Analysis of band-gap characteristics of two-dimensional periodic structures using the source-model technique

Abstract

Summary form only given. Introduces a solution based on the source-model technique for periodic structures for the problem of electromagnetic scattering by a two-dimensional PBC (photonic bandgap crystal) slab illuminated by a TM (transverse magnetic) plane wave. The PBC slab is composed of a finite number of identical layers each comprising a linear periodic array of dielectric cylinders. The proposed solution uses fictitious current sources of yet to be determined amplitudes to simulate the fields in each of the different dielectric regions of which the PBC slab is composed. These amplitudes are in turn adjusted to fit the continuity conditions for the tangential components of the electric and magnetic fields at a selected set of points on the boundary between the different dielectric regions, within the unit cell of the periodic structure. The calculated transmitted and reflected power densities for different frequencies and for various angles of incidence of the implied incident wave demonstrate the existence of a frequency bandgap.