On the O(1) solution of multiple-scattering problems

Author

Geuzaine, Christophe ; Bruno, Oscar ; Reitich, Fernando

Author_Institution

Dept. of Appl. & Comput. Math., California Inst. of Technol., Pasadena, CA, USA

Volume

41

Issue

5

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

1488

Lastpage

1491

Abstract

In this paper, we present a multiple-scattering solver for nonconvex geometries such as those obtained as the union of a finite number of convex surfaces. For a prescribed error tolerance, this algorithm exhibits a fixed computational cost for arbitrarily high frequencies. At the core of the method is an extension of the method of stationary phase, together with the use of an ansatz for the unknown density in a combined-field boundary integral formulation.

Keywords

boundary integral equations; computational electromagnetics; electromagnetic wave scattering; boundary integral equations; combined-field boundary integral formulation; convex surface; error tolerance; high-frequency methods; multiple-scattering solver; nonconvex geometries; spectral methods; wave scattering; Computational complexity; Computational efficiency; Frequency; Green function; Integral equations; Kernel; Optical surface waves; Scattering; Surface waves; Wavelength conversion; Wave scattering; boundary integral equations; high-frequency methods; spectral methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2005.844567

Filename

1430891