摘要
单次傅里叶变换算法是一种常用的计算菲涅尔衍射积分的数值算法.在单次傅里叶变换算法中,二次相位因子的采样和计算窗口尺寸会严重影响计算精度.本文利用局域空间频率的概念,结合采样定理,给出了二次相位因子的理想采样间隔和计算窗口尺寸的选取方法.然后将数值仿真结果分别与理论解析解和实验结果进行对比,验证了理想采样间隔和计算窗口尺寸选择方法的有效性.
The single Fourier transform method is a common approach for numerical calculating the Fresnel 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.
作者
崔文乐
韩利琪
霍晓敏
杨丽君
张素恒
CUI Wen-le;HAN Li-qi;HUO Xiao-min;YANG Li-jun;ZHANG Su-heng(College of Physics Science and Technology, Hebei University, Baoding, Hebei 071002, China)
出处
《大学物理》
2019年第2期9-16,共8页
College Physics
基金
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
关键词
菲涅尔衍射积分
单次傅里叶变换算法
局域空间频率
理想采样间隔
Fresnel diffraction integration
single Fourier transform method
local spatial frequency
ideal sampling interval
