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Seydou F, Ramahi OM, Duraiswami R, et al. Numerical computation of the Green's function for two-dimensional finite-size photonic crystals of infinite length. Opt Express. 2006;14(23):11362-71doi: 10.1364/oe.14.011362.
Seydou, F., Ramahi, O. M., Duraiswami, R., & Seppänen, T. (2006). Numerical computation of the Green's function for two-dimensional finite-size photonic crystals of infinite length. Optics express, 14(23), 11362-71. https://doi.org/10.1364/oe.14.011362
Seydou, F, et al. "Numerical computation of the Green's function for two-dimensional finite-size photonic crystals of infinite length." Optics express vol. 14,23 (2006): 11362-71. doi: https://doi.org/10.1364/oe.14.011362
Seydou F, Ramahi OM, Duraiswami R, Seppänen T. Numerical computation of the Green's function for two-dimensional finite-size photonic crystals of infinite length. Opt Express. 2006 Nov 13;14(23):11362-71. doi: 10.1364/oe.14.011362. PMID: 19529554.
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Opt Express. 2006 Nov 13;14(23):11362-71. doi: 10.1364/oe.14.011362.

Numerical computation of the Green's function for two-dimensional finite-size photonic crystals of infinite length.

Optics express

F Seydou, Omar M Ramahi, Ramani Duraiswami, T Seppänen

PMID: 19529554 DOI: 10.1364/oe.14.011362

Abstract

We develop a numerical algorithm that computes the Green's function of Maxwell equation for a 2D finite-size photonic crystal, composed of rods of arbitrary shape. The method is based on the boundary integral equation, and a Nyström discretization is used for the numerical solution. To provide an exact solution that validates our code we derive multipole expansions for circular cylinders using our integral equation approach. The numerical method performs very well on the test case. We then apply it to crystals of arbitrary shape and discuss the convergence.

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