TY - JOUR
T1 - An isogeometric boundary element method for three-dimensional doubly-periodic layered structures in electromagnetics
AU - Takahashi, Toru
AU - Hirai, Tetsuro
AU - Isakari, Hiroshi
AU - Matsumoto, Toshiro
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Number 18K11335 . In addition, we would like to thank all the anonymous referees for their precious comments and suggestions.
Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2022/3
Y1 - 2022/3
N2 - 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.
AB - 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.
KW - Boundary element method
KW - Electromagnetics
KW - Isogeometric analysis
KW - Periodic problems
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U2 - 10.1016/j.enganabound.2021.11.020
DO - 10.1016/j.enganabound.2021.11.020
M3 - Article
AN - SCOPUS:85122329587
SN - 0955-7997
VL - 136
SP - 37
EP - 54
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
ER -