Acta Optica Sinica, Volume. 41, Issue 15, 1522001(2021)

Analysis and Design of Grism Linear-Wavenumber Spectroscopic Optical System

Jian Bao1,2, Qiuyang Shen1,2, Xinhua Chen1,2、*, Shiqi Pan1,2, and Weimin Shen1,2
Author Affiliations
  • 1Key Laboratory of Modern Optical Technologies of Education of China, School of Optoelectronic Science and Engineering, Soochow University, Suzhou, Jiangsu 215006, China
  • 2Key Laboratory of Advanced Optical Manufacturing Technologies of Jiangsu Province, School of Optoelectronic Science and Engineering, Soochow University, Suzhou, Jiangsu 215006, China
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    Figures & Tables(18)
    Schematic diagram of the grism splitting
    Analysis result of the ZnS prism. (a) Δy under different α; (b) change curve of RMS with α
    Schematic diagram of the objective optical path
    Aberration analysis of the objective lens. (a) Change curve of D with α; (b) change curve of C with α
    Objective lens analysis result when α=32.5° (before aberration compensation). (a) Change curve of y with k; (b) position interval Δy between adjacent wavenumbers
    Optical path diagram of the spectrometer
    Objective lens analysis result when α=32.5° (after aberration compensation). (a) Change curve of y with k; (b) position interval Δy between adjacent wavenumbers
    Aberration analysis of the objective lens. (a) Vertical axis chromatic aberration; (b) relative distortion
    Point diagram of typical wavelength. (a) 750 nm; (b) 792 nm; (c) 838 nm; (d) 891 nm; (e) 950 nm
    Concentration of the diffracted energy. (a) 750 nm; (b) 838 nm; (c) 950 nm
    Change curve of λFWHM with wavelength
    Spectral curve. (a) Spectral curve of the light source; (b) radiation intensity received by the image plane
    Axial response curve. (a) Before aberration compensation; (b) after aberration compensation
    • Table 1. Index parameters of the spectroscopic system

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      Table 1. Index parameters of the spectroscopic system

      Spectralrange /nmSpectralresolution /nmF-numberSpectrumwidth /mm
      750--9500.14.820.4
    • Table 2. Minimum RMS of the grism spectroscopy method under different materials

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      Table 2. Minimum RMS of the grism spectroscopy method under different materials

      MaterialBK7F2SF10H-ZLAF71H-ZF62LASF35ZnS
      n(λ)(0.85 μm)1.5101.6071.7091.8301.8911.9952.306
      α /(°)52.949.045.442.040.338.132.0
      RMS0.06640.06340.06110.05900.05820.05690.0539
    • Table 3. Minimum RMS of the the prism correction method under different materials

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      Table 3. Minimum RMS of the the prism correction method under different materials

      MaterialBK7F2SF10H-ZLAF71H-ZF62LASF35ZnS
      n(λ)(0.85 μm)1.5101.6071.7091.8301.8911.9952.306
      β /(°)29.028.528.127.827.627.326.9
      α /(°)65.660.155.351.048.545.937.7
      RMS0.00580.00630.00680.00660.00790.00690.0094
    • Table 4. Tolerance range of the optical system

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      Table 4. Tolerance range of the optical system

      ParameterValue
      RadiusN=1
      Thickness /mm0.03
      S+A irregularityΔN=0.3
      Index0.0005
      Abbe /%0.5
      Decenter X/Y /mm0.02
      Tilt X/Y /(')1
    • Table 5. System indicators before and after tolerance allocation

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      Table 5. System indicators before and after tolerance allocation

      ParameterBeforedistributionAfterdistribution
      Encircled energy (λ=750 nm) /%87.370.1
      Encircled energy (λ=838 nm) /%86.286.1
      Encircled energy (λ=950 nm) /%85.679.4
      RMS0.00560.0057
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    Jian Bao, Qiuyang Shen, Xinhua Chen, Shiqi Pan, Weimin Shen. Analysis and Design of Grism Linear-Wavenumber Spectroscopic Optical System[J]. Acta Optica Sinica, 2021, 41(15): 1522001

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Jan. 29, 2021

    Accepted: Mar. 8, 2021

    Published Online: Aug. 11, 2021

    The Author Email: Chen Xinhua (xinhua_chen@suda.edu.cn)

    DOI:10.3788/AOS202141.1522001

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