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Adiabatic law for self-focusing of optical beams
Author(s) -
Gadi Fibich
Publication year - 1996
Publication title -
optics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.524
H-Index - 272
eISSN - 1071-2763
pISSN - 0146-9592
DOI - 10.1364/ol.21.001735
Subject(s) - adiabatic process , self focusing , physics , nonlinear system , optics , point (geometry) , adiabatic theorem , classical mechanics , mathematics , quantum mechanics , laser beams , laser , geometry
An adiabatic approach is used to derive a new law for self-focusing in the nonlinear Schr odinger equation that is valid from the early stages of self-focusing until the blowup point. The adiabatic law leads to an analytical formula for the location of the blowup point and can be used to estimate the effects of various small perturbations on self-focusing. The results of the analysis are confirmed by numerical simulations.

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