Analysis of Polarization Characteristics of Targets Based on Mueller Matrix

Fig. 4. Elements of normalized Mueller matrix of aluminum plate varying with incident angle. (a) m₀₁; (b) m₀₂; (c) m₀₃; (d) m₁₀; (e) m₁₁; (f) m₁₂; (g) m₁₃; (h) m₂₀; (i) m₂₁; (j) m₂₂; (k) m₂₃; (l) m₃₀; (m) m₃₁; (n) m₃₂; (o) m₃₃

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Fig. 5. Polarization characteristics of Mueller matrix under different incident angles and roughness of aluminum plates. (a) $P_{M}$ ; (b) $P_{P}$ ; (c) $P_{D}$ ; (d) $P_{m}$ ; (e) $P_{Δ}$

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Table 1. Mueller matrix and related polarization characteristics of typical targets

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Table 1. Mueller matrix and related polarization characteristics of typical targets

Target	Mueller matrix M	$P_{M}$	$P_{P}$	$P_{D}$	$P_{m}$	$P_{Δ}$
Dielectric	$[\begin{matrix} 1.0000 & 0.0077 & 0.0247 & 0.0108 \\ 0.0006 & 1.0023 & 0.0207 & 0.0196 \\ - 0.0259 & 0.0259 & - 1.0014 & 0.0151 \\ - 0.0115 & 0.0229 & - 0.0159 & - 0.9857 \end{matrix}]$	0.9972	0.0283	0.0280	2.9815	1.4119
Polished steel	$[\begin{matrix} 1.0000 & - 0.0024 & 0.0154 & - 0.0055 \\ - 0.0034 & 0.9445 & 0.0207 & 0.0082 \\ - 0.0208 & 0.0260 & - 0.9454 & 0.0204 \\ 0.0061 & 0.0080 & - 0.0228 & - 0.8879 \end{matrix}]$	0.9269	0.0219	0.0165	2.5764	1.3633
Rusty steel	$[\begin{matrix} 1.0000 & 0.0170 & 0.0203 & 0.0061 \\ - 0.0199 & 0.6348 & 0.0092 & 0.0031 \\ - 0.0076 & 0.0140 & - 0.6112 & 0.0038 \\ - 0.0057 & - 0.0002 & - 0.0058 & - 0.4220 \end{matrix}]$	0.5646	0.0221	0.0272	0.9550	1.1481
Camouflage coating	$[\begin{matrix} 1.0000 & 0.7851 & - 0.0701 & 0.0045 \\ 0.8049 & 0.8942 & - 0.0723 & - 0.0077 \\ - 0.0258 & - 0.0054 & 0.3779 & 0.0562 \\ - 0.0704 & - 0.0863 & - 0.0464 & 0.3806 \end{matrix}]$	0.8907	0.8084	0.7882	1.1053	1.0752
Camouflage fabric	$[\begin{matrix} 1.0000 & 0.1968 & 0.0138 & - 0.0573 \\ 0.3293 & 0.9115 & - 0.0003 & 0.0289 \\ 0.0868 & 0.0862 & 0.3590 & 0.0220 \\ 0.0597 & 0.0289 & - 0.0137 & 0.4159 \end{matrix}]$	0.6593	0.3457	0.2054	1.1425	1.1636
Glass	$[\begin{matrix} 1.0000 & - 0.0182 & 0.0018 & - 0.0012 \\ - 0.0188 & 0.0195 & - 0.0017 & 0.0012 \\ - 0.0002 & - 0.0004 & - 0.0055 & 0.0002 \\ - 0.0016 & 0.0009 & - 0.0001 & - 0.0058 \end{matrix}]$	0.0195	0.0189	0.0183	0.0005	1.000
Leaf	$[\begin{matrix} 1.0000 & 0.0227 & - 0.0031 & - 0.0028 \\ 0.0077 & 0.2066 & - 0.0038 & - 0.0096 \\ 0.0009 & - 0.0121 & - 0.2225 & - 0.0024 \\ 0.0035 & 0.0118 & - 0.0082 & - 0.1306 \end{matrix}]$	0.1918	0.0085	0.0231	0.1097	1.0181
Sand	$[\begin{matrix} 1.0000 & - 0.0019 & - 0.0089 & 0.0008 \\ 0.0001 & 0.0728 & - 0.0021 & 0.0028 \\ 0.0025 & - 0.0073 & - 0.0709 & - 0.0029 \\ - 0.0004 & - 0.0011 & - 0.0020 & - 0.0554 \end{matrix}]$	0.0672	0.0025	0.0091	0.0135	1.0022
Soil	$[\begin{matrix} 1.0000 & 0.1212 & 0.0158 & - 0.0088 \\ 0.0933 & 0.2353 & 0.0011 & - 0.0092 \\ - 0.0146 & 0.0022 & 0.0823 & 0.0915 \\ - 0.0146 & - 0.0226 & - 0.0949 & 0.0660 \end{matrix}]$	0.1903	0.0956	0.1225	0.0845	1.0120

Table 2. Influence factors of roughness on polarization characteristics of aluminum plate

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Table 2. Influence factors of roughness on polarization characteristics of aluminum plate

Influence factor	$P_{M}$	$P_{P}$	$P_{D}$	$P_{m}$	$P_{Δ}$
Mean	1.0082	0.3313	0.2555	4.7348	0.6029
$σ_{1} = 0.12 μ m, σ_{2} = 0.54 μ m$	1.5302	0.4330	0.4524	7.3790	0.9293
$σ_{1} = 0.54 μ m, σ_{2} = 1.25 μ m$	0.5684	0.2457	0.0897	2.5073	0.3279
$σ_{1} = 0.12 μ m, σ_{2} = 1.25 μ m$	0.9259	0.3153	0.2245	4.3180	0.5515

Table 3. Mean square error of polarization characteristics of aluminum plates
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Table 3. Mean square error of polarization characteristics of aluminum plates
Stability /10^-2 $P_{M}$ $P_{P}$ $P_{D}$ $P_{m}$ $P_{Δ}$
$σ = 0.12$ $μ m$ 0.0730 0.1075 0.0229 1.8476 0.0278
$σ = 0.54$ $μ m$ 0.2275 0.0200 0.0079 4.9945 0.0860
$σ = 1.25$ $μ m$ 0.3319 0.0402 0.0492 6.4974 0.1211

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Zhiyong Yang, Zhiwei Zhang, Wei Cai, Shun Li. Analysis of Polarization Characteristics of Targets Based on Mueller Matrix[J]. Acta Optica Sinica, 2023, 43(1): 0112005

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Apr. 20, 2022

Accepted: Jul. 6, 2022

Published Online: Jan. 6, 2023

The Author Email: Zhang Zhiwei (1084665868@qq.com)

DOI:10.3788/AOS221004

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Mueller matrix and related polarization characteristics of typical targets

Table 1. Mueller matrix and related polarization characteristics of typical targets

Table 2. Influence factors of roughness on polarization characteristics of aluminum plate

Table 2. Influence factors of roughness on polarization characteristics of aluminum plate

Table 3. Mean square error of polarization characteristics of aluminum plates

Table 3. Mean square error of polarization characteristics of aluminum plates