Asymptotic breathing pulse in optical transmission systems with dispersion compensation

Ildar R Gabitov, Elena G. Shapiro, Sergei K. Turitsyn

Research output: Contribution to journalArticle

90 Citations (Scopus)

Abstract

We study a nonlinear process of the formation of a breathing solitary wave in the optical transmission systems with periodic amplification and dispersion compensation. Results of our numerical simulations demonstrate remarkably stable asymptotic propagation of such breathing pulse over long distances. We have derived approximate equations describing pulse amplitude and width oscillations and found that results obtained by this approach are in good agreement with the results of direct numerical modeling on the short and middle distances. It is shown that asymptotic averaged pulses have a form typically close to a Gaussian shape. We have found numerically that an input pulse evolves asymptotically into a stable breathing structure. After the first stage of propagation, the input pulse emits radiation that spreads due to dispersion. The asymptotic structure that is formed realizes a balance between the main pulse and the radiative tail.

Original languageEnglish (US)
Pages (from-to)3624-3633
Number of pages10
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number3 SUPPL. B
StatePublished - Mar 1997
Externally publishedYes

Fingerprint

Dispersion Compensation
breathing
pulses
propagation
Propagation
pulse amplitude
Nonlinear Process
Numerical Modeling
Solitary Waves
pulse duration
Amplification
solitary waves
Tail
oscillations
Radiation
Oscillation
radiation
Numerical Simulation
simulation
Demonstrate

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Asymptotic breathing pulse in optical transmission systems with dispersion compensation. / Gabitov, Ildar R; Shapiro, Elena G.; Turitsyn, Sergei K.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, No. 3 SUPPL. B, 03.1997, p. 3624-3633.

Research output: Contribution to journalArticle

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