Yeojin Chung and Avner Peleg 2005 Nonlinearity 18 1555 doi:10.1088/0951-7715/18/4/007
Yeojin Chung and Avner Peleg
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We study the effects of a delayed Raman response on soliton collisions in optical fibre transmission systems with multiple frequency channels. We show that the propagation of a given soliton undergoing many collisions with solitons from other frequency channels is described by a perturbed stochastic nonlinear Schrödinger equation, in which the stochastic perturbative terms are due to collision induced amplitude and frequency changes. Using the adiabatic perturbation theory we find that the distribution function of the soliton amplitude is lognormal, i.e. strongly non-Gaussian. The frequency of the soliton is also found to be a random variable that is not self-averaging. The results of our extensive numerical simulations incorporating the technique of importance sampling are in very good agreement with the theoretical predictions.
42.65.Tg Optical solitons; nonlinear guided waves
78A60 Lasers, masers, optical bistability, nonlinear optics (See also 81V80)
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
Issue 4 (July 2005)
Received 8 September 2004, in final form 17 February 2005
Published 8 April 2005
Yeojin Chung and Avner Peleg 2005 Nonlinearity 18 1555
Patrick J Sutton et al 2003 Class. Quantum Grav. 20 S815
Steven H. Pravdo and Stuart B. Shaklan 2009 ApJ 700 623
Jacob L. Bean et al. 2010 ApJ 711 L19
Lydia B Austin and Bruce M Shore 1995 Phys. Educ. 30 41
A M Akulshin et al 2004 J. Opt. B: Quantum Semiclass. Opt. 6 491
B A Aničin 2008 Eur. J. Phys. 29 15
S D Kirby et al 2007 J. Phys. D: Appl. Phys. 40 1161
John Houghton 2005 Rep. Prog. Phys. 68 1343
Nina Jansen et al 2003 Class. Quantum Grav. 20 51