• Laser & Optoelectronics Progress
  • Vol. 60, Issue 1, 0112004 (2023)
Wei Wang1、*, Fufang Su2, Shang Gao1, Dong Liu1, and Jianzhong Chen1
Author Affiliations
  • 1School of Science, Shandong Jiaotong University, Jinan 250357, Shandong, China
  • 2Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, School of Physics and Physical Engineering, Qufu Normal University, Qufu273100, Shandong, China
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    DOI: 10.3788/LOP212934 Cite this Article Set citation alerts
    Wei Wang, Fufang Su, Shang Gao, Dong Liu, Jianzhong Chen. Method for Measurement of Phase Retardation of a Wave Plate Based on Spectral Interference Technology[J]. Laser & Optoelectronics Progress, 2023, 60(1): 0112004 Copy Citation Text show less

    Abstract

    The accuracy of the phase retardation of a wave plate, which is an important technical parameter, directly affects the performance of the entire polarization optical system. It may be necessary to measure the wave plate before use. Based on the curve distribution characteristics of the polarization interference spectrum, a method for measuring the phase retardation of a wave plate is presented. In this method, the wave plate to be measured is placed between a polarizer and an analyzer, and the transmission spectrum curve in a certain spectral range is measured using a spectrophotometer. Based on an accurate estimation of the wavelengths of certain points with specific transmission from the transmission spectrum curve, the thickness, absolute phase retardation, order, and effective phase retardation of the wave plate can be obtained simultaneously. Theoretical analysis and experimental results show that the proposed method has advantages such as, suitability for zero-order or multi-order crystal wave plate with any phase retardation, high measurement precision, and ease of operation. Furthermore, it has no strict requirements for the directions of the fast axis of the wave plate and the transmission axes of the polarizer and the analyzer.
    Ein=I00(1)
    MP=1000(1)
    MW=cosδ(λ)2+jsinδ(λ)2cos2θjsinδ(λ)2sin2θjsinδ(λ)2sin2θcosδ(λ)2-jsinδ(λ)2cos2θ(1)
    MA=cos2αsinαcosαsinαcosαsin2α(1)
    Eout=MAMWMPI00=I0cos2αcosδ(λ)2+jcosαsinδ(λ)2cosα-2θsinαcosαcosδ(λ)2+jsinαsinδ(λ)2cosα-2θ
    I(λ)out=EoutEout=I0cos2αcos2δ(λ)2+cos2α-2θsin2δ(λ)2
    T(λ)=I(λ)outI0=12cos2α+cos2α-2θ+12cos2α-cos2α-2θcosδ(λ)
    Δn(λ)=Δ0+Δ1λ+Δ2λ2+Δnλn+
    δ(λA1)-δ(λB1)=πδ(λB1)-δ(λA2)=π,⋯,
    δ(λa1)-δ(λb2)=π
    2πdΔn(λa1)λa1-2πdΔn(λb2)λb2=π
    d=λa1λb22Δn(λa1)λb2-Δn(λb2)λa1
    δ(λ)=πΔn(λ)λa1λb2λΔn(λa1)λb2-Δn(λb2)λa1
    δ0(λ)=MOD[δ(λ), 2π]
    n=INT[δλ2π]
    Δd=dλa1Δλa1+dλb2Δλb2=Δn(λa1)λb222Δn(λa1)λb2-Δn(λb2)λa12Δλa1+Δn(λb2)λa122Δn(λa1)λb2-Δn(λb2)λa12Δλb2
    Δd=Δn(λa1)λb22+Δn(λb2)λa122Δn(λa1)λb2-Δn(λb2)λa12Δλ
    Wei Wang, Fufang Su, Shang Gao, Dong Liu, Jianzhong Chen. Method for Measurement of Phase Retardation of a Wave Plate Based on Spectral Interference Technology[J]. Laser & Optoelectronics Progress, 2023, 60(1): 0112004
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