A finite-difference eigenvalue algorithm for calculating the band structure of a photonic crystal

Linfang Shen, Sailing He*, Sanshui Xiao

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

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.

Original languageEnglish
Article number2356
JournalComputer Physics Communications
Volume143
Issue number3
Pages (from-to)213-221
ISSN0010-4655
DOIs
Publication statusPublished - 2002
Externally publishedYes

Keywords

  • Algorithm
  • Band structure
  • Eigenvalue problem
  • Finite difference
  • Photonic crystal

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