Subscribe

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

ILCPA > Volume 24 > Simulation of Two Dimensional Photonic Band Gaps
Simulation of Two Dimensional Photonic Band Gaps
< Back to Volume

Simulation of Two Dimensional Photonic Band Gaps

Full Text PDF

Abstract:

The plane wave expansion method was implemented in modelling and simulating the band structures of two dimensional photonic crystals with square, triangular and honeycomb lattices with circular, square and hexagonal dielectric rods and air holes. Complete band gaps were obtained for square lattice of square GaAs rods and honeycomb lattice of circular and hexagonal GaAs rods as well as triangular lattice of circular and hexagonal air holes in GaAs whereas square lattice of square or circular air holes in a dielectric medium ε = 18 gave complete band gaps. The variation of these band gaps with dielectric contrast and filling factor gave the largest gaps for all configurations for a filling fraction around 0.1.The gap maps presented indicated that TM gaps are more favoured by dielectric rods while TE gaps are favoured by air holes. The geometrical gap maps operating at telecommunication wavelength λ = 1.55 μm showed that a complete band gap can be achieved for triangular lattice with circular and hexagonal air holes in GaAs and for honeycomb lattice of circular GaAs rods.

Info:

Periodical:
International Letters of Chemistry, Physics and Astronomy (Volume 24)
Pages:
58-88
DOI:
https://doi.org/10.18052/www.scipress.com/ILCPA.24.58
Citation:
S.E. Dissanayake and K.A.I.L. Wijewardena Gamalath, "Simulation of Two Dimensional Photonic Band Gaps", International Letters of Chemistry, Physics and Astronomy, Vol. 24, pp. 58-88, 2014
Online since:
December 2013
Authors:
S.E. Dissanayake, K.A.I.L. Wijewardena Gamalath
Keywords:
Dielectric Contrast, Filling Fraction, GaAs, Gap Maps, Honeycomb Lattice, Lane Wave Expansion, Mode Field Distribution, Photonic Crystal, Square Lattice, Triangular Lattice
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

[1] J. W. S. Rayleigh, Phil. Mag. 26 (1988) 256-265.

[2] V. P. Bykov, Sov. Phys. JETP 35 (1972) 269-273.

[3] E. Yablonovich, Phys. Rev. Lett. 58 (1987) 2059-(2062).

[4] S. John, Phys. Rev. Lett. 58 (1987) 2486-2489.

[5] K. M. Ho, C. T Chang, C. M. Soukoulis, Phys. Rev. Lett. 65 (1990) 3152-3155.

[6] S. C. Johnson, J. D. Joannopoulos, Opt. Express 8 (2001) 173-190; J. D. Joannopolus, S.C. Johnson J.N. Winn, R.D. Meade, Photonic Crystals: Modeling the flow of light, Princeton University Press, (2008) Chapter 5, pp.66-72.

[7] K. Skoda, Phys. Rev. B. 52 (1995) 8992-9002.

[8] D. Labilloy D. Labilloy, H. Benisty, C. Weisbuch, T. F Krauss, R. M. De La Rue, V. Bardinal, R. Houdré, U. Oesterle, D. Cassagne, C. Jouanin, Phys. Rev. Lett. 79 (1997) 4147-4150.

DOI: https://doi.org/10.1103/physrevlett.79.4147

[9] H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M De La Rue, R. Houdré, U. Oesterle, C. Jouanin, D. Cassagne, Journal of Lightwave Technology 17 (1999) 2063-(2076).

DOI: https://doi.org/10.1109/50.802996

[10] M. Philal, A. A. Maradudin, Phys. Rev. B 44 (1991) 8565–8571.

[11] P. R. Villenuve, M. Piche, Phys. Rev. B 46 (1992) 4973-4975.

[12] Pi-Gang Luan, Zhen Ye, Two Dimensional Photonic crystals (2001), arXiv: cond-mat/0105428. 0. (Received 09 December 2013; accepted 16 December 2013).

Show More Hide