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
β¦ LIBER β¦
An Efficient Method for Band Structure Calculations in 2D Photonic Crystals
β Scribed by David C Dobson
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 127 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0021-9991
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β¦ Synopsis
An efficient method for band structure calculations in dielectric photonic crystals is presented. The method uses a finite element discretization coupled with a preconditioned subspace iteration algorithm. Numerical examples are presented which illustrate the behavior of the method.
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The paper describes an efficient finite element method for computing spectra of photonic and acoustic band-gap materials. In the photonic case only the scalar models are treated. The full vector model will be considered in the next publication.