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.


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.

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Divisions: Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied Sciences > Institute of Photonics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Uncontrolled Keywords: error probability,non-Gaussian statistics,optical communication,soliton,Applied Mathematics,Statistical and Nonlinear Physics
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Published Date: 2004-08-01
Authors: Falkovich, G.
Kolokolov, I.
Lebedev, V.
Mezentsev, V. ( 0000-0002-8415-1767)
Turitsyn, S. ( 0000-0003-0101-3834)


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