• Acta Physica Sinica
  • Vol. 68, Issue 2, 024203-1 (2019)
Yu-Long Yin1、2、3、*, Xiao-Bing Sun1、3、*, Mao-Xin Song1、3, Wei Chen1、2、3, and Fei-Nan Chen1、3
Author Affiliations
  • 1Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, China
  • 2University of Science and Technology of China, Hefei 230026, China
  • 3Key Laboratory of Optical Calibration and Characterization, Chinese Academy of Sciences, Hefei 230031, China
  • show less
    DOI: 10.7498/aps.68.20181553 Cite this Article
    Yu-Long Yin, Xiao-Bing Sun, Mao-Xin Song, Wei Chen, Fei-Nan Chen. Phase delay error analysis of wave plate of division-of-amplitude full Stokes simultaneous polarization imaging system[J]. Acta Physica Sinica, 2019, 68(2): 024203-1 Copy Citation Text show less
    Scheme of the division-of-amplitude full Stokes simultaneous polarization imaging system.分振幅型全Stokes同时偏振成像系统原理图
    Fig. 1. Scheme of the division-of-amplitude full Stokes simultaneous polarization imaging system.分振幅型全Stokes同时偏振成像系统原理图
    Errors of Stokes parameters of different incident light: (a) Unpolarized light; (b) 0° liner polarized light; (c) 90° liner polarized light; (d) 45° liner polarized light; (e) 135° liner polarized light; (f) right circularly polarized light; (g) left circularly polarized light.不同入射光情况下的Stokes参数测量误差 (a) 自然光; (b) 0° 线偏光; (c) 90° 线偏光; (d) 45° 线偏光; (e) 135° 线偏光; (f) 右旋圆偏光; (g) 左旋圆偏光
    Fig. 2. Errors of Stokes parameters of different incident light: (a) Unpolarized light; (b) 0° liner polarized light; (c) 90° liner polarized light; (d) 45° liner polarized light; (e) 135° liner polarized light; (f) right circularly polarized light; (g) left circularly polarized light.不同入射光情况下的Stokes参数测量误差 (a) 自然光; (b) 0° 线偏光; (c) 90° 线偏光; (d) 45° 线偏光; (e) 135° 线偏光; (f) 右旋圆偏光; (g) 左旋圆偏光
    (a) 3D distribution and (b) stokes parameters values of 1000 Stokes vectors different degrees of polarization selected on the Poincaré sphere.邦加球球面上选取1000个不同偏振态的Stokes矢量的 (a) 三维分布和(b) Stokes参数的数值分布
    Fig. 3. (a) 3D distribution and (b) stokes parameters values of 1000 Stokes vectors different degrees of polarization selected on the Poincaré sphere.邦加球球面上选取1000个不同偏振态的Stokes矢量的 (a) 三维分布和(b) Stokes参数的数值分布
    The measurement errors of Stokes parameters of 1000 incident light sampling points selected on the Poincaré sphere is simulated: (a) There is only 1° phase delay error of HWP; (b) there is only 1° phase delay error of QWP in the system.1000个邦加球球面上的入射光采样点的Stokes参数测量误差 (a) 仅存在1°的 HWP相位延迟误差; (b) 仅存在1°的QWP相位延迟误差
    Fig. 4. The measurement errors of Stokes parameters of 1000 incident light sampling points selected on the Poincaré sphere is simulated: (a) There is only 1° phase delay error of HWP; (b) there is only 1° phase delay error of QWP in the system.1000个邦加球球面上的入射光采样点的Stokes参数测量误差 (a) 仅存在1°的 HWP相位延迟误差; (b) 仅存在1°的QWP相位延迟误差
