Non-periodic acoustic and electromagnetic, scattering from periodic structures in 3D
type: Item
instance of: scholarly article
title: Non-periodic acoustic and electromagnetic, scattering from periodic structures in 3D
zbMATH Open document ID: 1401.78009
author: Armin Lechleiter
author: Ruming Zhang
publication date: 2018-09-11T00:00:00Z
review text: The research reported here is at the interface between scattering theory of non-periodic waves from unbounded structures and the Floquet-Bloch transform, which reduces the study to a family of decoupled periodic scattering problems. In the present paper, the authors analyze a corresponding fully discrete numerical solution algorithm for three-dimensional scattering problems in acoustics and electromagnetics. The main results establish convergence rates under suitable hypotheses on the geometry and the material coefficients. The authors are also interested in the continuous dependence of the family of solutions to the quasi-periodic scattering problems on the quasi-periodicity. In the final part, the authors provide a numerical example in 3D acoustics that illustrates the feasibility of the proposed algorithm.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 78A46
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 78M30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 6934563
zbMATH Keywords: non-periodic wave scattering
zbMATH Keywords: 3D surface scattering
zbMATH Keywords: Floquet-Bloch transform
zbMATH Keywords: acoustic scattering
zbMATH Keywords: electromagnetic scattering
MaRDI profile type: Publication
full work available at URL: j.camwa.2017.08.042
OpenAlex ID: W2756825441
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DOI: 10.1016/J.CAMWA.2017.08.042
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6934563