Self-focusing in the presence of small time dispersion and nonparaxiality

Optics Letters
G Fibich, G C Papanicolaou

Abstract

We analyze the combined effect of small time dispersion and nonparaxiality on self-focusing and its ability to arrest the blowup of laser pulses by deriving reduced equations that depend on only the propagation distance and time. We calculate the pulse duration for which time dispersion dominates over nonparaxiality, or vice versa. We identify additional terms (shock term, group-velocity nonparaxiality, etc.)that should be retained when time dispersion and nonparaxiality are of comparable magnitude. These additional terms lead to temporal asymmetry, and in the visible spectrum they can dominate over both time dispersion and nonparaxiality.

References

Nov 1, 1995·Physical Review. a·G FibichG C Papanicolaou
Jun 3, 1996·Physical Review Letters·G Fibich
Oct 28, 1996·Physical Review Letters·J K RankaA L Gaeta
Aug 1, 1982·Optics Letters·D Anderson, M Lisak
Nov 1, 1996·Optics Letters·G Fibich
Nov 1, 1985·Applied Optics·Z Bor, B Rácz

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Citations

Jul 1, 2010·Optics Express·Katarzyna A RutkowskaRoberto Morandotti
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Stéphanie Champeaux, Luc Bergé
Oct 6, 2000·Physical Review Letters·A L Gaeta
Sep 2, 2008·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Lubomir M Kovachev, Kamen L Kovachev
May 4, 2004·Optics Letters·Gadi Fibich, Boaz Ilan
May 17, 2008·Optics Letters·Stefania MalagutiStefano Trillo
Mar 14, 2003·Physical Review Letters·Hélène Ward, Luc Bergé
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gadi FibichXiao-Ping Wang
Jan 7, 2003·Physical Review Letters·M KolesikM Mlejnek
Nov 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Kolesik, J V Moloney

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