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.
| Published in | Optics (Volume 2, Issue 5) |
| DOI | 10.11648/j.optics.20130205.11 |
| Page(s) | 51-60 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2013. Published by Science Publishing Group |
Photonic Quasi-Crystal, Fourier-Bessel, Steady States, Heterostructure, Circular Symmetric Mode Solver, Eigenvalue Method
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APA Style
Scott Ronald. Newman, Robert Claude. Gauthier. (2013). Fourier-Bessel Analysis of Polar Space Symmetric Photonic Crystal; Resonator Modes and Heterostructure. Optics, 2(5), 51-60. https://doi.org/10.11648/j.optics.20130205.11
ACS Style
Scott Ronald. Newman; Robert Claude. Gauthier. Fourier-Bessel Analysis of Polar Space Symmetric Photonic Crystal; Resonator Modes and Heterostructure. Optics. 2013, 2(5), 51-60. doi: 10.11648/j.optics.20130205.11
AMA Style
Scott Ronald. Newman, Robert Claude. Gauthier. Fourier-Bessel Analysis of Polar Space Symmetric Photonic Crystal; Resonator Modes and Heterostructure. Optics. 2013;2(5):51-60. doi: 10.11648/j.optics.20130205.11
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Download@article{10.11648/j.optics.20130205.11,
author = {Scott Ronald. Newman and Robert Claude. Gauthier},
title = {Fourier-Bessel Analysis of Polar Space Symmetric Photonic Crystal; Resonator Modes and Heterostructure},
journal = {Optics},
volume = {2},
number = {5},
pages = {51-60},
doi = {10.11648/j.optics.20130205.11},
url = {https://doi.org/10.11648/j.optics.20130205.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.optics.20130205.11},
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.},
year = {2013}
}
TY - JOUR T1 - Fourier-Bessel Analysis of Polar Space Symmetric Photonic Crystal; Resonator Modes and Heterostructure AU - Scott Ronald. Newman AU - Robert Claude. Gauthier Y1 - 2013/09/20 PY - 2013 N1 - https://doi.org/10.11648/j.optics.20130205.11 DO - 10.11648/j.optics.20130205.11 T2 - Optics JF - Optics JO - Optics SP - 51 EP - 60 PB - Science Publishing Group SN - 2328-7810 UR - https://doi.org/10.11648/j.optics.20130205.11 AB - 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. VL - 2 IS - 5 ER -
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