EFFICIENT CALCULATION OF THE FREE-SPACE PERIODIC GREEN-FUNCTION

被引:93
作者
JORGENSON, RE [1 ]
MITTRA, R [1 ]
机构
[1] UNIV ILLINOIS,DEPT ELECT & COMP ENGN,ELECTROMAGNET COMMUN LAB,URBANA,IL 61801
关键词
D O I
10.1109/8.53491
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Electromagnetic scattering from periodic structures may be formulated in terms of an integral equation that has as its kernel a periodic Green's function. The periodic Green's function may be derived from two points of view: as a response to an array of line/point sources (spatial domain) or as a response to a series of current sheets (spectral domain). These responses are a Fourier transform pair and are slowly convergent summations. The convergence problems in each domain arise from unavoidable singularities in the reciprocal domain. A method is discussed to overcome the slow convergence by using the Poisson summation formula and summing in a combination of spectral and spatial domains. A parameter study is performed to determine an optimum way to weight the combination of domains. Simple examples of scattering from a one-dimensional array of strips and two-dimensional array of plates are used to illustrate the concepts. © 1990 IEEE
引用
收藏
页码:633 / 642
页数:10
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