RayleighBloch wave expansions for diffraction gratings, 1
Abstract
Plane diffraction gratings with period 2 pi lying in a strip 0  y  h in the x,yplane are studied. A Rayleigh Bloch (RB) wave for a grating is the response Psi sub  (x,y,p,q) to a plane wave 1/2 pi exp(i(pxqy)) incident from y = h (p eta R, q = 0). The paper presents a construction of RB waves and a proof that (psi sub  (x,y,p,q)/p eta R, q = 0) is a complete orthogonal family in L(2)(G) in the sense of the Plancherel theory.
 Publication:

Unknown
 Pub Date:
 March 1980
 Bibcode:
 1980rbwe.reptR....W
 Keywords:

 Electromagnetic Scattering;
 Gratings (Spectra);
 Rayleigh Waves;
 Sound Waves;
 Surface Waves;
 Mathematical Models;
 Orthogonality;
 Communications and Radar