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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 10 — May. 17, 2004
  • pp: 2033–2055

Four-wave mixing in fibers with random birefringence

C. J. McKinstrie, H. Kogelnik, R. M. Jopson, S. Radic, and A. V. Kanaev  »View Author Affiliations

Optics Express, Vol. 12, Issue 10, pp. 2033-2055 (2004)

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Parametric amplification is made possible by four-wave mixing. In low-birefringence fibers the birefringence axes and strength vary randomly with distance. Light-wave propagation in such fibers is governed by the Manakov equation. In this paper the Manakov equation is used to study degenerate and nondegenerate four-wave mixing. The effects of linear and nonlinear wavenumber mismatches, and nonlinear polarization rotation, are included in the analysis. Formulas are derived for the initial quadratic growth of the idler power, and the subsequent exponential growth of the signal and idler powers (which continues until pump depletion occurs). These formulas are valid for arbitrary pump and signal polarizations.

© 2004 Optical Society of America

OCIS Codes
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.5040) Nonlinear optics : Phase conjugation

ToC Category:
Research Papers

Original Manuscript: February 13, 2004
Revised Manuscript: April 28, 2004
Published: May 17, 2004

C. McKinstrie, H. Kogelnik, R. Jopson, S. Radic, and A. Kanaev, "Four-wave mixing in fibers with random birefringence," Opt. Express 12, 2033-2055 (2004)

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