An isogeometric boundary element method for three-dimensional doubly-periodic layered structures in electromagnetics

Toru Takahashi, Tetsuro Hirai, Hiroshi Isakari, Toshiro Matsumoto

研究成果: Article査読

抄録

This paper proposes an isogeometric boundary element method (IGBEM) to solve the electromagnetic scattering problems for three-dimensional doubly-periodic multi-layered structures. The main concerns are the constructions of (i) an open surface (between two layers) and (ii) a vector basis function with using the B-spline functions. Regarding (i), we considered an algorithm to generate a doubly-periodic open surface with the tensor product of the B-spline functions of any degree. Regarding (ii), we employed the vector basis function based on the B-spline functions, which was proposed by Buffa et al. (2010), and adapted it to the underlying periodic problems so that it can satisfy the quasi-periodic condition on the boundary of an open surface. The proposed IGBEM worked for solving some numerical examples satisfactorily and proved the applicability to plasmonic simulations.

本文言語English
ページ(範囲)37-54
ページ数18
ジャーナルEngineering Analysis with Boundary Elements
136
DOI
出版ステータスPublished - 2022 3月
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 工学(全般)
  • 計算数学
  • 応用数学

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