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Advances in Mathematical Physics
Volume 2014 (2014), Article ID 180656, 7 pages
http://dx.doi.org/10.1155/2014/180656
Research Article

Description of Dispersive Wave Emission and Supercontinuum Generation in Silicon Waveguides Using Split-Step Fourier and Runge-Kutta Integration Methods

School of Science, Xi’an University of Post & Telecommunications, Xi’an 710121, China

Received 6 January 2014; Accepted 2 March 2014; Published 27 March 2014

Academic Editor: Boris G. Konopelchenko

Copyright © 2014 Xuefeng Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Based on solving numerically the generalized nonlinear Schrödinger equation describing the propagation of high order femtosecond soliton in silicon waveguide under certain parametric conditions by the split-step Fourier and Runge-Kutta integration methods, dispersive wave emission and supercontinuum generation in silicon waveguides are numerically investigated by propagating femtosecond solitons. The numerical results show that the efficient dispersive wave emission can be generated in silicon waveguide, which plays an important role in the process of the supercontinuum generation with the form of Cherenkov radiation, and it is also shown that the high order low-energy solitons and short waveguides are efficient for the dispersive wave emission.