Statistics of interacting optical solitons

G. E. Falkovich, Mikhail Stepanov, S. K. Turitsyn

Research output: Contribution to journalArticle

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 languageEnglish (US)
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume64
Issue number6
DOIs
StatePublished - Jan 1 2001
Externally publishedYes

Fingerprint

Optical Solitons
solitary waves
statistics
Statistics
probability distribution functions
Phase Difference
Probability Distribution Function
Solitons
Propagation
propagation
Jitter
bit error rate
spontaneous emission
Error Rate
Tail
Timing
Filtering
time measurement
intervals
vibration

ASJC Scopus subject areas

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

Cite this

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

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 64, No. 6, 01.01.2001.

Research output: Contribution to journalArticle

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