• Acta Photonica Sinica
  • Vol. 49, Issue 12, 146 (2020)
Sun-chen WANG1、3, Lei ZHANG2、*, Mo-gen XUE1、3, Yun-zhi WU1、3, Rong JIA1、3, and Ying XUE1、3
Author Affiliations
  • 1Department of Information Engineering, Chinese Academy of People's Liberation Army Artillery Air Defense Academy, Hefei23003, China
  • 2Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China,Hefei3007,China
  • 3Key Laboratory of Polarized Light Imaging Detection Technology in Anhui Province, Hefei2001, China
  • show less
    DOI: 10.3788/gzxb20204912.1211001 Cite this Article
    Sun-chen WANG, Lei ZHANG, Mo-gen XUE, Yun-zhi WU, Rong JIA, Ying XUE. Optimization with Demodulation Algorithm for Spatially Modulated Full Polarization Imaging System[J]. Acta Photonica Sinica, 2020, 49(12): 146 Copy Citation Text show less

    Abstract

    In order to optimize the two-dimensional Fourier transform demodulation in spatially modulated full polarization imaging system, Bessel's correction directional selective two-dimensional Hanning apodization optimal demodulation algorithm is proposed. The characteristics of main lobe width and sidelobe attenuation of different apodization functions are compared and analyzed. Compared with the traditional Hanning window, the proposed algorithm has a sidelobe suppression capability improved by 12.89 dB and a main lobe width of 0.065π. At the same time, it shows a good suppression effect on the diagonal spectrum information of the relative position in the spectrum filtering process. A system imaging simulation platform based on Jones matrix is built and verified by experiments. The experimental results show that the full polarization component demodulation accuracy of the optimized demodulation algorithm is improved by 9.48% on average, which verifies the accuracy and effectiveness of the optimized demodulation algorithm.
    Ix,y=12Exx,yeiφ1-12Exx,yeiφ2+12Eyx,yeiφ3+12Eyx,yeiφ42(1)

    View in Article

    S0=ExEx*+EyEy*S1=ExEx*-EyEy*S2=ExEy*+Ex*EyS3=iExEy*-Ex*Ey(2)

    View in Article

    Ix,y=12S0x,y+12S1x,ycos[2πΩx+y]+14S2x,ycos2π(2Ω)x-cos2π(2Ω)y+14S3x,ysin2π2Ωx+sin2π2Ωy(3)

    View in Article

    FIx,y=12F0u,v+14F1u-a,v-a+F1u+a,v+a+18F23*u-2a,v+F23u+2a,v-18F23*u,v+2a-F23u,v-2a(4)

    View in Article

    FIx,y=12S0N2sincNfxsincNfy+14S1N2sincNfx-ΩsincNfy-Ω+14S1N2sincNfx+ΩsincNfy+Ω+18S23N2sincNfx+2ΩsincNfy-18S23N2sincNfxsincNfy-2Ω+18S23*N2sincNfx-2ΩsincNfy-18S23*N2sincNfxsincNfy+2Ω         (5)

    View in Article

    FIx,y=12S0N2sincNfxsincNfyWNfx,Nfy+14S1N2sincNfx-ΩsincNfy-ΩWNfx-Ω,Nfy-Ω+14S1N2sincNfx+ΩsincNfy+ΩWNfx+Ω,Nfy+Ω+18S23N2sincNfx+2ΩsincNfyWNfx+2Ω,Nfy-18S23N2sincNfxsincNfy-2ΩWNfx,Nfy-2Ω+18S23*N2sincNfx-2ΩsincNfyWNfx-2Ω,Nfy-18S23*N2sincNfxsincNfy+2ΩWNfx,Nfy+2Ω   (6)

    View in Article

    w(x,y)=Hanning(x,y)×q(x,y)(7)

    View in Article

    Hanningx,y=0.5+0.5cos2π(x+y)N(8)

    View in Article

    qx,y=I421-2(x+y)N-1I20x,yN-1 (9)

    View in Article

    JSP(x,y)=J1J2J3   J4=JLPJS4JS3JHWPJS2JS1(10)

    View in Article

    Ex'(x,y)Ey'(x,y)=JSP(x,y)Ex(x,y)Ey(x,y)(11)

    View in Article

    (12)

    View in Article

    JLPθx,y=cos2θ12sin2θ12sin2θsin2θ(13)

    View in Article

    JSδx,y,α=cos2αexpiδe+sin2αexpiδosinαcosαexpiδe-expiδosinαcosαexpiδe-expiδosin2αexpiδe+cos2αexpiδo(14)

    View in Article

    JSδx,y,α=cos2αexpiδe-δo+sin2αsinαcosαexpiδe-δo-1sinαcosαexpiδe-δo-1sin2αexpiδe-δo+cos2α(15)

    View in Article

    Δ(θ,ω,ε,σ)=Δe-Δo=1C-1b+a2-b2sinεcosεcosωC2sinθ+         sin2θ2b-a2Csin2ω+b-a2b2C3cos2ω(16)

    View in Article

    δx,y,σ=(2π/λ)tΔx,y,σ(17)

    View in Article

    I(x,y)=Ex'(x,y)2+Ey'(x,y)2(18)

    View in Article

    Sun-chen WANG, Lei ZHANG, Mo-gen XUE, Yun-zhi WU, Rong JIA, Ying XUE. Optimization with Demodulation Algorithm for Spatially Modulated Full Polarization Imaging System[J]. Acta Photonica Sinica, 2020, 49(12): 146
    Download Citation