PMID: 12786292Jun 6, 2003Paper

Numerical simulations of self-focusing of ultrafast laser pulses

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
G FibichXiao-Ping Wang

Abstract

Simulation of nonlinear propagation of intense ultrafast laser pulses is a hard problem, because of the steep spatial gradients and the temporal shocks that form during the propagation. In this study we adapt the iterative grid distribution method of Ren and Wang [J. Comput. Phys. 159, 246 (2000)] to solve the two-dimensional nonlinear Schrödinger equation with normal time dispersion, space-time focusing, and self-steepening. Our simulations show that, after the asymmetric temporal pulse splitting, the rear peak self-focuses faster than the front one. As a result, the collapse of the rear peak is arrested before that of the front peak. Unlike what has sometimes been conjectured, however, collapse of the two peaks is not arrested through multiple splittings, but rather through temporal dispersion.

References

Aug 1, 1986·Physical Review A: General Physics·D W McLaughlinP L Sulem
Nov 1, 1995·Physical Review. a·G FibichG C Papanicolaou
Oct 28, 1996·Physical Review Letters·J K RankaA L Gaeta
Oct 6, 2000·Physical Review Letters·A L Gaeta
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·James Coleman, Catherine Sulem
Nov 28, 2007·Optics Letters·G Fibich, B Ilan
Jan 12, 2008·Optics Letters·G Fibich, G C Papanicolaou
Apr 15, 1992·Optics Letters·J E Rothenberg

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Citations

Jun 9, 2004·Optics Letters·A MatijosiusA Piskarskas
Jul 13, 2004·Physical Review Letters·M KolesikJ V Moloney
Jul 13, 2004·Physical Review Letters·Audrius DubietisPaolo Di Trapani

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