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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 2 — Jan. 22, 2007
  • pp: 577–582

Phase-matching and mitigation of four-wave mixing in fibers with positive gain

Jean-Philippe Fève  »View Author Affiliations

Optics Express, Vol. 15, Issue 2, pp. 577-582 (2007)

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We present a theoretical study of four-wave mixing interactions in fibers in the presence of gain. In contrast to passive fibers, positive gain at the pump wavelength leads to constructive generation of the signal and idler waves, even in the case of large phase-mismatch, so that FWM processes can be very efficient even in isotropic single-mode fibers with normal dispersion. We also propose simple ways to mitigate these parametric interactions by applying a controlled variation of the phase-mismatch along the fiber. These concepts apply to all optical amplifiers.

© 2007 Optical Society of America

OCIS Codes
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(140.3510) Lasers and laser optics : Lasers, fiber
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing

ToC Category:
Nonlinear Optics

Original Manuscript: November 6, 2006
Revised Manuscript: January 9, 2007
Manuscript Accepted: January 9, 2007
Published: January 22, 2007

Jean-Philippe Fève, "Phase-matching and mitigation of four-wave mixing in fibers with positive gain," Opt. Express 15, 577-582 (2007)

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  1. F. Di Teodoro and C. Brooks, "Multistage Yb-doped fiber amplifier generating megawatt peak-power, subnanosecond pulses," Opt. Lett. 30,3299 - 3301 (2005). [CrossRef]
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  9. Complete calculation of modal propagation shows waveguide contribution to phase-mismatch is less than 3%, so that the single-mode approximation is justified (R. Farrow, personal communication).
  10. J. P. Fève, P. Schrader, R. Farrow and D. Kliner, "Limiting effects of four-wave mixing in high-power pulsed fiber amplifiers," Proc. SPIE 6453, (2007).
  11. S. Murdoch, M. Thomson, R. Leonhardt and J. Harvey, "Quasi-phase-matched modulation instability in birefringent fibers," Opt. Lett. 22, 682 (1997) [CrossRef] [PubMed]

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