Title :
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
fDate :
5/1/2005 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2005.844567
