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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 7 — Mar. 29, 2010
  • pp: 6831–6840

Optics InfoBase > Optics Express > Volume 18 > Issue 7 > Page 6831

Investigation of phase matching for third-harmonic generation in silicon slow light photonic crystal waveguides using Fourier optics

Christelle Monat, Christian Grillet, Bill Corcoran, David J. Moss, Benjamin J. Eggleton, Thomas P. White, and Thomas F. Krauss  »View Author Affiliations


Optics Express, Vol. 18, Issue 7, pp. 6831-6840 (2010)
http://dx.doi.org/10.1364/OE.18.006831


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Abstract

Using Fourier optics, we retrieve the wavevector dependence of the third-harmonic (green) light generated in a slow light silicon photonic crystal waveguide. We show that quasi-phase matching between the third-harmonic signal and the fundamental mode is provided in this geometry by coupling to the continuum of radiation modes above the light line. This process sustains third-harmonic generation with a relatively high efficiency and a substantial bandwidth limited only by the slow light window of the fundamental mode. The results give us insights into the physics of this nonlinear process in the presence of strong absorption and dispersion at visible wavelengths where bandstructure calculations are problematic. Since the characteristics (e.g. angular pattern) of the third-harmonic light primarily depend on the fundamental mode dispersion, they could be readily engineered.

© 2010 OSA

OCIS Codes
(190.4160) Nonlinear optics : Multiharmonic generation
(190.4390) Nonlinear optics : Nonlinear optics, integrated optics
(130.5296) Integrated optics : Photonic crystal waveguides

ToC Category:
Nonlinear Optics

History
Original Manuscript: January 22, 2010
Revised Manuscript: February 19, 2010
Manuscript Accepted: February 21, 2010
Published: March 17, 2010

Citation
Christelle Monat, Christian Grillet, Bill Corcoran, David J. Moss, Benjamin J. Eggleton, Thomas P. White, and Thomas F. Krauss, "Investigation of phase matching for third-harmonic generation in silicon slow light photonic crystal waveguides using Fourier optics," Opt. Express 18, 6831-6840 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-7-6831


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