Modified Rayleigh conjecture for scattering by periodic structures

Alexander Ramm (1) , Semion Gutman (2)

1 Kansas State University
2 OU - University of Oklahoma

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.

Mots clés: scattering theory; MRC-modified Rayleigh conjecture; Periodic structures

Domaines: Acoustique [physics.class-ph]

Alexander Ramm, Semion Gutman. Modified Rayleigh conjecture for scattering by periodic structures. International Journal of Applied Mathematical Sciences, 2004, 1, pp.55-66. ⟨hal-00106407⟩