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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 5, Iss. 3 — Mar. 1, 1988
  • pp: 633–640

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

M. D. Feit and J. A. Fleck, Jr.  »View Author Affiliations


JOSA B, Vol. 5, Issue 3, pp. 633-640 (1988)
http://dx.doi.org/10.1364/JOSAB.5.000633


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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

History
Original Manuscript: May 5, 1987
Manuscript Accepted: October 9, 1987
Published: March 1, 1988

Citation
M. D. Feit and J. A. Fleck, "Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams," J. Opt. Soc. Am. B 5, 633-640 (1988)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-5-3-633


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References

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