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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 7 — Mar. 29, 2010
  • pp: 6613–6620

Generalized Miller Formulæ

W. Ettoumi, Y. Petit, J. Kasparian, and J.-P. Wolf  »View Author Affiliations

Optics Express, Vol. 18, Issue 7, pp. 6613-6620 (2010)

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We derive the spectral dependence of the non-linear susceptibility of any order, generalizing the common form of Sellmeier equations. This dependence is fully defined by the knowledge of the linear dispersion of the medium. This finding generalizes the Miller formula to any order of non-linearity. In the frequency-degenerate case, it yields the spectral dependence of non-linear refractive indices of arbitrary order.

© 2010 Optical Society of America

OCIS Codes
(120.4530) Instrumentation, measurement, and metrology : Optical constants
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(190.7110) Nonlinear optics : Ultrafast nonlinear optics

ToC Category:
Nonlinear Optics

Original Manuscript: January 29, 2010
Revised Manuscript: February 25, 2010
Manuscript Accepted: February 26, 2010
Published: March 15, 2010

W. Ettoumi, Y. Petit, J. Kasparian, and J.-P. Wolf, "Generalized Miller Formulæ," Opt. Express 18, 6613-6620 (2010)

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