Journal article
A finite-difference eigenvalue algorithm for calculating the band structure of a photonic crystal
Centre for Optical and Electromagnetic Research, State Key Laboratory for Modern Optical Instrumentation, Zhejiang University, Yu-Quan, Hangzhou 310027, PR China1
Division of Electromagnetic Theory, Alfven Laboratory, Royal Institute of Technology, S-100 44 Stockholm, Sweden2
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.
| Language: | English |
|---|---|
| Year: | 2001 |
| Pages: | 213-221 |
| ISSN: | 18792944 and 00104655 |
| Types: | Journal article |
| DOI: | 10.1016/S0010-4655(01)00456-8 |
