Journal of the Korean Physical Society

pISSN 0374-4884 eISSN 1976-8524


Published online October 15, 2007

Copyright © The Korean Physical Society.

Modeling of 2D Photonic Crystals with a Boundary Integral Equation

Min Hyung Cho, Y. P. Lee and Wei Cai

J. Korean Phys. Soc. 51(9(4)), 1507 - 1512 (2007)


A boundary integral equation for two-dimensional (2D) photonic crystals, which is based on the Green's function of the 2D scalar Helmholtz equation and Huygen's principle, is formulated, discretized with the Nystr"{o}m method, and solved with generalized minimal residuals (GMRES). In order to validate the accuracy of the method, the scattering of the plane wave by a single cylinder is calculated and compared with the analytical solution. Then, the simulation is extended to the multiple rods with various configurations.

Keywords: Photonic crystal, Maxwell's equation, Helmholtz equation, Integral equation, Numerical analysis

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