### 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 |
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Pages (from-to) | 4 |

Number of pages | 1 |

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

Volume | 64 |

Issue number | 6 |

DOIs | |

Publication status | Published - 26 Nov 2001 |

### Bibliographical note

©2001 American Physical Society. Statistics of interacting optical solitons. G. E. Falkovich, M. G. Stepanov, and S. K. Turitsyn. Phys. Rev. E 64, 067602 – Published 26 November 2001## Fingerprint Dive into the research topics of 'Statistics of interacting optical solitons'. Together they form a unique fingerprint.

## Cite this

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

*64*(6), 4. https://doi.org/10.1103/PhysRevE.64.067602