Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-23T22:25:42.782Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Akhmanov, S. A., Sukharukov, A. P. & Khokhlov, R. V. 1968 Soviet Phys. Uspekhi, 93, 609.CrossRefGoogle Scholar
Andersom, D. 1978 Phsica Scripta, 18, 35.Google Scholar
Anderson, D. & Bonnedal, M. 1978 Phys. Fluids, 22, 105.CrossRefGoogle Scholar
Anderson, D., Bonnedal, M. & Lisak, M. 1979 Phys. Fluids, 22, 1838.CrossRefGoogle Scholar
Duncan, L. M. & Behnke, R. A. 1978 Phys. Rev. Lett. 41, 998.CrossRefGoogle Scholar
JrLewis, H. R. 1968 J. Math. Phys. 9, 1976.Google Scholar
Max, C. E. 1976 Phys. Fluids, 19, 74.CrossRefGoogle Scholar
Morales, G. J. & Lee, Y. C. 1975 Phys Rev. Lett. 35, 930.CrossRefGoogle Scholar
Nayyar, V. P. & Soni, V. S. 1979 J. Phys. D. 12, 239.CrossRefGoogle Scholar
Sodha, M. S., Ghatak, A. K. & Tripathi, V. K. 1976 Progress in Optics (ed. Wolf, E.), vol. 13, 175. North-Holland.Google Scholar