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arXiv · 1011.1575

Arbitrary-order non-linear contribution to self-steepening

J. Kasparian·P. Béjot·J. -P. Wolf
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Abstract

Based on the recently published generalized Miller formula, we derive the spectral dependence of the contribution of arbitrary-order non-linear indices to the group-velocity index. We show that in the context of laser filamentation in gases all experimentally-accessible orders (up to the $9^{th}$-order non-linear susceptibility $χ^{(9)}$ in air and $χ^{(11)}$ in argon) have contributions of alternative signs and similar magnitudes. Moreover, we show both analytically and numerically that the dispersion term of the non-linear indices must be considered when computing the intensity-dependent group velocity.

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J. Kasparian, P. Béjot, J. -P. Wolf. 2010-11-06. Arbitrary-order non-linear contribution to self-steepening. https://doi.org/10.1364/ol.35.002795

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