Calculation of the volumetric diffracted field with a three-dimensional convolution: the three-dimensional angular spectrum method

被引:8
|
作者
Kou, Shan Shan [1 ]
Sheppard, Colin J. R. [2 ]
Lin, Jiao [1 ]
机构
[1] Univ Melbourne, Sch Phys, Melbourne, Vic 3010, Australia
[2] Ist Italiano Tecnol, I-16163 Genoa, Italy
基金
澳大利亚研究理事会;
关键词
RAYLEIGH-SOMMERFELD DIFFRACTION; MICROSCOPY; APERTURE; IMAGE;
D O I
10.1364/OL.38.005296
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The first Rayleigh-Sommerfeld diffraction formula is treated in an exact form as a three-dimensional (3D) convolution in the spatial domain. Therefore, a 3D Fourier transform can be employed to convert the 3D diffracted electromagnetic field to the reciprocal space without approximations, which we call the 3D angular spectrum (3D-AS) method. It is also demonstrated that if evanescent waves are neglected, the 3D-AS method can be readily implemented numerically, with the results in good agreement with theoretical predictions. (C) 2013 Optical Society of America
引用
收藏
页码:5296 / 5298
页数:3
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