Acta Photonica Sinica, Volume. 50, Issue 11, 1105003(2021)

Deflection Angular Model of Orthogonal Cascade Liquid Crystal Polarization Gratings

Zhuang LIU1,2、*, Qidong WANG2, Chao WANG1, and Haodong SHI1
Author Affiliations
  • 1Institute of Space Photo⁃electronics Technology,Changchun University of Science and Technology,Changchun 130022,China
  • 2State Key Laboratory of Applied Optics,Changchun Institute of Optics,Fine Mechanics and Physics,China Academy of Sciences,Changchun 130033,China
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    Figures & Tables(12)
    Molecular structure of LCPG in one cycle
    Diffraction properties of passive LCPG.
    Passive LCPG stage with two variable LC half wave -plates and two LCPG
    Achievable beam deflection angle of Quasi-binary and Ternary Cascade LCPG
    Achievable beam deflection angle of Quasi-binary and Ternary Cascade LCPG after correction
    OC-LCPGs beam deflection angle distribution diagram
    Composition diagram of software model
    Physical diagram of modulation angle test system
    • Table 1. Achievable deflection angle and angular resolution of Cascade LCPG

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      Table 1. Achievable deflection angle and angular resolution of Cascade LCPG

      NumberControl parameters of 1.25° gratingControl parameters of 2.5° gratingControl parameters of 5.0° gratingControl parameters of 10.0° gratingControl parameters of 20.0° gratingRealizable angleAngular resolution
      100000
      2100001.25°1.25°
      3010002.50°1.25°
      4110003.75°1.25°
      5001005.00°1.26°
      6101006.26°1.26°
      7011007.51°1.26°
      8111008.78°1.22°
      90001010°1.27°
      101001011.27°1.28°
      110101012.55°1.28°
      121101013.83°1.28°
      130011015.12°1.30°
      141011016.42°1.31°
      150111017.72°1.32°
      161111019.04°0.96°
      170000120°1.34°
      181000121.34°1.35°
      190100122.68°1.36°
      201100124.05°1.37°
      210010125.42°1.39°
      221010126.81°1.41°
      230110128.22°1.43°
      241110129.64°1.40°
      250001131.04°1.47°
      261001132.51°1.49°
      270101134.01°1.52°
      281101135.53°1.54°
      290011137.07°1.58°
      301011138.66°1.62°
      310111140.27°1.66°
      321111141.93°
    • Table 2. Software model parameter

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      Table 2. Software model parameter

      ComponentParameterValue
      Light sourceWavelength632.8 nm
      Aperture0.1 mm
      GratingLinear density and direction of grating 1100 lines/mm@x
      Linear density and direction of grating 2200 lines/mm@x
      Linear density and direction of grating 3100 lines/mm@y
      Linear density and direction of grating 4400 lines/mm@y
      MaterialBK7
      ThicknessThickness0.5mm
      Grating and grating0.5mm
      Grating and image plane1 000m
    • Table 3. Composition and parameter of test system

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      Table 3. Composition and parameter of test system

      ComponentParameterValue
      Light sourceWavelength630 nm
      GratingLinear density and direction of grating 1138.3 lines/mm@x
      Linear density and direction of grating 2138.3 lines/mm@x
      Linear density and direction of grating 3275.6 lines/mm@y
      Linear density and direction of grating 4275.6 lines/mm@y
      MaterialBK7
      Thickness0.5 mm
      Half wave-plateMaterialBK7
      Thickness0.5 mm
      ThicknessGrating and half wave-plate0 mm
      Grating and grating0.5 mm
      Grating and screen2 000 mm
    • Table 4. Experimental result

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      Table 4. Experimental result

      Ideal angle/(°)Theoretical angle/(°)Average value of measured coordinates/mmActual angle/(°)Angle error/(°)
      (0,10.0)(0,10.1)(0,356)(0,10.1)0
      (0,-10.0)(0,-10.1)(0,356)(0,-10.1)0
      (20.0,0)(20.4,0)(744,0)(20.4,0)0
      (-20.0,0)(-20.4,0)(-746,0)(-20.5,0)0.1
      (20.0,10.0)(20.7,10.7)(757,381)(20.7,10.7)0
      (20.0,-10.0)(20.7,-10.7)(756,-382)(20.7,-10.8)0.1
      (-20.0,10.0)(-20.7,10.7)(-760,381)(-20.8,10.7)0.1
      (-20.0,10.0)(-20.7,10.7)(-759,-381)(-20.8,10.7)0.1
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    Zhuang LIU, Qidong WANG, Chao WANG, Haodong SHI. Deflection Angular Model of Orthogonal Cascade Liquid Crystal Polarization Gratings[J]. Acta Photonica Sinica, 2021, 50(11): 1105003

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    Paper Information

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    Received: Jun. 28, 2021

    Accepted: Sep. 29, 2021

    Published Online: Dec. 2, 2021

    The Author Email: Zhuang LIU (zhuangzhilingyun2007@aliyun.com)

    DOI:10.3788/gzxb20215011.1105003

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