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.
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
Repository Citation
Guo, Shangping and Albin, Sacharia, "Simple Plane Wave Implementation for Photonic Crystal Calculations" (2003). Electrical & Computer Engineering Faculty Publications. 170.
https://digitalcommons.odu.edu/ece_fac_pubs/170
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."