Non-Gaussian error probability in optical soliton transmission

Falkovich, G.; Kolokolov, I.; Lebedev, V.; Mezentsev, V. and Turitsyn, S. (2004). Non-Gaussian error probability in optical soliton transmission. Physica D, 195 (1-2), pp. 1-28.

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 saddle-point 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 in-line (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 error-causing 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. © 2004 Elsevier B.V. All rights reserved.

Publication DOI: https://doi.org/10.1016/j.physd.2004.01.044
Divisions: Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied Sciences
Uncontrolled Keywords: error probability,non-Gaussian statistics,optical communication,soliton,Applied Mathematics,Statistical and Nonlinear Physics
Published Date: 2004-08-01

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