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Fourier-Bessel Analysis of Polar Space Symmetric Photonic Crystal; Resonator Modes and Heterostructure
Optics
Volume 2, Issue 5, October 2013, Pages: 51-60
Received: Aug. 6, 2013; Published: Sep. 20, 2013
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Authors
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
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Abstract
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.
Keywords
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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