Non-Gaussian error probability in optical soliton transmission

G. Falkovich, I. Kolokolov, V. Lebedev, V. Mezentsev*, S. Turitsyn

*Corresponding author for this work

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)1-28
Number of pages28
JournalPhysica D
Volume195
Issue number1-2
Early online date2 Jul 2004
DOIs
Publication statusPublished - 1 Aug 2004

Fingerprint

Optical Solitons
Error Probability
Solitons
Amplitude Modulation
solitary waves
Amplitude modulation
modulation
Fluctuations
Noise Filtering
Saddlepoint Approximation
Phase Modulation
Additive Noise
Instantons
Curvilinear integral
Perturbation Theory
Additive noise
Phase modulation
Nonlinear Equations
Probability Distribution
Filtering

Keywords

  • error probability
  • non-Gaussian statistics
  • optical communication
  • soliton

Cite this

Falkovich, G. ; Kolokolov, I. ; Lebedev, V. ; Mezentsev, V. ; Turitsyn, S. / Non-Gaussian error probability in optical soliton transmission. In: Physica D. 2004 ; Vol. 195, No. 1-2. pp. 1-28.
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Non-Gaussian error probability in optical soliton transmission. / Falkovich, G.; Kolokolov, I.; Lebedev, V.; Mezentsev, V.; Turitsyn, S.

In: Physica D, Vol. 195, No. 1-2, 01.08.2004, p. 1-28.

Research output: Contribution to journalArticle

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T1 - Non-Gaussian error probability in optical soliton transmission

AU - Falkovich, G.

AU - Kolokolov, I.

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AU - Mezentsev, V.

AU - Turitsyn, S.

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AB - 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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