• Chinese Optics Letters
  • Vol. 21, Issue 4, 041201 (2023)
Zhenyi Chen1、*, Wenchuan Zhao2, Qican Zhang3, Jin Peng1, and Junyong Hou1
Author Affiliations
  • 1School of Sciences, Southwest Petroleum University, Nanchong 637001, China
  • 2Institute of Optoelectronic Technology, Chinese Academy of Sciences, Chengdu 610209, China
  • 3School of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China
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    DOI: 10.3788/COL202321.041201 Cite this Article Set citation alerts
    Zhenyi Chen, Wenchuan Zhao, Qican Zhang, Jin Peng, Junyong Hou. Wavefront measurement of a multilens optical system based on phase measuring deflectometry[J]. Chinese Optics Letters, 2023, 21(4): 041201 Copy Citation Text show less

    Abstract

    Usually, a multilens optical system is composed of multiple undetectable sublenses. Wavefront of a multilens optical system cannot be measured when classical transmitted phase measuring deflectometry (PMD) is used. In this study, a wavefront measuring method for an optical system with multiple optics is presented based on PMD. A paraxial plane is used to represent the test multilens optical system. We introduce the calibration strategy and mathematical deduction of gradient equations. Systematic errors are suppressed with an N-rotation test. Simulations have been performed to demonstrate our method. The results showing the use of our method in multilens optical systems, such as the collimator and single-lens reflex camera lenses show that the measurement accuracy is comparable with those of interferometric tests.
    g=x2x1B,

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    W=fint2(g)=WT+We=Wa+Ws+We,

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    x2=R·Tus2πφ+T,

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    f=f1f2Δ,

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    Δ=df1f2.

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    d=f1f2f+f1+f2.

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    B=lobj+L,

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    lobj=f2+xF+f,

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    xF=f22Δ.

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    B=f2ff1+f2+f+L.

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    x1=d(ucf1xcδt)/δr,

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    {Wθ=Waθ+Ws+WeWθ+2πN=Waθ+2πN+Ws+WeWθ+2πN(N2)=Waθ+2πN(N2)+Ws+WeWθ+2πN(N1)=Waθ+2πN(N1)+Ws+We,

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    W¯=1Nk=0N1Wθ+k2πN=Ws+We.

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    Wa=WW¯,

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    W=fint2(R·Tus2πφ+T(f1f2f+f1+f2)·(ucf1xcδt)/δrf2ff1+f2+f+L),

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    W¯=1Nk=0N1Wθ+k2πN.

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    Zhenyi Chen, Wenchuan Zhao, Qican Zhang, Jin Peng, Junyong Hou. Wavefront measurement of a multilens optical system based on phase measuring deflectometry[J]. Chinese Optics Letters, 2023, 21(4): 041201
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