Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams

Not Accessible

Your library or personal account may give you access

Abstract

The paraxial wave equation, as is well known, predicts the catastrophic collapse of self-focusing beams. It is pointed out that this collapse is due to the loss of validity of the paraxial wave equation in the neighborhood of a self-focus. If nonparaxiality of the beam propagation is taken into account, on the other hand, a lower limit of the order of one optical wavelength is imposed on the diameter of a self-focus. A nonparaxial algorithm for the Helmholtz equation is applied to the self-focusing of Gaussian and ring-shaped beams. The self-focusing is noncatastrophic, and the results give insight into filament formation and beam breakup resulting from the self-focusing of optical beams.

© 1988 Optical Society of America

Full Article  |  PDF Article
More Like This
Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium

Vladimir Tikhonenko, Jason Christou, and Barry Luther-Daves
J. Opt. Soc. Am. B 12(11) 2046-2052 (1995)

Self-guided waves and exact solutions of the nonlinear Helmholtz equation

Timo A. Laine and Ari T. Friberg
J. Opt. Soc. Am. B 17(5) 751-757 (2000)

Dispersive self-focusing in atomic media

A. W. McCord, R. J. Ballagh, and J. Cooper
J. Opt. Soc. Am. B 5(6) 1323-1334 (1988)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (22)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved