Modified Rayleigh Conjecture method for multidimensional obstacle scattering problems
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The Rayleigh conjecture on the representation of the scattered field in the exterior of an obstacle is widely used in applications. However this conjecture is false for some obstacles. AGR introduced the Modified Rayleigh Conjecture (MRC), and in this paper we present successful numerical algorithms based on the MRC for various 2D and 3D obstacle scattering problems. The 3D obstacles include a cube and an ellipsoid. The MRC method is easy to implement for both simple and complex geometries. It is shown to be a viable alternative for other obstacle scattering methods.
Cite
@article{arxiv.math-ph/0409047,
title = {Modified Rayleigh Conjecture method for multidimensional obstacle scattering problems},
author = {S. Gutman and A. G. Ramm},
journal= {arXiv preprint arXiv:math-ph/0409047},
year = {2007}
}
Comments
10pp