Robust full Stokes imaging polarimeter with dynamic calibration

Shuhei Shibata; Nathan Hagen; Yukitoshi Otani

doi:10.1364/OL.44.000891

Optics Letters
Vol. 44,
Issue 4,
pp. 891-894
(2019)
•https://doi.org/10.1364/OL.44.000891

Robust full Stokes imaging polarimeter with dynamic calibration

Shuhei Shibata, Nathan Hagen, and Yukitoshi Otani

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Shuhei Shibata, Nathan Hagen, and Yukitoshi Otani, "Robust full Stokes imaging polarimeter with dynamic calibration," Opt. Lett. 44, 891-894 (2019)

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- Optical Sensors, Measurements, and Metrology
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About this Article
History
- Original Manuscript: November 5, 2018
- Revised Manuscript: January 10, 2019
- Manuscript Accepted: January 11, 2019
- Published: February 7, 2019

Abstract

We present a full Stokes imaging polarimeter using a rotating retarder in combination with a polarization camera—a detector array on which a pixelated polarizer array is attached. By itself, a polarization camera cannot capture the full Stokes parameters, but we add a rotating retarder in front and show how it can be used to provide full Stokes images. In addition, we demonstrate the advantage that it can be recalibrated dynamically while taking measurements, allowing accurate measurements even in environments where the retardance in changing.

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Supplementary Material (1)

Name	Description
Visualization 1	The movie shows the polarization change due to time-varying stress-induced birefringence.

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Equations (42)

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Methods	Retardance [°]
Methods	Mean	Repeatability Standard Deviation
AxoScan	136.6	$\pm 0.06$
Two-shot	135.3	$\pm 0.34$
Three-shot	136.7	$\pm 0.24$

Polarization State	Stokes Parameters
Polarization State	Theoretical Value	Two-Shot	Three-Shot
Horizontal linear polarization	$[\begin{matrix} 1 \\ 1 \\ 0 \\ 0 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.99 \pm 0.007 \\ 0.01 \pm 0.008 \\ 0.00 \pm 0.005 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.99 \pm 0.007 \\ 0.01 \pm 0.008 \\ 0.00 \pm 0.005 \end{matrix}]$
−45° linear polarization	$[\begin{matrix} 1 \\ 0 \\ - 1 \\ 0 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.01 \pm 0.001 \\ - 0.99 \pm 0.008 \\ 0.01 \pm 0.007 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.00 \pm 0.001 \\ - 0.99 \pm 0.007 \\ 0.00 \pm 0.008 \end{matrix}]$
Right circular polarization	$[\begin{matrix} 1 \\ 0 \\ 0 \\ 1 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.00 \pm 0.007 \\ 0.01 \pm 0.002 \\ 0.99 \pm 0.006 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.00 \pm 0.007 \\ - 0.01 \pm 0.007 \\ 0.99 \pm 0.004 \end{matrix}]$

Room Temperature [°C]		20	25	30
Two-shot	Fixed retardance [°]	135.3
Two-shot	Stokes parameters	$[\begin{matrix} 1 \\ - 0.06 \\ 0.04 \\ 0.96 \end{matrix}]$	$[\begin{matrix} 1 \\ - 0.03 \\ 0.04 \\ 0.99 \end{matrix}]$	$[\begin{matrix} 1 \\ - 0.08 \\ 0.03 \\ 0.93 \end{matrix}]$
Three-shot	Retardance [°]	137.2	135.7	132.1
Three-shot	Stokes parameters	$[\begin{matrix} 1 \\ 0.02 \\ 0.05 \\ 1.01 \end{matrix}]$	$[\begin{matrix} 1 \\ - 0.01 \\ 0.03 \\ 0.99 \end{matrix}]$	$[\begin{matrix} 1 \\ - 0.02 \\ 0.01 \\ 1.02 \end{matrix}]$

Methods	Retardance [°]
Methods	Mean	Repeatability Standard Deviation
AxoScan	136.6	$\pm 0.06$
Two-shot	135.3	$\pm 0.34$
Three-shot	136.7	$\pm 0.24$

Polarization State	Stokes Parameters
Polarization State	Theoretical Value	Two-Shot	Three-Shot
Horizontal linear polarization	$[\begin{matrix} 1 \\ 1 \\ 0 \\ 0 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.99 \pm 0.007 \\ 0.01 \pm 0.008 \\ 0.00 \pm 0.005 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.99 \pm 0.007 \\ 0.01 \pm 0.008 \\ 0.00 \pm 0.005 \end{matrix}]$
−45° linear polarization	$[\begin{matrix} 1 \\ 0 \\ - 1 \\ 0 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.01 \pm 0.001 \\ - 0.99 \pm 0.008 \\ 0.01 \pm 0.007 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.00 \pm 0.001 \\ - 0.99 \pm 0.007 \\ 0.00 \pm 0.008 \end{matrix}]$
Right circular polarization	$[\begin{matrix} 1 \\ 0 \\ 0 \\ 1 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.00 \pm 0.007 \\ 0.01 \pm 0.002 \\ 0.99 \pm 0.006 \end{matrix}]$	$[\begin{matrix} 1 \\ 0.00 \pm 0.007 \\ - 0.01 \pm 0.007 \\ 0.99 \pm 0.004 \end{matrix}]$

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