    When the sampling points with different degrees of polarization are used as incident light, the effect of measurement accuracy: (a) The phase delay error of the HWP; (b) the phase delay error of the QWP; (c) the phase delay errors of the HWP and the QWP on polarization.不同偏振度的采样点作为入射光时对偏振测量精度的影响 (a) 仅HWP相位延迟误差; (b) 仅QWP相位延迟误差; (c) HWP和QWP相位延迟耦合误差
    Fig. 5. When the sampling points with different degrees of polarization are used as incident light, the effect of measurement accuracy: (a) The phase delay error of the HWP; (b) the phase delay error of the QWP; (c) the phase delay errors of the HWP and the QWP on polarization.不同偏振度的采样点作为入射光时对偏振测量精度的影响 (a) 仅HWP相位延迟误差; (b) 仅QWP相位延迟误差; (c) HWP和QWP相位延迟耦合误差
    The measurement errors of DOP of 1000 incident light sampling points selected on the Poincaré sphere is simulated: (a) There is only 1° phase delay error of HWP; (b) there is only 1° phase delay error of QWP in the system.1000个邦加球球面上的入射光采样点的偏振度测量误差 (a) 仅存在1°的HWP相位延迟误差; (b) 仅存在1°的QWP相位延迟误差
    Fig. 6. The measurement errors of DOP of 1000 incident light sampling points selected on the Poincaré sphere is simulated: (a) There is only 1° phase delay error of HWP; (b) there is only 1° phase delay error of QWP in the system.1000个邦加球球面上的入射光采样点的偏振度测量误差 (a) 仅存在1°的HWP相位延迟误差; (b) 仅存在1°的QWP相位延迟误差
    Variation relation of measure accuracy of DOP with the phase delay error of HWP and the phase delay error of QWP under the condition of = 1.0, 0.8, 0.5, 0.2 and 0.1.入射光的偏振度分别为1.0, 0.8, 0.5, 0.2和0.1时, 偏振度测量精度随HWP相位延迟误差和QWP相位延迟误差的变化关系
    Fig. 7. Variation relation of measure accuracy of DOP with the phase delay error of HWP and the phase delay error of QWP under the condition of = 1.0, 0.8, 0.5, 0.2 and 0.1. 入射光的偏振度 分别为1.0, 0.8, 0.5, 0.2和0.1时, 偏振度测量精度 随HWP相位延迟误差 和QWP相位延迟误差 的变化关系
    Experimental optical path of wave plate phase delay error analysis.波片相位延迟误差分析实验光路
    Fig. 8. Experimental optical path of wave plate phase delay error analysis.波片相位延迟误差分析实验光路
    Measurement results: (a) component; (b) component; (c) component; (d) component; (e) DOP of the incident light under the condition of = −0.26° and = −0.13°.实验中HWP相位延迟误差= −0.26°和QWP相位延迟误差 = −0.13°时的测量结果 入射光 (a) 分量; (b) 分量; (c) 分量; (d) 分量; (e) 偏振度
    Fig. 9. Measurement results: (a) component; (b) component; (c) component; (d) component; (e) DOP of the incident light under the condition of = −0.26° and = −0.13°. 实验中HWP相位延迟误差 = −0.26°和QWP相位延迟误差 = −0.13°时的测量结果 入射光 (a) 分量; (b) 分量; (c) 分量; (d) 分量; (e) 偏振度
    参数名称参数值
    1/2波片相位延迟量 (Retardance of HWP) 180°
    1/4波片相位延迟量 (Retardance of QWP) 90°
    1/2波片快轴方位角 (Fast axis orientation of HWP) −22.5°
    1/4波片快轴方位角 (Fast axis orientation of QWP) 45°
    部分偏振分束器分束比 (Splitting ratio of PPBS) Tp/Ts = 0.8/0.2
    Table 1.

