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Relativistic self-focusing of laser beams in time-harmonic plane waves: arbitrary intensity

Published online by Cambridge University Press:  13 March 2009

Meenu Asthana
Affiliation:
School of Physics, Devi Ahilya University, Indore 452 001, India
M. S. Sodha
Affiliation:
School of Physics, Devi Ahilya University, Indore 452 001, India
K. P. Maheshwari
Affiliation:
School of Physics, Devi Ahilya University, Indore 452 001, India

Abstract

This paper presents a paraxial theory of relativistic self-focusing of a Gaussian laser beam in plasma for a time-harmonic plane wave at arbitrary beam intensity. Since the relativistic mechanism is instantaneous, the theory is also applicable to self-focusing of laser pulses. The analysis leads to two values for the critical beam power for self-focusing, Pcr1 and Pcr2. When P < Pcr1 < Pcr2, the beam diverges. When Pcr1 <P <pcr2, it first converges, then diverges, and so on. When P > Pcr2 it first diverges, then converges, and so on.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1994

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References

REFERENCES

Akhmanov, S. A., Sukhorukov, A. P. & Khokhlov, R. V. 1968 Soviet Phys. Usp. 10, 609.CrossRefGoogle Scholar
Esarey, E., Ting, A. & Sprangle, P. 1988 Appi. Phys. Lett. 53, 1266.CrossRefGoogle Scholar
Hora, H. 1975 J. Opt. Soc. Am. 65, 8.CrossRefGoogle Scholar
Schmidt, G. & Wilcox, T. 1973 Phys. Fluids 16, 1522.CrossRefGoogle Scholar
Schmidt, G. & Horton, W. 1985 Comments Plasma Phys. Contr. Fusion 9, 85.Google Scholar
Siegriest, M. R. 1976 Optics Commun. 16, 3.Google Scholar
Sodha, M. S., Ghatak, A. K. & Tripathi, V. K. 1974 Self Focusing of Laser Beams in Dielectrics, Plasma and Semiconductors. Tata—McGraw-Hill.Google Scholar
Sodha, M. S., Konar, S. & Maheshwari, K.P. 1992 J. Plasma Phys. 48, 107.CrossRefGoogle Scholar
Sun, G.-Z., Ott, E., Lee, Y. C. & Guzdar, P. 1987 Phys. Fluids 30, 2.Google Scholar