NonGaussian error probability in optical soliton transmission
Abstract
We find the probability distribution of the fluctuating parameters of a soliton propagating through a medium with additive noise. Our method is a modification of the instanton formalism (method of optimal fluctuation) based on a saddlepoint approximation in the path integral. We first solve consistently a fundamental problem of soliton propagation within the framework of noisy nonlinear Schrödinger equation. We then consider model modifications due to inline (filtering, amplitude and phase modulation) control. It is examined how control elements change the error probability in optical soliton transmission. Even though a weak noise is considered, we are interested here in probabilities of errorcausing large fluctuations which are beyond perturbation theory. We describe in detail a new phenomenon of soliton collapse that occurs under the combined action of noise, filtering and amplitude modulation.
 Publication:

Physica D Nonlinear Phenomena
 Pub Date:
 August 2004
 DOI:
 10.1016/j.physd.2004.01.044
 Bibcode:
 2004PhyD..195....1F
 Keywords:

 Soliton;
 NonGaussian statistics;
 Error probability;
 Optical communication