Two-dimensional Bragg resonator with nonperiodic radial and angular perturbation of parameters

Abstract

The reflection and angular-mode transformation of electromagnetic waves propagating in a medium with small two-dimensional quasi-periodic inhomogeneity are theoretically considered. Using a complex form of the asymptotic method of Krylov, Bogoliubov and Mitropolsky (1961), expressions for the coupling coefficients of the propagating waves are derived. The existence of "Brewster radius" in the Bragg phenomenon is discovered for the case of TE waves in a medium with periodic perturbation of permeability. Radial distributions of complex amplitudes are numerically computed.