546 3次元Maxwell方程式直交異方性周期境界値問題における高速多重極境界要素法(OS12.境界要素法の高度化と最新応用(2),オーガナイズドセッション)

概要

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This presentation discusses an FMM (Fast Multipole Method) for orthotropic periodic boundary value problems for Maxwell's equations in 3D. We consider scattering problems where metallic or dielectric scatters are aligned periodically with different periodic lengths in two orthogonal directions. The multipole and local expansions of the periodic Green function are used for accelerating the solution of the integral equations. We derive Fourier integral expressions for the periodic Green function and its derivatives, which are essential ingredients in our formulation. The cells used in the proposed FMM are not cubic because all the cells in the FMM tree are geometrically similar to the unit cell of the periodic structure. We show modifications required to the FMM algorithm for introducing non-cubic cells. Through numerical tests we conclude that the proposed method is efficient and accurate.
一般社団法人日本機械学会の論文
2008-11-01