title: Fourier-Bessel analysis of localized states and photonic bandgaps in 12-fold photonic quasi-crystals.
abstract: A Fourier-Bessel (FB) basis is used to solve two-dimensional (2D) cylindrical Maxwell's equations for localized states within dielectric structures that possess rotational symmetry. The technique is used to determine the wavelengths and profiles of the stationary states supported by the structure and identify the bandgaps. 12-fold quasi-crystals for the TE and TM polarizations are analyzed. Since the FB approach with 2D photonic crystals in this fashion is new, the accuracy of the results is confirmed using finite-difference time-domain simulations.
authors.affiliation: Department of Electronics, Carleton University, 1125 Colonel By Drive, Ontario K1S 5B6, Canada. snewman@doe.carleton.ca
authors.forename: Scott R
authors.initials: SR
authors.lastname: Newman
authors.forename: Robert C
authors.initials: RC
authors.lastname: Gauthier