Two-Dimensional Electromagnetic Scattering by Lamellar Grating with a Defect

Abstract

This paper provides a novel formulation of electromagnetic scattering from a lamellar grating with a defect. The periodicity of structure is locally collapsed and the Floquet theorem cannot be directly applied. The pseudo-periodic Fourier transform is used to make the field components pseudo-periodic, and the scattering problem is formulated by the rigorous coupled-wave method with the use of Li's Fourier factorization rules.