基于连通局部场法的非齐次亥姆霍兹方程二维紧凑模板

Hung-Wen Chang, Sin-Yuan Mu
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引用次数: 1

摘要

推广了用连通局部场法求解介电不连续Helmholtz方程半解析解的数值理论。利用两组局部平面波对沿介质界面的切向场进行了匹配。我们能够获得具有直界面的CLF细胞的二维紧凑类fd模板。并与其他高精度频域有限差分(FD-FD)方法进行了比较。在每个波长空间采样5个点时,紧凑的CLF-LPW推导系数在平面界面附近受到任意入射平面波的相对局部误差小于0.01%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Compact 2D stencils for inhomogeneous Helmholtz equation based on method of connected local fields
We extend the numerical theory of the method of connected local fields (CLFs) for obtaining semi-analytical solutions of Helmholtz equation with dielectric discontinuities. Using two sets of local plane waves we match the tangential fields along the dielectric interface. We are able to obtain 2D compact FD-like stencil for CLF cell with a straight interface. The results are then compared with other high-accuracy frequency-domain finite-difference (FD-FD) methods with ours. At five points per wavelength spatial sampling, compact CLF-LPW derived coefficients achieve less than .01% relative local error near a planar interface subjecting to an arbitrary incident plane wave.
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