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Theoretical Foundations of Femtosecond Filamentation

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Nonlinear Optics in the Filamentation Regime

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

In the following chapter, the theoretical modeling of femtosecond filamentation is discussed. For a detailed understanding of this phenomenon, the dynamical equation governing the evolution of the laser electric field have to be identified.

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Notes

  1. 1.

    Nonlocally responding media play a crucial role for the physics of negative refraction [15]. In these media, the susceptibility \(\chi ^{(1)}(\omega ,\vec {k})\) depends both on the frequency \(\omega \) and the wave vector \(\vec {k}\). The non-local analogue to Eq. (2.7) therefore involves a convolution in the spatial domain.

  2. 2.

    As in the case of the linear polarization, spatial dispersion modeled by a wave-vector dependent nonlinear susceptibility \(\chi ^{(n)}(\omega _1,\cdots ,\omega _n,\vec {k}_1,\cdots ,\vec {k}_n)\) was disregarded. Spatially dispersive nonlinearities involve a nonlocal optical response and can arise from thermal effects or may occur in dipolar Bose-Einstein condensates [21].

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  1. Weierstrass Institute for Applied Analysis and Stochastics Leibniz Institute in Forschungsverbund Berlin e. V., Humboldt University, Berlin, Germany

    Dr. Carsten Brée

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Brée, C. (2012). Theoretical Foundations of Femtosecond Filamentation. In: Nonlinear Optics in the Filamentation Regime. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30930-4_2

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  • DOI: https://doi.org/10.1007/978-3-642-30930-4_2

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