Generalized Miller Formulae

Details Generalized Miller Formulae Generalized Miller Formulae

2010-11-06

arxiv.org/abs/1011.1588v1

Optics Express 18, 6613 (2010)

Physics

Optics

12 pages, 1 figure (4 panels)

Scientific paper

10.1364/OE.18.006613

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.

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