Calibration of the degree of linear polarization measurement of polarized radiometer using solar light

Zhengqiang Li; Luc Blarel; Thierry Podvin; Philippe Goloub; Ligang Chen

doi:10.1364/AO.49.001249

Applied Optics
Vol. 49,
Issue 8,
pp. 1249-1256
(2010)
•https://doi.org/10.1364/AO.49.001249

Calibration of the degree of linear polarization measurement of polarized radiometer using solar light

Zhengqiang Li, Luc Blarel, Thierry Podvin, Philippe Goloub, and Ligang Chen

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Zhengqiang Li, Luc Blarel, Thierry Podvin, Philippe Goloub, and Ligang Chen, "Calibration of the degree of linear polarization measurement of polarized radiometer using solar light," Appl. Opt. 49, 1249-1256 (2010)

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Abstract

We establish a polarimetric reference for the degree of linear polarization (DOLP) measurement calibration, based on direct and reflected solar light, with a theoretical error of about 0.0012. This calibration source can be used to calibrate polarized radiometers instead of complex laboratory devices and can respond from UV to near infrared wavelengths. A two-step method for calibrating the DOLP measurement is proposed and applied to a ground-based polarized radiometer. The first step is correcting the transmittance difference between polarizer units using the direct solar beam, while the second step corrects possible bias in DOLP measurement using the reflected solar light as a reference. Based on instrument characterization, calibration results obtained with the new polarized sun-sky radiometer, CE-318-DP, are discussed and compared with laboratory results.

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Parameter	Model	Model Error	Uncertainty Sources	Propagated Uncertainty	Total Uncertainty	Major Contributor
$n_{air}$	Eq. (2)	$2 \times 10^{- 6}$	$Δ p$ , $Δ T$ , $Δ λ$	$1.3 \times 10^{- 6}$	$3.3 \times 10^{- 6}$	The model
$n_{water}$	Eqs. (3, 4)	$1 \times 10^{- 3}$	$Δ T$ , $Δ λ$	0.0004	0.0014	The model
n	$n = n_{air} / n_{water}$	—	$Δ n_{air}$ , $Δ n_{water}$	0.0008	0.0008	$Δ n_{water}$
$θ_{0} (°)$	SOLPOS	$0.01 °$	$Δ time$ , $Δ geo$	$0.003 °$	$0.013 °$	The model
P	Eq. (1)	—	$Δ n$ , $Δ θ_{0}$	0.0012	0.0012	$Δ n_{water}$ and $Δ θ_{0}$

λ (nm)	POLBOX (28 February 2008)		POLBOX (13 June 2008)		Lab Method (Average of Two POLBOX)	Solar Light Method (10 June 2008)		Comparison $\| η_{sun} - η_{lab} \|$
λ (nm)	η	$\| Δ P_{max} \|$	η	$\| Δ P_{max} \|$	$η_{lab}$	$η_{sun}$	$\| Δ P_{max} \|$	Comparison $\| η_{sun} - η_{lab} \|$
1020	1.006	0.003	1.006	0.003	1.006	1.005	0.003	0.001
1640	0.994	0.002	0.993	0.002	0.994	0.993	0.003	0.001
870	1.114	0.002	1.128	0.002	1.121	1.095	0.003	0.026
675	1.044	0.003	1.045	0.002	1.044	1.020	0.003	0.024
440	0.926	0.008	0.923	0.008	0.924	1.008	0.004	0.083
500	0.999	0.003	0.999	0.004	0.999	1.006	0.004	0.007
380	—	—	—	—	—	1.095	0.003	—
340	—	—	—	—	—	1.009	0.002	—

Parameter	Model	Model Error	Uncertainty Sources	Propagated Uncertainty	Total Uncertainty	Major Contributor
$n_{air}$	Eq. (2)	$2 \times 10^{- 6}$	$Δ p$ , $Δ T$ , $Δ λ$	$1.3 \times 10^{- 6}$	$3.3 \times 10^{- 6}$	The model
$n_{water}$	Eqs. (3, 4)	$1 \times 10^{- 3}$	$Δ T$ , $Δ λ$	0.0004	0.0014	The model
n	$n = n_{air} / n_{water}$	—	$Δ n_{air}$ , $Δ n_{water}$	0.0008	0.0008	$Δ n_{water}$
$θ_{0} (°)$	SOLPOS	$0.01 °$	$Δ time$ , $Δ geo$	$0.003 °$	$0.013 °$	The model
P	Eq. (1)	—	$Δ n$ , $Δ θ_{0}$	0.0012	0.0012	$Δ n_{water}$ and $Δ θ_{0}$

λ (nm)	POLBOX (28 February 2008)		POLBOX (13 June 2008)		Lab Method (Average of Two POLBOX)	Solar Light Method (10 June 2008)		Comparison $\| η_{sun} - η_{lab} \|$
λ (nm)	η	$\| Δ P_{max} \|$	η	$\| Δ P_{max} \|$	$η_{lab}$	$η_{sun}$	$\| Δ P_{max} \|$	Comparison $\| η_{sun} - η_{lab} \|$
1020	1.006	0.003	1.006	0.003	1.006	1.005	0.003	0.001
1640	0.994	0.002	0.993	0.002	0.994	0.993	0.003	0.001
870	1.114	0.002	1.128	0.002	1.121	1.095	0.003	0.026
675	1.044	0.003	1.045	0.002	1.044	1.020	0.003	0.024
440	0.926	0.008	0.923	0.008	0.924	1.008	0.004	0.083
500	0.999	0.003	0.999	0.004	0.999	1.006	0.004	0.007
380	—	—	—	—	—	1.095	0.003	—
340	—	—	—	—	—	1.009	0.002	—

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Applied Optics