A Fourier-Bessel Expansion Method Applied to Photonic Crystals and Photonic Quasi-Crystals

Scott R Newman; Robert C Gauthier

META 2021, META'12

Scott R Newman, Robert C Gauthier

Last modified: 2011-12-07

Abstract

Fourier-Bessel functions are used in a biorthonormal basis expansion of the TE Polarized Maxwell’s equations to numerically model photonic crystals, triangular lattice, and rotationally symmetric quasi-crystals, 12-fold. The technique provides both the wavelengths and field profile of states supported by the structures. These results are compared to literature and finite difference time domain simulations.

Keywords

Photonic Crystals, Photonic Quasi-Crystals