Study of Photonic Crystal Band Gap and Hexagonal Microcavity Based on Elliptical Shaped Holes
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Study of Photonic Crystal Band Gap and Hexagonal Microcavity Based on Elliptical Shaped Holes

Authors: A. Benmerkhi, A. Bounouioua, M. Bouchemat, T. Bouchemat


In this paper, we present a numerical optical properties of a triangular periodic lattice of elliptical air holes. We report the influence of the ratio (semi-major axis length of elliptical hole to the filling ratio) on the photonic band gap. Then by using the finite difference time domain (FDTD) algorithm, the resonant wavelength of the point defect microcavities in a two-dimensional photonic crystal (PC) shifts towards the low wavelengths with significantly increased filing ratio. It can be noted that the Q factor is gradually changed to higher when the filling ratio increases. It is due to an increase in reflectivity of the PC mirror. Also we theoretically investigate the H1 cavity, where the value of semi-major axis (Rx) of the six holes surrounding the cavity are fixed at 0.5a and the Rx of the two edge air holes are fixed at the optimum value of 0.52a. The highest Q factor of 4.1359 × 106 is achieved at the resonant mode located at λ = 1.4970 µm.

Keywords: Photonic crystal, microcavity, filling ratio, elliptical holes.

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[1] J.D. Joannopoulos, R.D. Meade and J.N. Winn, “Photonic Crystals, Molding the Flow of Light Princeton,” NJ: Princeton University Pres (1995).
[2] S. Noda, M. Yokoyama, M. Imada, A. Chutinan, and M. Mochizuki, “Polarization mode control of two-dimensional photonic crystal laser by unit cell structure design,” Science 293, 1123–1125, 2001.
[3] M. Loncar, D. Nedeljkovic, T. Doll, J. Vuckovic, A. Scherer and T.P. Pearsall, “Waveguiding in planar photonic crystals,” Appl. Phys. Lett. 77, 1937–1939, 2000.
[4] J. Vuckovic, M. Loncar, H. Mabuchi, A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016608-1, 2001.
[5] A. Benmerkhi, M. Bouchemat and T. Bouchemat, “Ultrahigh-Q of the L3 photonic crystal microcavity,” Optik - Int. J. Light Electron Opt. vol. 124, N°22, p.5719-5722, 2013.
[6] Sportiello, D.; Sibilia, C.; Felbacq, D.; D'Aguanno, G.; Centini, M.; Settimi, A.; Bertolotti, M.; “Density of modes for 2D finite photonic crystal structures”, Journal of Optics A, pp.669- 670, 2003.
[7] Wan G Chong, Pen G Tongjiang, Duan Tao, ”Study on Computational Method of Two dimensional Photonic Crystal Band Gap”, Materials Guide, Vol. 23, Issue 9, pp. 93-96, september 2009.
[8] Y. Kalra, R K Sinha, "Photonic band gap engineering in 2D photonic crystals", Pramana J. Phys., Vol. 67, No. 6, December 2006.
[9] A. Benmerkhi, M. Bouchemat and T. Bouchemat, “Improved sensitivity of the photonic crystal slab biosensors by using elliptical air holes," Optik - Int. J. Light Electron Opt. Vol.127, N°14, p.5682-5687, March 2016. .
[10] A. Benmerkhi, M. Bouchemat and T. Bouchemat, “Influence of elliptical shaped holes on the sensitivity and Q factor in 2D photonic crystals sensor," Photonics and Nanostructures Fundamentals and applications, vol. 20, p.7-17, March 2016.
[11] M. Qiu, B. Jaskorzynska, A design of a channel drop filter in a two-dimensionaltriangular photonic crystal, Appl. Phys. Lett. 83, 1074–1076, 2003.
[12] M. Qiu, Effective index method for heterostructure-slab-waveguide-based two dimensional photonic crystals, Appl. Phys. Lett. 81, 1163–1165, 2002.
[13] The FDTD simulations were carried out with Fullwave commercial software by RSoft Design Group, version 6.1, license 16847214
[14] Christelle Monat, « Ilot quantiques et cristaux photoniques planaires pour un microlaser faible seuil à 1.5um », doctorat thesis, Ecole centrale de Lyon, September 2003.