2021/04/27 by Toru Takahashi, Toru TAKAHASHI, Tetsuro Hirai +8
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Analysis Techniques #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #cs.CE #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.2105.00853
First revision submitted to the journal `Engineering Analysis with Boundary Elements'
arxiv created 2021/10/27 · arxiv updated 2021/10/28
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.