Exact description of self-focusing in highly nonlinear geometrical optics

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dc.creatorTatarinova, Larisa L.
dc.creatorGarcia, Martin E.
dc.date2008-01-14
dc.date.accessioned2026-07-07T08:54:18Z
dc.date.available2026-07-07T08:54:18Z
dc.descriptionWe demonstrate that laser beam collapse in highly nonlinear media can be described, for a large number of experimental conditions, by the geometrical optics approximation within high accuracy. Taking into account this fact we succeed in constructing analytical solutions of the eikonal equation, which are exact on the beam axis and provide: i) a first-principles determination of the self-focusing position, thus replacing the widely used empirical Marburger formula, ii) a benchmark solution for numerical simulations, and iii) a tool for the experimental determination of the high-order nonlinear susceptibility. Successful comparison with several experiments is presented.
dc.description3 figures
dc.identifierhttps://arxiv.org/abs/0801.2035
dc.identifierhttp://arxiv.org/abs/0801.2035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145880
dc.subjectOptics
dc.titleExact description of self-focusing in highly nonlinear geometrical optics
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