A plane-wave expansion method based on the effective medium theory for calculating the band structure of a two-dimensional photonic crystal

摘要

A plane-wave expansion method based on the effective medium theory for calculating the band structure of a two-dimensional, photonic crystal is presented. Compared to two other plane-wave expansion, methods, the present method has, a faster convergence and advantage to calculate the band structure for complicated structures. Using the present fast method, a photonic crystal with a large complete bandgap, Deltaomega = 0.1111(pic/a) (a is the lattice constant) is found. The designed photonic crystal is formed by a triangular array of elliptic air holes in GaAs medium. (C) 2003 Elsevier Science B.V. All rights reserved. [References: 19]