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Nonlinear propagation of elliptically shaped Gaussian laser beams

Published online by Cambridge University Press:  13 March 2009

D. Anderson
Affiliation:
Institute for Electromagnetic Field Theory and EURATOM-FUSION Research (EUR-NE), Chalmers University of Technology, S-412 96 Göteborg, Sweden
M. Bonnedal
Affiliation:
Institute for Electromagnetic Field Theory and EURATOM-FUSION Research (EUR-NE), Chalmers University of Technology, S-412 96 Göteborg, Sweden
M. Lisak
Affiliation:
Institute for Electromagnetic Field Theory and EURATOM-FUSION Research (EUR-NE), Chalmers University of Technology, S-412 96 Göteborg, Sweden

Abstract

An analytic investigation is made of the nonlinear propagation characteristics of laser beams with elliptically shaped Gaussian intensity cross-sections. Explicit analytic criteria, in terms of inital conditions, are given, which determine the dynamical behaviour of the transverse dimensions of the beam, i.e. its self- focusing and defocusing properties. Approximate analytic solutions are also given, which display the characteristic features of the general variation of beam width with distance of propagation.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1980

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References

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