Elliptic and Parabolic Equations - Abstract
Schmidt, Gunther
The talk is devoted to the scattering of a plane wave obliquely illuminating a periodic structure. Maxwell's equations can be transformed to a transmission problem for a system of Helmholtz equations with piecewise continuous complex-valued coefficients. Using integral equation techniques we study the existence and uniqueness of solutions under general assumptions on material parameters. In particular, new results for materials with negative permittivity or permeability are established.