Wave Propagation in Periodic Media

Book Series: Progress in Computational Physics (PiCP)

Volume 1

by

Matthias Ehrhardt

DOI: 10.2174/97816080515021100101
eISBN: 978-1-60805-150-2, 2010
ISBN: 978-1-60805-383-4
ISSN: 1879-4661 (Print)



Indexed in: EBSCO, Ulrich's Periodicals Directory.

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Computational Methods for Multiple Scattering at High Frequency with Applications to Periodic Structure Calculations

- Pp. 73-107 (35)

X. Antoine, C. Geuzaine and K. Ramdani

Abstract

The aim of this paper is to explain some recent numerical methods for solving high-frequency scattering problems. Most particularly, we focus on the multiple scattering problem where rays are multiply bounced by a collection of separate objects. We review recent developments for three main families of approaches: Fourier series based methods, Partial Differential Equations approaches and Integral Equations based techniques. Furthermore, for each of these three families of methods, we present original procedures for solving the high-frequency multiple scattering problem. Computational examples are given, in particular for finite periodic structures calculations. Difficulties for solving such problems are explained, showing that many serious simulation problems are still open.

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