Variational analysis of self-focusing of intense ultrashort pulses in gases

Details Variational analysis of self-focusing of intense ultrashort pulses in gases Variational analysis of self-focusing of intense ultrashort pulses in gases

2005-03-16

arxiv.org/abs/physics/0503131v1

Physics

Optics

19 pages, 8 figures

Scientific paper

10.1103/PhysRevE.72.026605

By using perturbation theory we derive an expression for the electrical field of a Gaussian laser pulse propagating in a gas medium. This expression is used as a trial solution in a variational method to get quasianalytical solutions for the width, intensity and self-focusing distance of ultrashort pulse. The approximation gives an improved agreement with results of numerical simulations for a broad range of values of the input power of the pulse than previous analytical results available in the literature.

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