Rayleigh-Bloch Wave Expansions for Diffraction Gratings I.
Abstract
Plane diffraction gratings with period 2 pi lying in a strip 0 < y < h in the x,y-plane are studied. A Rayleigh Bloch (R-B) wave for a grating is the response Psi sub + (x,y,p,q) to a plane wave 1/2 pi exp(i(px-qy)) incident from y > h (p eta R, q > 0). The paper presents a construction of R-B 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1980
- Accession Number
- ADA084939
Entities
People
- Calvin H. Wilcox
Organizations
- University of Utah