    Parameters of division-of-amplitude full Stokes simultaneous polarization imaging system.

    分振幅型全Stokes同时偏振成像系统设计参数

    \begin{document}$\sigma $\end{document}\begin{document}$\delta$\end{document}
    −1.0°−0.9°−0.6°−0.5°0.5°0.6°0.9°1.0°
    −3.2°3.22%3.07%2.65%2.53%2.03%2.54%2.68%3.11%3.26%
    −3.1°3.17%3.02%2.59%2.47%1.97%2.48%2.62%3.05%3.20%
    −1.7°2.50%2.32%1.82%1.66%1.06%1.67%1.83%2.33%2.50%
    −1.6°2.46%2.28%1.77%1.61%1.00%1.62%1.78%2.28%2.46%
    −0.5°2.13%1.92%1.31%1.12%0.31%1.12%1.31%1.92%2.13%
    2.09%1.88%1.25%1.04%01.04%1.25%1.88%2.09%
    0.5°2.13%1.92%1.32%1.12%0.31%1.12%1.32%1.92%2.13%
    1.6°2.45%2.27%1.77%1.62%1.00%1.61%1.77%2.27%2.45%
    1.7°2.49%2.31%1.82%1.67%1.06%1.66%1.82%2.31%2.49%
    3.1°3.20%3.05%2.64%2.50%1.95%2.46%2.59%3.02%3.17%
    3.2°3.25%3.11%2.70%2.57%2.02%2.52%2.65%3.07%3.22%
    Table 2. Variation relation of measure accuracy of DOP with the phase delay error of HWP and the phase delay error of QWP. 系统偏振度测量精度 随HWP相位延迟误差 和QWP相位延迟误差 的变化关系
    \begin{document}$\sigma$\end{document}\begin{document}$\delta $\end{document}
    −1.0°−0.9°−0.6°−0.5°0.5°0.6°0.9°1.0°
    −3.2°4.01%4.01%4.01%4.01%4.01%4.01%4.01%4.01%4.01%
    −3.1°3.88%3.88%3.88%3.88%3.88%3.88%3.88%3.88%3.88%
    −1.7°3.48%3.14%2.11%2.11%2.11%2.11%2.11%3.14%3.48%
    −1.6°3.48%3.14%2.09%1.99%1.99%1.99%2.09%3.14%3.48%
    −0.5°3.48%3.14%2.09%1.74%0.62%1.74%2.09%3.14%3.48%
    3.48%3.14%2.09%1.74%01.74%2.09%3.14%3.48%
    0.5°3.48%3.14%2.09%1.74%0.62%1.74%2.09%3.14%3.48%
    1.6°3.48%3.14%2.09%1.99%1.99%1.99%2.09%3.14%3.48%
    1.7°3.48%3.14%2.11%2.11%2.11%2.11%2.11%3.14%3.48%
    3.1°3.88%3.88%3.88%3.88%3.88%3.88%3.88%3.88%3.88%
    3.2°4.01%4.01%4.01%4.01%4.01%4.01%4.01%4.01%4.01%
    Table 3. Variation relation of system polarization measurement accuracy with the phase delay error of HWP and the phase delay error of QWP. 系统偏振测量精度 随HWP相位延迟误差 和QWP相位延迟误差 的变化关系
    参数名称参数值
    He-Ne激光器输出波长632.99 nm
    He-Ne激光器光强稳定性± 0.1%
    电动转台旋转精度0.005°
    偏振片消光系数≥ 10000∶1
    零级QWP相位延迟量89.87°@632.99 nm
    Table 4.

    Parameters of PSG in the experimental optical path.

    实验光路中PSG的主要参数

    参数名称参数值
    PPBS分束比 \begin{document}${{T_{\rm p}^{({\rm PPBS})}} / {T_{\rm s}^{({\rm PPBS})}}}$\end{document}0.788/0.191
    零级HWP相位延迟量179.74°@632.99 nm
    零级QWP相位延迟量89.87°@632.99 nm
    零级HWP快轴方位角−22.5°
    零级QWP快轴方位角45°
    PBS1分束比 \begin{document}${{T_{\rm{p}}^{({\rm{PBS1}})}} / {T_{\rm{s}}^{({\rm{PBS1}})}}}$\end{document}0.981/0.0007
    PBS2分束比 \begin{document}${{T_{\rm{p}}^{({\rm{PBS2}})}} / {T_{\rm{s}}^{({\rm{PBS2}})}}}$\end{document}0.988/0.0008
    Table 5.

    Parameters of the four-paths polarization analyzer in the experimental optical path.

    实验光路中四分束偏振分析器的主要参数

    Yu-Long Yin, Xiao-Bing Sun, Mao-Xin Song, Wei Chen, Fei-Nan Chen. Phase delay error analysis of wave plate of division-of-amplitude full Stokes simultaneous polarization imaging system[J]. Acta Physica Sinica, 2019, 68(2): 024203-1
    Download Citation