• Infrared and Laser Engineering
  • Vol. 33, Issue 4, 405 (2004)
[in Chinese]1、*, [in Chinese]2, and [in Chinese]1
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    DOI: Cite this Article
    [in Chinese], [in Chinese], [in Chinese]. One-dimensional digital computation and realization on MATLAB of point spread function[J]. Infrared and Laser Engineering, 2004, 33(4): 405 Copy Citation Text show less

    Abstract

    The computation of two-dimensional Fourier transform for point spread function of diffraction limited pupil can be transformed to the computation of one-dimensional Fourier and Hankel transform by use of the relationship between exponential function and Bessel function and property of an expansion of a optical symmetrical pupil function into azimuthal Fourier series. The detailed numerical procedure based on one-dimensional digital algorithm is completed on MATLAB. In comparison with the classic two-dimensional Fourier transform algorithm, the one-dimensional method of Fourier and Hankel transform can obtain intensity samples along arbitrary radial direction at the image plane. And compared with Fortran, Basic and C language etc., the MATLAB program has advantages of succinct language, great reductions of demand of mathematic basis and computer language, and it is a efficient tool for scientific and engineering research.
    [in Chinese], [in Chinese], [in Chinese]. One-dimensional digital computation and realization on MATLAB of point spread function[J]. Infrared and Laser Engineering, 2004, 33(4): 405
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