Scattering by an infinite homogenous anisotropic elliptic cylinder in terms of Mathieu functions and Fourier series

被引：18

作者：

Mao, Shi-Chun ^{[1
]}

Wu, Zhen-Sen ^{[1
]}

机构：

[1] Xidian Univ, Sch Sci, Xian 710071, Shaanxi, Peoples R China

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2008年 / 25卷 / 12期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1364/JOSAA.25.002925

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

An exact solution to the two-dimensional scattering properties of an anisotropic elliptic cylinder for transverse electric polarization is presented. The internal field in an anisotropie elliptic cylinder is expressed as integral representations of Mathieu functions and Fourier series. The coefficients of the series expansion are obtained by imposing boundary conditions on the anisotropic-free-space interface. A matrix is developed to solve the nonorthogonality properties of Mathieu functions at the interface between two different media. Numerical results are given for the bistatic radar cross section and the amplitude of the total magnetic field along the x and y axes. The result is in agreement with that available as expected when an elliptic cylinder degenerates to a circular one. (C) 2008 Optical Society of America

引用

页码：2925 / 2931

页数：7

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