Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization

被引:194
|
作者
Hugonin, JP [1 ]
Lalanne, P [1 ]
机构
[1] CNRS, Lab Charles Fabry, Inst Opt, F-91403 Orsay, France
关键词
D O I
10.1364/JOSAA.22.001844
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A modified formulation of Maxwell's equations is presented that includes a complex and nonlinear coordinate transform along one or two Cartesian coordinates. The added degrees of freedom in the modified Maxwell's equations allow one to map an infinite space to a finite space and to specify graded perfectly matched absorbing boundaries that allow the outgoing wave condition to be satisfied. The approach is validated by numerical results obtained by using Fourier-modal methods and shows enhanced convergence rate and accuracy. (c) 2005 Optical Society of America.
引用
收藏
页码:1844 / 1849
页数:6
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