Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization
Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization
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DOI：
10.1364/josaa.22.001844
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发表时间：
2005-09-01
影响因子：
1.9
通讯作者：
Lalanne, P
中科院分区：
文献类型：
--
作者：
Hugonin, JP;Lalanne, P
提出了一种改进的麦克斯韦方程组公式，它包括沿沿着一个或两个笛卡尔坐标的复杂的非线性坐标变换。在修改后的麦克斯韦方程中增加的自由度允许将无限空间映射到有限空间，并指定允许满足传出波条件的分级完全匹配的吸收边界。该方法是通过使用傅里叶模态方法得到的数值结果进行验证，并显示出增强的收敛速度和精度。(c)2005年，美国光学学会。
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.