Self-similar collapse and blow up of laser beams in nonlinear Kerr media-Revisited
Journal article, 2011

Some features of the blow up and collapse phenomena characteristic of the focusing nonlinear Schrodinger equation are discussed. Particular attention is given to recently found solutions describing self-similar collapse in the form of ring-shaped structures. The characteristic parameters of such collapsing rings are found and particular single-humped initial conditions giving rise to ring formation are also discussed. The possibility of self-similarly collapsing beams with parabolic intensity profiles is investigated and used to infer the blow up distance of initially Gaussian beams. The result is shown to be in good agreement with previous empirical results for the blow up distance. (C) 2011 Elsevier B.V. All rights reserved.

Ring-shaped beams

pulses

Beam blow up

Beam collapse

Author

Tobias Hansson

Chalmers, Earth and Space Sciences, Nonlinear electrodynamics

Dan Anderson

Chalmers, Earth and Space Sciences, Nonlinear electrodynamics

Mats Desaix

Chalmers

Mietek Lisak

Chalmers, Earth and Space Sciences, Nonlinear electrodynamics

Optics Communications

0030-4018 (ISSN)

Vol. 284 13 3422-3427

Subject Categories

Physical Sciences

DOI

10.1016/j.optcom.2011.03.013

More information

Latest update

9/10/2018