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

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

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


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
Pages (from-to)163-184
Number of pages22
JournalJournal of Engineering Mathematics
Issue number1-2
Publication statusPublished - 1999

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Engineering


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