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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 1 — Jan. 1, 2013
  • pp: 62–70

Analytic solutions for the phases of waves coupled by degenerate or nondegenerate four-wave mixing

Michel E. Marhic  »View Author Affiliations

JOSA B, Vol. 30, Issue 1, pp. 62-70 (2013)

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We show that the phases of waves coupled by four-wave mixing (FWM) can be calculated in closed form, for either degenerate or nondegenerate FWM. The phase of each wave is the sum of a linear function of distance z, and elliptic integrals of the third kind. A variety of behaviors as a function of z are possible. The results can be used for obtaining the phase transfer function between any input wave and any output wave, a subject of interest for phase regeneration of communication signals.

© 2012 Optical Society of America

OCIS Codes
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Nonlinear Optics

Original Manuscript: August 14, 2012
Revised Manuscript: October 16, 2012
Manuscript Accepted: October 18, 2012
Published: December 6, 2012

Michel E. Marhic, "Analytic solutions for the phases of waves coupled by degenerate or nondegenerate four-wave mixing," J. Opt. Soc. Am. B 30, 62-70 (2013)

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