• Laser & Optoelectronics Progress
  • Vol. 60, Issue 1, 0112001 (2023)
Minjuan Zhang1、2、*, Chunyang Li1、2, Jinhua Li1、2, and Kun Yang1、2
Author Affiliations
  • 1School of Information and Communication Engineering, North University of China, Taiyuan 030051, Shanxi, China
  • 2Engineering and Technology Research Center of Shanxi Province for Optical-Electric Information and Instrument, North University of China, Taiyuan 030051, Shanxi, China
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    DOI: 10.3788/LOP212873 Cite this Article Set citation alerts
    Minjuan Zhang, Chunyang Li, Jinhua Li, Kun Yang. Accurate Detection Method of Phase Retardation Based on Cascade Modulation with Phase Compensation[J]. Laser & Optoelectronics Progress, 2023, 60(1): 0112001 Copy Citation Text show less

    Abstract

    Phase retardation is an important indicator of polarizing optical elements. To measure the phase retardation of the polarizing element accurately and quickly, a method with phase compensation and cascade modulation for detecting the phase retardation of the polarizing elements is proposed. In this method, a photo-elastic modulator (PEM) and an electro-optical modulator (EOM) are used as the cascade modulation element of the phase delay detection system, and a Soleil-Babinet phase compensator is used to compensate phase retardation for the sample. Using digital phase lock technology and a field-programmable gate array (FPGA)-based on-chip programmable system, it detects the phase parameters of the Soleil-Babinet phase compensator corresponding to the extreme point of light intensity and performs data processing to realize the detection of the phase retardation of the sample. Experiments show that the maximum relative error of using this method to measure the phase delay of a sample is 0.857% and the measurement accuracy is 99.143%, which verifies that the combination of the polarization modulation and compensation methods to measure the phase retardation has high accuracy, and the influence of the compensator itself on the measurement error is reduced.
    Sin=I0[1,0,1,0]T
    MPEM=1000010000cos βP-sin βP00sin βPcos βP
    βP=δ0sin 2πft
    MP2=MP3=121010000010100000
    MEOMV=Vπ=100000-100-100000-1
    βE=πVVπsin (2πf0t)=ρsin (2πf0t)
    βB=2πλ(ne-no)ΔLtan α
    β=βP+βE+βS+βB=βP+βE+Δβ
    I=I0sin2(βP+βE+Δβ2)=I021-cos βP+βE+Δβ
    I=I021-cosβP+ρsin(2πf0t)+Δβ=I021-cosΔβcosβP+ρsin(2πf0t)+sinΔβsinβP+ρsin(2πf0t)
    sintsin(ωt)=22k-1J2k-1tsin2k-1ωtcostsin(ωt)=J0t+22kJ2ktcos2kωt
    I=I021-cosΔββP+J0ρ+22kJ2kρ·cos 2k2πf0t+sinΔβsinβP+22k-1J2k-1ρ·sin 2k-12πf0t,
    I=I02γsinΔβJ1(ρ)sin(2πf0t)-τcosΔβJ2(ρ)cos(4πf0t)
    2π=2πλ(ne-no)ΔL2πtan α
    βB2π=ΔLΔL2π
    βS=-ΔLΔL2π2π
    Minjuan Zhang, Chunyang Li, Jinhua Li, Kun Yang. Accurate Detection Method of Phase Retardation Based on Cascade Modulation with Phase Compensation[J]. Laser & Optoelectronics Progress, 2023, 60(1): 0112001
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