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Dynamics of Gaussian spikes on Gaussian laser beam in relativistic plasma

Published online by Cambridge University Press:  14 September 2009

A. Singh*
Affiliation:
Department of Physics, National Institute of TechnologyJalandhar, Punjab, India
M. Aggarwal
Affiliation:
Department of Physics, National Institute of TechnologyJalandhar, Punjab, India
T.S. Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar, India
*
Address correspondence and reprint requests to: Arvinder Singh, Department of Physics, National Institute of TechnologyJalandhar, Punjab, India. E-mail: arvinder6@lycos.com

Abstract

In the present paper, we have investigated the growth of a Gaussian perturbation superimposed on a Gaussian laser beam. The nonlinearity we have considered is of relativistic type. We have setup the nonlinear differential equations for beam width parameter of the main beam, growth and width of the laser spike by using the WKB and paraxial ray approximation. These are coupled ordinary differential equations and therefore these are simultaneously solved numerically using the Runge Kutta method. It has been observed from the analysis that self-focusing/defocusing of the main beam and the spike determine the growth dynamic of the spike.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2009

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