Reduction of the effects of angle errors for a channeled spectropolarimeter

Xueping Ju; Bin Yang; Junqiang Zhang; Changxiang Yan

doi:10.1364/AO.56.009156

Applied Optics
Vol. 56,
Issue 33,
pp. 9156-9164
(2017)
•https://doi.org/10.1364/AO.56.009156

Reduction of the effects of angle errors for a channeled spectropolarimeter

Xueping Ju, Bin Yang, Junqiang Zhang, and Changxiang Yan

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Xueping Ju, Bin Yang, Junqiang Zhang, and Changxiang Yan, "Reduction of the effects of angle errors for a channeled spectropolarimeter," Appl. Opt. 56, 9156-9164 (2017)

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Table of Contents Category
- Instrumentation, Measurement, and Metrology
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About this Article
History
- Original Manuscript: August 31, 2017
- Revised Manuscript: October 15, 2017
- Manuscript Accepted: October 15, 2017
- Published: November 13, 2017

Abstract

Angle errors of high-order retarders will decrease the accuracy of a channeled spectropolarimeter. This paper presents an easily implemented and widely applicable method for reducing the effects of the angle errors. First, we theoretically derive a modified reconstruction model to express and analyze the effects of the angle errors. Based on the modified reconstruction model and current reference beam calibration technique, we put forward the modified reference beam calibration technique to reduce the effects of the angle errors. This method can calculate the angle errors by employing the amplitude terms, which have been ignored in the results of the current reference beam calibration. The effectiveness of the presented method is verified by numerical simulations, which show that the demodulated deviations of polarization parameters have been reduced by one order of magnitude. Experiments are further implemented to validate the proposed method. The convenience and wide applicability of the presented method make it suitable for regular correction of the instrument, especially for the case on track.

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Corrections

29 January 2018: A correction was made to the affiliation section.

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Assigned Uncertainty of DoP	Angle Error Requirement
0.001 (20%)	$< 0.07 \deg$
0.002 (40%)	$< 0.12 \deg$
0.003 (60%)	$< 0.17 \deg$
0.004 (80%)	$< 0.22 \deg$
0.005 (100%)	$< 0.27 \deg$

Parameter	Maximum Calculated Error	Average Calculated Error
$ϵ_{1}$	−0.0127°	−0.0092°
$ϵ_{2}$	0.0117°	0.0064°

Deviation Type	Demodulation Method	$S_{1} / S_{0}$	$S_{2} / S_{0}$	DoP
Maximum deviation	Traditional method	$6.88 \times 10^{- 3}$	$7.04 \times 10^{- 3}$	$9.33 \times 10^{- 3}$
Maximum deviation	Presented method	$7.23 \times 10^{- 4}$	$- 7.08 \times 10^{- 4}$	$7.17 \times 10^{- 4}$
Average deviation	Traditional method	$6.28 \times 10^{- 3}$	$6.49 \times 10^{- 3}$	$8.77 \times 10^{- 3}$
Average deviation	Presented method	$1.20 \times 10^{- 4}$	$1.11 \times 10^{- 4}$	$1.56 \times 10^{- 4}$

Deviation Type	Demodulation Method	$S_{1} / S_{0}$	$S_{2} / S_{0}$	DoP
Maximum deviation	Traditional method	$6.98 \times 10^{- 3}$	$1.03 \times 10^{- 2}$	$1.16 \times 10^{- 2}$
Maximum deviation	Presented method	$2.10 \times 10^{- 3}$	$5.28 \times 10^{- 3}$	$4.84 \times 10^{- 3}$
Average deviation	Traditional method	$5.61 \times 10^{- 3}$	$7.57 \times 10^{- 3}$	$9.36 \times 10^{- 3}$
Average deviation	Presented method	$7.22 \times 10^{- 4}$	$2.58 \times 10^{- 3}$	$2.59 \times 10^{- 3}$

Assigned Uncertainty of DoP	Angle Error Requirement
0.001 (20%)	$< 0.07 \deg$
0.002 (40%)	$< 0.12 \deg$
0.003 (60%)	$< 0.17 \deg$
0.004 (80%)	$< 0.22 \deg$
0.005 (100%)	$< 0.27 \deg$

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Applied Optics