菲涅尔衍射积分的单次傅里叶变换算法
收稿日期: 2018-06-14
修回日期: 2018-08-29
网络出版日期: 2019-03-28
基金资助
河北省教育厅自然科学基金项目( QN2014086) ; 河北省自然科学基金项目( A2015201046) ; 河北大学实验室开放项目(
SY201638)
资助
Single Fourier transform method for the Fresnel diffraction integration
Received date: 2018-06-14
Revised date: 2018-08-29
Online published: 2019-03-28
崔文乐, 韩利琪, 霍晓敏, 杨丽君, 张素恒 . 菲涅尔衍射积分的单次傅里叶变换算法[J]. 大学物理, 2019 , 38(2) : 9 -16 . DOI: 10.16854 /j.cnki.1000-0712.180362
diffraction integration. In the single Fourier transform method，the sampling of quadratic phase factor and the size of
the calculation window can seriously affect the calculation accuracy. Based on the concept of local spatial frequency
and the sampling theorem，this paper gives the ideal sampling interval of quadratic phase factor and the selection
method of the size of the calculation window. Then the numerical simulation results are compared with the
theoretical analytical solutions and experimental results，respectively，to verify the effectiveness of the ideal
sampling interval and the selection method of the size of the calculation window.
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