REPRESENTATION OF A DIFFRACTED WAVE FIELD BY THE BAND-LIMITED ANGULAR SPECTRUM

被引:3
作者
SHONO, Y
INUZUKA, T
机构
关键词
LIGHT; -; Diffraction;
D O I
10.1364/JOSA.68.001579
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A spherical wave field is exactly represented by the angular spectrum of the plane waves with the limited bandwidth. It is given by superposing the minimum amount of plane waves which really contribute to the wave field. This representation is reduced to the circular plane-wave (CPW) expansion with a good approximation, if a distance from the source to an observation point is larger than a few wavelengths. The band-limited angular spectrum representation of the diffracted wave field is also obtained from the Fresnel-Kirchhoff diffraction formula by applying the CPW expansion of the spherical wave. The bandwidth is W equals 2(r//0 lambda )** minus **1**/**2 plus rho //m//a//xcos(k,n)/r//0 lambda left bracket (r//0 lambda )**1**/**2 greater than rho //m//a//x right bracket or W equals 2(r//0 lambda )** minus **1**/**2 left bracket (r//0 lambda ) VM GT TH rho //m//a//x+9,where r//0 is the distance from the center of the aperture to the observation point, and rho //m//a//x is half of the maximum of the linear dimension of the aperture.
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页码:1579 / 1586
页数:8
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