Journal
COMPUTER PHYSICS COMMUNICATIONS
Volume 143, Issue 3, Pages 213-221Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0010-4655(01)00456-8
Keywords
photonic crystal; band structure; algorithm; eigenvalue problem; finite difference
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A new method based on a finite difference of the governing differential equation for the eigenvalue problem is introduced to calculate the band structure of a two-dimensional photonic crystal. The effective medium technique is also used in the method. The problem is reduced to a standard matrix eigenvalue problem. Compared to the conventional plane wave expansion method, the present method improves the convergence of the solution and thus is a fast and accurate algorithm for calculating the band structure of a photonic crystal. (C) 2002 Elsevier Science B.V. All rights reserved.
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