The multiple-scale averaging and dynamics of dispersion-managed optical solitons

Tian Shiang Yang*, William L. Kath, Sergei K. Turitsyn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Multiple-scale averaging is applied to the nonlinear Schrödinger equation with rapidly varying coefficients, the results are used to analyze pulse propagation in an optical fiber when a periodic dispersion map is employed. The effects of fiber loss and repeated amplification are taken into account by use of a coordinate transformation to relate the pulse dynamics in lossy fibers to that in equivalent lossless fibers. Second-order averaaing leads to a general evolution equation that is applicable to both return-to-zero (soliton) and non-return-tozero encoding schemes. The resulting equation is then applied to the specific case of solitons, and an asymptotic theory for the pulse dynamics is developed. Based upon the theory, a simple and effective design of two-step dispersion maps that are advantageous for wavelength-division-multiplexed soliton transmission is proposed. The use of these specifically designed dispersion maps allows simultaneous minimization of dispersive radiation in several different channels.

Original languageEnglish (US)
Pages (from-to)163-184
Number of pages22
JournalJournal of Engineering Mathematics
Volume36
Issue number1-2
DOIs
StatePublished - Jan 1 1999

Keywords

  • Dispersion
  • Fiber optics
  • Management
  • Multiple scales
  • Nonlinear schrödinger equation
  • Solitons

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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