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.