Scattering and propagation in finite photonic crystals with complex material filling

Abstract

The method of auxiliary sources (MAS) is used to study doped finite photonic crystals (FPC) with anisotropic, chiral or other complex material inclusions. The primitive cells of FPC are supposed to have a given crystallographic structure with certain defects, such as extrinsic inclusions, vacancies, dislocations and so on. An effective solution to the wave propagation and scattering problems in such crystals is obtained, an original treatment of eigenvalue and eigenfield problems in application to FPC is presented, and the FPC band structure is calculated, taking account of inter-cell interactions. A new computer code to analyze radiation, scattering, absorption and energetic characteristics of the doped FPC is described, and its possibilities for the design of integrated optic devices are demonstrated.