Phys. Rev. E 72, 026605 (2005) [8 pages]Variational analysis of self-focusing of intense ultrashort pulses in gasesReceived 28 December 2004; published 11 August 2005 By using perturbation theory we derive an expression for the electrical field of a Gaussian laser beam 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. The approximation gives a better agreement with results of numerical simulations for a broad range of values of the input power than previous analytical results available in the literature. The results apply in the case of ultrashort pulses too. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.026605
DOI:
10.1103/PhysRevE.72.026605
PACS:
42.65.Tg, 42.65.Jx, 52.35.Mw
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