Theory of two-dimensional magneto-photonic crystals using complex Fourier factorization

Abstract

The plane wave expansion method for calculating magneto-photonic crystals (MPCs) is modified via complex Fourier factorization whose basic principles are briefly explained. The new approach is used to simulate the photonic band structure of a two-dimensional MPC made as Bi:YIG rods arranged with square periodicity. The considerable improvement of the convergence properties is demonstrated for selected points of the bands. © 2010 IOP Publishing Ltd.