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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 4 — Apr. 1, 2007
  • pp: 773–787

Fundamental laws of parametric gain in periodic dispersion-managed optical links

Paolo Serena, Alberto Bononi, and Alessandra Orlandini  »View Author Affiliations


JOSA B, Vol. 24, Issue 4, pp. 773-787 (2007)
http://dx.doi.org/10.1364/JOSAB.24.000773


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Abstract

A general theory of the parametric gain of amplified spontaneous emission (ASE) noise in periodic dispersion-managed (DM) optical links is presented, based on a linearization of the nonlinear Schrödinger equation around a constant-wave input signal. Closed-form expressions are presented of the in-phase and quadrature ASE power spectral densities (PSDs), valid in the limit of infinitely many spans, for a limited total cumulated nonlinear phase and in-line dispersion, a typical case for nonsoliton systems. PSDs are shown to solely depend on the in-line cumulated dispersion and on the so-called DM kernel. Kernel expressions for both typical terrestrial and submarine DM links are provided. By Taylor expanding the kernel in frequency, we introduce a definition of DM map strength that is more appropriate for limited nonlinear phase DM systems with lossy transmission fibers than the standard definition for soliton systems. Various important special cases of PSDs are discussed in detail. Novel insights, to our knowledge, into the effect of a postdispersion-compensating fiber on such PSDs are included. Finally, examples of application of the PSD formulas to the performance evaluation of both on–off keying and differential phase keying modulated systems are provided.

© 2007 Optical Society of America

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: September 13, 2006
Revised Manuscript: November 29, 2006
Manuscript Accepted: December 4, 2006
Published: March 15, 2007

Citation
Paolo Serena, Alberto Bononi, and Alessandra Orlandini, "Fundamental laws of parametric gain in periodic dispersion-managed optical links," J. Opt. Soc. Am. B 24, 773-787 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-4-773

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