Conical propagation of electromagnetic waves through an array of cylindrical inclusions

Abstract

This paper presents properties of electromagnetic waves propagating through a doubly periodic array of cylindrical channels in oblique incidence. A new method, based on a multipole scattering approach, has been proposed to reduce this spectral problem for partial differential equations to a certain algebraic problem of the Rayleigh-type. We also address the question of a singular perturbation induced by the conical incidence and discuss some effective properties for ferro-magnetic photonic crystal fibers in the long wavelength limit.