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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 20 — Sep. 27, 2010
  • pp: 21024–21029

Theory of slow light enhanced four-wave mixing in photonic crystal waveguides

M. Santagiustina, C. G. Someda, G. Vadalà, S. Combrié, and A. De Rossi  »View Author Affiliations

Optics Express, Vol. 18, Issue 20, pp. 21024-21029 (2010)

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The equations for Four-Wave-Mixing in a photonic crystal waveguide are derived accurately in the hypotesis of negligible nonlinear absorption. The dispersive nature of slow-light enhancement, the impact of Bloch mode reshaping in the nonlinear overlap integrals and the tensor nature of the third order polarization are therefore taken into account. Numerical calculations reveal substantial differences from simpler models, which increase with decreasing group velocity. We predict that the gain for a 1.3 mm long, un-optimized GaInP waveguide will exceed 10 dB if the pump power exceeds 1 W.

© 2010 Optical Society of America

OCIS Codes
(130.5990) Integrated optics : Semiconductors
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(130.5296) Integrated optics : Photonic crystal waveguides

ToC Category:
Nonlinear Optics

Original Manuscript: June 9, 2010
Revised Manuscript: July 22, 2010
Manuscript Accepted: July 27, 2010
Published: September 20, 2010

Marco Santagiustina, Carlo G. Someda, Giovanni Vadala', Sylvain Combrie', and Alfredo De Rossi, "Theory of Slow Light Enhanced Four-Wave Mixing in Photonic Crystal Waveguides," Opt. Express 18, 21024-21029 (2010)

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