Spectral methods for 2D photonic band structures

Mi-Sun Min; Q. Y. Chen; Y. Maday

doi:10.1117/12.529767

9 July 2004 Spectral methods for 2D photonic band structures

Mi-Sun Min, Q. Y. Chen, Y. Maday

Proceedings Volume 5360, Photonic Crystal Materials and Devices II; (2004) https://doi.org/10.1117/12.529767
Event: Integrated Optoelectronic Devices 2004, 2004, San Jose, CA, United States

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.

Citation Download Citation

Mi-Sun Min, Q. Y. Chen, and Y. Maday "Spectral methods for 2D photonic band structures", Proc. SPIE 5360, Photonic Crystal Materials and Devices II, (9 July 2004); https://doi.org/10.1117/12.529767

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