This research was supported by NSF grant number DMS-9626567, AFOSR grant number F49620- 98-1-0005 and Alfred P. Sloan Research Fellowship.
Photonic crystals -- Structure -- Mathematical models, Finite element method, Fourier transformation
A method for computing band structures for three-dimensional photonic crystals is described. The method combines a mixed finite element discretization on a uniform grid with a fast Fourier transform preconditioner and a preconditioned subspace iteration algorithm. Numerical examples illustrating the behavior of the method are presented.
Dobson, David C.; Gopalakrishnan, Jay; and Pasciak, Joseph E., "An Efficient Method for Band Structure Calculations in 3D Photonic Crystals" (2000). Mathematics and Statistics Faculty Publications and Presentations. 77.
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, [VOL 161, ISSUE 2, July 2000] DOI: 10.1006/jcph.2000.6521