining in situ the solar calibration constant, i.e., the Sun-sky radiometer counts for a direct normal solar flux extrapolated to the top of the atmosphere. The method makes use of a modified version of the Langley plot based on the use of an inversion code of column-integrated aerosol size distribution, and it is ordinarily applied to calibrate Prede Sun-sky radiometers. To analyze how such an in situ method can work accurately, the technique has been applied to a five-month dataset obtained from measurements taken in Rome, Italy, by a Prede Sun-sky radiometer from 22 April to 5 November 2001. The precision of the in situ method has been estimated to within 1–2.5%, depending on the wavelength.

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Dependence of F ₀* on k (%)
400 nm	500 nm	870 nm	1020 nm
1.53± 1.25	0.85± 0.74	0.38± 0.27	0.30± 0.21

Dependence of F ₀* on k (%)
λ	400 nm	500 nm	870 nm	1020 nm
τ < 0.1	1.01 ± 0.53	0.61 ± 0.37	0.35 ± 0.21	0.35 ± 0.19
τ ≥ 0.3	4.58 ± 4.32	2.39 ± 2.44	0.93 ± 0.71	0.81 ± 0.56
0.1 ≤ τ < 0.3	1.32 ± 1.00	0.76 ± 0.58	0.33 ± 0.23	0.27 ± 0.23

Skyrad Method	400 nm	500 nm	870 nm	1020 nm
Dependence of F ₀ on m (%)	1.29 ± 0.90	0.80 ± 0.79	0.61 ± 0.83	0.57 ± 0.78
Dependence of F ₀ on k (%)	0.85 ± 0.98	0.35 ± 0.38	0.29 ± 0.45	0.25 ± 0.26
Dependence of ω on k (%)	2.26 ± 1.54	1.24 ± 1.00	1.73 ± 1.71	2.37 ± 1.95

Dependence of F ₀ on k (%)
λ	400 nm	500 nm	870 nm	1020 nm
τ < 0.1	0.48 ± 0.44	0.37 ± 0.36	0.24 ± 0.24	0.27 ± 0.27
τ ≥ 0.3	2.54 ± 2.99	1.6 ± 1.16	0.7 ± 1.12	0.48 ± 0.59
0.1 ≤ τ < 0.3	0.48 ± 0.44	0.37 ± 0.36	0.24 ± 0.24	0.27 ± 0.27

Accuracy of the F ₀ Retrieval (%)
λ	400 nm	500 nm	870 nm	1020 nm
Boi’s method	2.1	1.5	1.2	0.8
Skyrad method	2.5	2.0	1.8	2.0

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Applied Optics