Journal of Engineering Mathematics

, Volume 36, Issue 1, pp 113–136

Application of multiple-length-scale methods to the study of optical fiber transmission

  • C. R. Menyuk

DOI: 10.1023/A:1017255407404

Cite this article as:
Menyuk, C.R. Journal of Engineering Mathematics (1999) 36: 113. doi:10.1023/A:1017255407404


It is natural to apply multiple-length-scale methods to the study of optical-fiber transmission because the key length scales span 13 orders of magnitude and cluster in three main groups. At the lowest scale, corresponding to micrometers, the full set of Maxwell's equations should be used. At the intermediate scale, corresponding to the range from one centimeter to tens of meters, the coupled nonlinear Schrödinger equation should be used. Finally, at the longest length scale, corresponding to the range from tens to thousands of kilometers, the Manakov-PMD equation should be used, and, when polarization mode dispersion can be neglected and the fiber gain and loss can be averaged out, one arrives at the scalar nonlinear Schrödinger equation. As an illustrative example of multiple-scale-length techniques, the nonlinear Schrödinger equation will be derived, carefully taking into account the actual length scales that are important in optical-fiber transmission.

optical fibers multiple length scales nonlinearity birefringence communications. 

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • C. R. Menyuk
    • 1
  1. 1.Department of Computer Science and Electrical EngineeringUniversity of Maryland Baltimore CountyBaltimoreU.S.A

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