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Proceedings Paper

Spectral methods for 2D photonic band structures
Author(s): Mi-Sun Min; Q. Y. Chen; Y. Maday
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Paper Abstract

We consider Maxwell's equations in two-dimensional periodic dielectric media cast as an eigenvalue problem Multidomain spectral methods are applied in order to compute spectrally accurate eigenfrequencies, which provide the band structures of the photonic crystals. The domain is divided into subdomains whose interfaces include the edges of the different media so that the analytic solution of the eigenproblem is infinitely smooth in each subdomain. This promises that the multidomain spectral approximations perform the exponential rate of convergence to the analytic solution. The band structure calculations are carried out for simple domain structures, and their results are demonstrated.

Paper Details

Date Published: 9 July 2004
PDF: 8 pages
Proc. SPIE 5360, Photonic Crystal Materials and Devices II, (9 July 2004); doi: 10.1117/12.529767
Show Author Affiliations
Mi-Sun Min, Argonne National Lab. (United States)
Q. Y. Chen, Brown Univ. (United States)
Y. Maday, Univ. Paris VI (France)


Published in SPIE Proceedings Vol. 5360:
Photonic Crystal Materials and Devices II
Ali Adibi; Axel Scherer; Shawn-Yu Lin, Editor(s)

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