Hybrid calibration method of a wide-view-angle Mueller polarimeter for hyper-numerical-aperture imaging systems

Jianhui Li; Yanqiu Li; Ke Liu; Guodong Zhou; Lihui Liu; Meng Zheng

doi:10.3788/COL202018.081202

Chinese Optics Letters, Volume. 18, Issue 8, 081202(2020)

Hybrid calibration method of a wide-view-angle Mueller polarimeter for hyper-numerical-aperture imaging systems

Jianhui Li, Yanqiu Li^*, Ke Liu, Guodong Zhou, Lihui Liu, and Meng Zheng

Key Laboratory of Photoelectronic Imaging Technology and System of Ministry of Education of China, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China

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Fig. 1. Schematic diagram of a wide-view-angle Mueller polarimeter for measuring the Mueller pupil of projection optics.

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Fig. 2. Experimental setup for measuring Mueller pupil of projection optics: 1, laser; 2, reflector; 3, beam expander; 4, uniformizer; 5, PSG; 6, projection optics; 7, focal plane; 8, collimating optics; 9, PSA; 10, CCD; 11, controller.

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Fig. 3. Mueller matrices over two-dimensional distribution of air (a) before calibration and (b) after calibration.

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Fig. 4. Mueller matrix over two-dimensional distribution of a QWP with its fast axis at 30° using the calibrated PSG and PSA. (a) The corresponding polarization parameters. (b) $d$ , diattenuation; $R$ , total retardance; $Δ$ , depolarization coefficient; $δ$ , $θ$ , linear retardance and fast-axis orientation; and $ψ$ , circular retardance.

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Fig. 5. (a) Product of Mueller pupils of projection optics and collimating optics, $M$ ; (b) the Mueller pupil of collimating optics, $M_{c}$ ; (c) the Mueller pupil of projection optics, $M_{p}$ .

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Fig. 6. Comparison of polarization parameters extracted from obtained $M$ , $M_{c}$ , and $M_{p}$ shown in Fig. 5.

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Table 1. Parameter Errors of PSG and PSA
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Table 1. Parameter Errors of PSG and PSA
Errors Mean Value (°)
$ε_{1}$ 1.2034
$ε_{2}$ 0.8425
$ε_{3}$ −0.3839
$ε_{4}$ −1.3407
$ε_{5}$ −1.5470

Table 2. Corresponding Mean Values, RMS, and PV Values of Each Sub-Pupil of $M_{p}$ and $M$ in Fig. 5

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Table 2. Corresponding Mean Values, RMS, and PV Values of Each Sub-Pupil of $M_{p}$ and $M$ in Fig. 5

	$M_{p}$	$M$
Mean	$[\begin{matrix} 1.0000 & 0.0175 & 0.0010 & - 0.0029 \\ 0.0235 & 0.9578 & - 0.1266 & - 0.0005 \\ 0.0128 & 0.1062 & 1.0077 & 0.0607 \\ - 0.0040 & - 0.0189 & - 0.0805 & 0.9770 \end{matrix}]$	$[\begin{matrix} 1.0000 & - 0.0166 & 0.0020 & 0.0035 \\ - 0.0052 & 0.9490 & - 0.0066 & - 0.0092 \\ - 0.0003 & - 0.0024 & 0.9379 & 0.0027 \\ 0.0021 & 0.0013 & - 0.0124 & 0.9222 \end{matrix}]$
RMS	$[\begin{matrix} 0 & 0.0300 & 0.0222 & 0.0078 \\ 0.0342 & 0.0464 & 0.1327 & 0.0515 \\ 0.0404 & 0.1105 & 0.0597 & 0.1098 \\ 0.0150 & 0.0470 & 0.1143 & 0.0373 \end{matrix}]$	$[\begin{matrix} 0 & 0.0225 & 0.0216 & 0.0103 \\ 0.0137 & 0.0507 & 0.0255 & 0.0045 \\ 0.0125 & 0.0198 & 0.0616 & 0.0445 \\ 0.0106 & 0.0390 & 0.0481 & 0.0777 \end{matrix}]$
PV	$[\begin{matrix} 0 & 0.6963 & 1.0862 & 0.1844 \\ 0.9258 & 1.9379 & 2.2826 & 0.4279 \\ 1.0584 & 2.4325 & 3.7350 & 1.3179 \\ 0.4304 & 0.5149 & 1.0690 & 2.7689 \end{matrix}]$	$[\begin{matrix} 0 & 0.1333 & 0.2079 & 0.1530 \\ 0.1314 & 0.6215 & 0.2149 & 0.3578 \\ 0.1462 & 0.2095 & 0.6433 & 0.3139 \\ 0.1431 & 0.2985 & 0.3164 & 0.5632 \end{matrix}]$

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Jianhui Li, Yanqiu Li, Ke Liu, Guodong Zhou, Lihui Liu, Meng Zheng, "Hybrid calibration method of a wide-view-angle Mueller polarimeter for hyper-numerical-aperture imaging systems," Chin. Opt. Lett. 18, 081202 (2020)

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Paper Information

Category: Optical Sensing, Measurements, and Metrology

Received: Apr. 22, 2020

Accepted: Jun. 10, 2020

Posted: Jun. 10, 2020

Published Online: Jul. 10, 2020

The Author Email: Yanqiu Li (liyanqiu@bit.edu.cn)

DOI:10.3788/COL202018.081202

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Parameter Errors of PSG and PSA

Table 1. Parameter Errors of PSG and PSA

Table 2. Corresponding Mean Values, RMS, and PV Values of Each Sub-Pupil of Mp and M in Fig. 5

Table 2. Corresponding Mean Values, RMS, and PV Values of Each Sub-Pupil of Mp and M in Fig. 5

Table 2. Corresponding Mean Values, RMS, and PV Values of Each Sub-Pupil of $M_{p}$ and $M$ in Fig. 5

Table 2. Corresponding Mean Values, RMS, and PV Values of Each Sub-Pupil of $M_{p}$ and $M$ in Fig. 5