• Chinese Optics Letters
  • Vol. 18, Issue 8, 081202 (2020)
Jianhui Li, Yanqiu Li*, Ke Liu, Guodong Zhou, Lihui Liu, and Meng Zheng
Author Affiliations
  • 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
  • show less
    DOI: 10.3788/COL202018.081202 Cite this Article Set citation alerts
    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[J]. Chinese Optics Letters, 2020, 18(8): 081202 Copy Citation Text show less
    Schematic diagram of a wide-view-angle Mueller polarimeter for measuring the Mueller pupil of projection optics.
    Fig. 1. Schematic diagram of a wide-view-angle Mueller polarimeter for measuring the Mueller pupil of projection optics.
    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.
    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.
    Mueller matrices over two-dimensional distribution of air (a) before calibration and (b) after calibration.
    Fig. 3. Mueller matrices over two-dimensional distribution of air (a) before calibration and (b) after calibration.
    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.
    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.
    (a) Product of Mueller pupils of projection optics and collimating optics, M; (b) the Mueller pupil of collimating optics, Mc; (c) the Mueller pupil of projection optics, Mp.
    Fig. 5. (a) Product of Mueller pupils of projection optics and collimating optics, M; (b) the Mueller pupil of collimating optics, Mc; (c) the Mueller pupil of projection optics, Mp.
    Comparison of polarization parameters extracted from obtained M, Mc, and Mp shown in Fig. 5.
    Fig. 6. Comparison of polarization parameters extracted from obtained M, Mc, and Mp shown in Fig. 5.
    ErrorsMean Value (°)
    ε11.2034
    ε20.8425
    ε3−0.3839
    ε4−1.3407
    ε5−1.5470
    Table 1. Parameter Errors of PSG and PSA
    MpM
    Mean[1.00000.01750.00100.00290.02350.95780.12660.00050.01280.10621.00770.06070.00400.01890.08050.9770][1.00000.01660.00200.00350.00520.94900.00660.00920.00030.00240.93790.00270.00210.00130.01240.9222]
    RMS[00.03000.02220.00780.03420.04640.13270.05150.04040.11050.05970.10980.01500.04700.11430.0373][00.02250.02160.01030.01370.05070.02550.00450.01250.01980.06160.04450.01060.03900.04810.0777]
    PV[00.69631.08620.18440.92581.93792.28260.42791.05842.43253.73501.31790.43040.51491.06902.7689][00.13330.20790.15300.13140.62150.21490.35780.14620.20950.64330.31390.14310.29850.31640.5632]
    Table 2. Corresponding Mean Values, RMS, and PV Values of Each Sub-Pupil of Mp and M in Fig. 5
    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[J]. Chinese Optics Letters, 2020, 18(8): 081202
    Download Citation