Finite-Difference Time-Domain Simulation of Light Propagation in 2D Periodic and Quasi-Periodic Photonic Structures

Document Type: Research Paper

Authors

1 Islamic Azad University of Hadishahr, Hadishahr, Iran , Belarusian State University, Nezavisimostiave. 4, 220030 Minsk, Belarus

2 Belarusian State University, Nezavisimostiave. 4, 220030 Minsk, Belarus

10.7508/jns.2013.03.012

Abstract

Ultra-short pulse is a promising technology for achieving ultra-high data rate transmission which is required to follow the increased demand of data transport over an optical communication system. Therefore, the propagation of such type of pulses and the effects that it may suffer during its transmission through an optical waveguide has received a great deal of attention in the recent years. We provide an overview of recent theoretical developments in a numerical modeling of Maxwell's equations to analyze the propagation of short laser pulses in photonic structures. The process of short light pulse propagation through 2D periodic and quasi-periodic photonic structures is simulated based on Finite-Difference Time-Domain calculations of Maxwell’s equations.

Keywords


[1] A. Taflove, S.C. Hagness, “Computational Electrodynamics: the Finite-Difference Time-Domain Method”, 2000, Norwood, MA: Artech.

[2] K. Kawano, T. Kitoh, “Introduction to Optical Waveguide Analysis: Solving Maxwell’s Equations and the Schrödinger Equation”, 2001, John Willey and Sons, Inc.

[3] J.D. Joannopoulos, S.G. Johnson, J.N. Winn, R.D. Meade, “Photonic Crystals: Molding the Flow of Light”, 2008, Princeton University Press.

[4] A.L. Jones, J. Opt. Soc. Am. 55 (3) (1965) 261.

[5] S. Somekh, E. Garmire, A. Yariv, H.L. Garvin, R.G. Hunsperger, Appl. Phys Lett. 22 (1) (1973) 46–47.

[6] J.D. Joannopoulos, P.R. Villeneuve, S.H. Fan, Nature 386 (6621) (1997) 143–149.

[7] Y.V.Kartashov, B.A. Malomed, L. Torner, Rev. Modern Phys. 83 (1) (2011) 247–305.

[8] Y.V. Kartashov, V.A. Vysloukh, L. Torner, in: E. Wolf (Ed.), Progress in Optics, vol. 52, Elsevier,2009, pp. 63–148.

[9] Y.V. Kartashov, V.A. Vysloukh, L. Torner, Eur. Phys. J.-Spec. Top. 173 (2009) 87–105.

[10] S. Longhi, Laser Photonics Rev. 3 (3) (2009) 243–261.

[11] A. Szameit, S. Nolte, Journal of Physics B: Atomic, Molecular and Optical Physics 43 (16) (2010) 163001. URL: http://stacks.iop.org/0953-075/43/i=16/a=163001.

[12] O.G. Romanov, Bulletin of the Russian Academy of Sciences: Physics, 73 (2009) 1567.