### Abstract

We examine statistics of two interacting optical solitons and describe timing jitter caused by spontaneous emission noise and enhanced by pulse interaction. Dynamics of phase difference is shown to be of crucial importance in determining the probability distribution function (PDF) of the distance between solitons. We find analytically the non-Gaussian tail of the PDF to be exponential. The propagation distance that corresponds to a given bit-error rate is described as a function of system parameters (filtering and noise level), initial distance, and initial phase difference between solitons. We find the interval of parameters where a larger propagation distance can be achieved for higher density of information.

Original language | English (US) |
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Number of pages | 1 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 64 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

### Cite this

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*64*(6). https://doi.org/10.1103/PhysRevE.64.067602

**Statistics of interacting optical solitons.** / Falkovich, G. E.; Stepanov, Mikhail; Turitsyn, S. K.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 64, no. 6. https://doi.org/10.1103/PhysRevE.64.067602

}

TY - JOUR

T1 - Statistics of interacting optical solitons

AU - Falkovich, G. E.

AU - Stepanov, Mikhail

AU - Turitsyn, S. K.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - We examine statistics of two interacting optical solitons and describe timing jitter caused by spontaneous emission noise and enhanced by pulse interaction. Dynamics of phase difference is shown to be of crucial importance in determining the probability distribution function (PDF) of the distance between solitons. We find analytically the non-Gaussian tail of the PDF to be exponential. The propagation distance that corresponds to a given bit-error rate is described as a function of system parameters (filtering and noise level), initial distance, and initial phase difference between solitons. We find the interval of parameters where a larger propagation distance can be achieved for higher density of information.

AB - We examine statistics of two interacting optical solitons and describe timing jitter caused by spontaneous emission noise and enhanced by pulse interaction. Dynamics of phase difference is shown to be of crucial importance in determining the probability distribution function (PDF) of the distance between solitons. We find analytically the non-Gaussian tail of the PDF to be exponential. The propagation distance that corresponds to a given bit-error rate is described as a function of system parameters (filtering and noise level), initial distance, and initial phase difference between solitons. We find the interval of parameters where a larger propagation distance can be achieved for higher density of information.

UR - http://www.scopus.com/inward/record.url?scp=85035249896&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85035249896&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.64.067602

DO - 10.1103/PhysRevE.64.067602

M3 - Article

AN - SCOPUS:84983708325

VL - 64

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 6

ER -