Document Type

Article

Publication Date

2003

DOI

10.1364/OE.11.000167

Publication Title

Optics Express

Volume

11

Issue

2

Pages

167-175

Abstract

A simple implementation of plane wave method is presented for modeling photonic crystals with arbitrary shaped ‘atoms’. The Fourier transform for a single ‘atom’ is first calculated either by analytical Fourier transform or numerical FFT, then the shift property is used to obtain the Fourier transform for any arbitrary supercell consisting of a finite number of ‘atoms’. To ensure accurate results, generally, two iterating processes including the plane wave iteration and grid resolution iteration must converge. Analysis shows that using analytical Fourier transform when available can improve accuracy and avoid the grid resolution iteration. It converges to the accurate results quickly using a small number of plane waves. Coordinate conversion is used to treat non-orthogonal unit cell with non-regular ‘atom’ and then is treated by standard numerical FFT.

Comments

"Optics Express, Optical Materials Express, Biomedical Optics Express, Optica, and OSA Continuum are all open access journals, which means that all content is freely available without charge to the user or his/her institution. Beginning in September 2017, users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the author. This is in accordance with the BOAI definition of open access."

Original Publication Citation

Guo, S., & Albin, S. (2003). Simple plane wave implementation for photonic crystal calculations. Optics Express, 11(2), 167-175. doi:10.1364/OE.11.000167

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