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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 3 — Feb. 11, 2013
  • pp: 2832–2846

Theory of nonlinear pulse propagation in silicon-nanocrystal waveguides

Ivan D. Rukhlenko  »View Author Affiliations

Optics Express, Vol. 21, Issue 3, pp. 2832-2846 (2013)

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We develop a comprehensive theory of the nonlinear propagation of optical pulses through silica waveguides doped with highly nonlinear silicon nanocrystals. Our theory describes the dynamics of arbitrarily polarized pump and Stokes fields by a system of four generalized nonlinear Schrödinger equations for the slowly varying field amplitudes, coupled to the rate equation for the number density of free carriers. In deriving these equations, we use an analytic expression for the third-order effective susceptibility of the waveguide with randomly oriented nanocrystals, which takes into account both the weakening of the nonlinear optical response of silicon nanocrystals due to their embedment in fused silica and the change in the tensor properties of the response due to the modification of light interaction with electrons and phonons inside the silicon-nanocrystal waveguide. In order to facilitate the use of our theory by experimentalists, and for reasons of methodology, we provide a great deal of detail on the mathematical treatment throughout the paper, even though the derivation of the coupled-amplitude equations is quite straightforward. The developed theory can be applied for the solving of a wide variety of specific problems that require modeling of nonlinear optical phenomena in silicon-nanocrystal waveguides.

© 2013 OSA

OCIS Codes
(160.4330) Materials : Nonlinear optical materials
(190.0190) Nonlinear optics : Nonlinear optics
(190.4400) Nonlinear optics : Nonlinear optics, materials
(260.2065) Physical optics : Effective medium theory

ToC Category:
Nonlinear Optics

Original Manuscript: December 14, 2012
Revised Manuscript: January 15, 2013
Manuscript Accepted: January 16, 2013
Published: January 29, 2013

Ivan D. Rukhlenko, "Theory of nonlinear pulse propagation in silicon-nanocrystal waveguides," Opt. Express 21, 2832-2846 (2013)

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