Modified Rayleigh Conjecture for scattering by periodic structures
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
This paper contains a self-contained brief presentation of the scattering theory for periodic structures. Its main result is a theorem (the Modified Rayleigh Conjecture, or MRC), which gives a rigorous foundation for a numerical method for solving the direct scattering problem for periodic structures. A numerical example illustrating the procedure is presented.
Keywords
Cite
@article{arxiv.math/0404435,
title = {Modified Rayleigh Conjecture for scattering by periodic structures},
author = {A. G. Ramm and S. Gutman},
journal= {arXiv preprint arXiv:math/0404435},
year = {2025}
}