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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Jena, Karishma Vyas, Bharat and Sharma, Prerana 2017. Effect of ripple on self-focusing of a cosh-Gaussian laser beam in collisionless plasma. Journal of Physics: Conference Series, Vol. 836, Issue. , p. 012030.
    Sharma, P. 2017. Excitation of nonlinear ion acoustic wave and stimulated Brillouin scattering of hollow Gaussian beam in relativistic plasma. Laser and Particle Beams, Vol. 35, Issue. 02, p. 226.
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Second-harmonic generation by relativistic self-focusing of cosh-Gaussian laser beam in underdense plasma

  • Arvinder Singh (a1) and Naveen Gupta (a1)
Abstract

This paper presents theoretical investigation of effect of relativistic self-focusing of cosh-Gaussian (ChG) laser beam on second-harmonic generation in an underdense plasma. Steep transverse density gradients are produced in the plasma by the electron plasma wave excited by relativistic self-focusing of ChG laser beam. The generated plasma wave interacts with the pump beam to produce its second harmonics. Following Jeffrey Wentzel Kramers Brillouin (J.W.K.B) approximation and moment theory the differential equation governing the evolution of spot size of laser beam with distance of propagation has been derived. The differential equation so obtained has been solved numerically by the Runge–Kutta method to investigate the effect of decentered parameter, intensity of laser beam as well as density of plasma on self-focusing of the ChG laser beam, and generation of its second harmonics. It has been observed that the peak intensity of the laser beam shifts in the transverse direction by changing the decentered parameter and a noticeable change is observed on focusing of the laser beam as well as on conversion efficiency of second harmonics.

Copyright
COPYRIGHT: © Cambridge University Press 2015 
Corresponding author
Address correspondence and reprint requests to: Arvinder Singh, Department of Physics, National Institute of Technology, Jalandhar, India. E-mail: arvinder6@lycos.com
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