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Acta Optica Sinica, Volume. 38, Issue 2, 0212002(2018)

Study on Functional Relationship between Transmitted Wavefront Zernike Coefficients and Wavelengths

Qiyuan Zhang1,3, Sen Han2,3、*, Shouhong Tang2,3, Chunhua Luo1, and Yuegang Fu1
Author Affiliations
  • 1 School of Optoelectronic Engineering, Changchun University of Science and Technology, Changchun, Jilin 130022, China
  • 2 College of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
  • 3 Suzhou H & L Instruments LLC, Suzhou, Jiangsu 215123, China;
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    AbstractGet PDF(in Chinese)
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    Figures&Tables (9)
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    Figures & Tables(9)
    Diagram of different wavelength wavefronts of optical system

    Fig. 1. Diagram of different wavelength wavefronts of optical system

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    Optical system testing at infinite distance

    Fig. 2. Optical system testing at infinite distance

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    Optical system layout

    Fig. 3. Optical system layout

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    Curves of 9 fringe Zernike coefficients of full field of optical system as a function of wavelength. (a) Z1; (b) Z2; (c) Z3; (d) Z4; (e) Z5; (f) Z6; (g) Z7; (h) Z8; (i) Z9

    Fig. 4. Curves of 9 fringe Zernike coefficients of full field of optical system as a function of wavelength. (a) Z1; (b) Z2; (c) Z3; (d) Z4; (e) Z5; (f) Z6; (g) Z7; (h) Z8; (i) Z9

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    Curve fitting results of Z1 coefficient of full field of ideal system. (a) Polynomial curve; (b) exponential curve; (c) Fourier curve; (d) Gaussian curve; (e) power curve; (f) rational function curve

    Fig. 5. Curve fitting results of Z1 coefficient of full field of ideal system. (a) Polynomial curve; (b) exponential curve; (c) Fourier curve; (d) Gaussian curve; (e) power curve; (f) rational function curve

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    Comparison between solved quadratic polynomial curve and acquired data curve

    Fig. 6. Comparison between solved quadratic polynomial curve and acquired data curve

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    Comparison between solved Conrady formula curve and acquired data curve

    Fig. 7. Comparison between solved Conrady formula curve and acquired data curve

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    Error curve of Conrady formula

    Fig. 8. Error curve of Conrady formula

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    • Table 1. Errors of 9 Fringe Zernike coefficients%

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      Table 1. Errors of 9 Fringe Zernike coefficients%

      Zernike coefficient0° field of view0.7° field of view1° field of view
      Z1-0.25-0.21-0.2
      Z20.0140.010.012
      Z3-0.007-0.09-0.09
      Z4-0.3-0.23-0.2
      Z54-0.070.07
      Z6-0.20.0350.035
      Z7-0.020.012-0.012
      Z80.012-0.09-0.09
      Z9-0.2-0.2-0.2
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    Qiyuan Zhang, Sen Han, Shouhong Tang, Chunhua Luo, Yuegang Fu. Study on Functional Relationship between Transmitted Wavefront Zernike Coefficients and Wavelengths[J]. Acta Optica Sinica, 2018, 38(2): 0212002

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jun. 23, 2017

    Accepted: --

    Published Online: Aug. 30, 2018

    The Author Email: Han Sen (senhanemail@126.com)

    DOI:10.3788/AOS201838.0212002

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology