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Interaction between parallel Gaussian electromagnetic beams in ionic collision dominated plasmas with thermal conduction

Published online by Cambridge University Press:  01 February 2008

MAHENDRA SINGH SODHA ,
SUJEET KUMAR AGARWAL  and
ASHUTOSH SHARMA
MAHENDRA SINGH SODHA
Affiliation:
Disha Academy of Research and Education, Disha Crown, Katchna Road, Shankar Nagar, Raipur-492007, India (msodha@rediffmail.com)
SUJEET KUMAR AGARWAL
Affiliation:
DST Project, Department of Education Building, Lucknow University, Lucknow-226007, India
ASHUTOSH SHARMA
Affiliation:
DST Project, Department of Education Building, Lucknow University, Lucknow-226007, India
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Abstract

In this communication the interaction between two Gaussian electromagnetic beams in an ionic collision dominated plasma has been investigated, when the axes of the two beams are initially (z = 0) parallel along the z-axis in the xz plane; the beams are initially propagating in the z-direction. Taking into account the loss of electron energy by collisions and by thermal conduction, the energy balance equation for electrons has been solved to obtain the space dependence of the electron temperature and the dielectric function has been expressed as a function of the electron temperature; this expression for the dielectric function has been substituted in the wave equation and a solution of the resulting nonlinear equation obtained in the paraxial approximation. Second-order coupled ordinary differential equations have been obtained for the distance between the centers of the beams and the beam widths in the x- and y-directions as a function of the distance of propagation along the z-axis. The equations have been solved numerically for a range of parameters and a discussion of the results is presented for the case when the two beams have the same axial irradiance, frequency and width. From simple considerations it is seen that the beams attract each other when 2xo < wro and in this situation beams are close enough for the paraxial approximation to be valid.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 1 , February 2008 , pp. 65 - 77
Copyright
Copyright © Cambridge University Press 2007

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