Volume 2, Issue 5, October 2013, Page: 51-60
Fourier-Bessel Analysis of Polar Space Symmetric Photonic Crystal; Resonator Modes and Heterostructure
Scott Ronald. Newman, Dept. of Electronics, Carleton University, Ottawa, Ontario Canada K1S 5B6
Robert Claude. Gauthier, Dept. of Electronics, Carleton University, Ottawa, Ontario Canada K1S 5B6
Received: Aug. 6, 2013;       Published: Sep. 20, 2013
DOI: 10.11648/j.optics.20130205.11      View  3201      Downloads  200
A Fourier-Bessel equivalent of the plane wave technique is employed to theoretically analyze a circular photonic crystal structure containing both radial and rotational periodicity. The presence of the 12-fold rotational symmetry in the dielectric profile results in a 12-times reduction in the order of the matrix diagonalized when cast using the Fourier-Bessel basis functions. In addition, the Fourier-Bessel technique is highly suited for extracting the localized modes as it can be tuned to solve for a particular mode order. The possibility of using the circular structure as the defect region of a hexagonal array is also examined by studying the localized states obtained in a heterostructure configuration.
Photonic Quasi-Crystal, Fourier-Bessel, Steady States, Heterostructure, Circular Symmetric Mode Solver, Eigenvalue Method
To cite this article
Scott Ronald. Newman, Robert Claude. Gauthier, Fourier-Bessel Analysis of Polar Space Symmetric Photonic Crystal; Resonator Modes and Heterostructure, Optics. Vol. 2, No. 5, 2013, pp. 51-60. doi: 10.11648/j.optics.20130205.11
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