Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-06-19T08:08:17.993Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

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

Dong, Q. L., Sheng, Z. M. and Zhang, J. 2002 Phys Rev. E 66, 027402.Google Scholar
Ginzburg, V. L. 1972 The Propagation of Electromagnetic Waves in Plasmas. Oxford: Pergamon, p. 42.Google Scholar
Gurevich, A. V. 1978 Nonlinear Processes in the Ionosphere. Berlin: Springer, p. 6.Google Scholar
Ren, C., Duda, B. J., Evans, R. G., Fonseca, R. A., Hemker, R. G. and Mori, W. B. 2002 Phys. Plasmas 9, 2354.CrossRefGoogle Scholar
Ren, C., Hemker, R. G., Fonseca, R. A., Duda, B. J. and Mori, W. B. 2000 Phys. Rev. Lett. 85, 2124.CrossRefGoogle Scholar
Shkarofsky, I. P., Johnston, T. W. and Bachynski, M. P. 1966 The Particle Kinetics of Plasmas. New York: Addison-Wesley.Google Scholar
Shukla, P. K., Eliasson, B., Marklund, M., Stenflo, L., Koriakis, I., Parvianen, M. and Dickermann, M. E. 2006 Phys. Plasmas 13, 053104.CrossRefGoogle Scholar
Shukla, P. K. and Stenflo, L. 1984 Phys. Rev. 30, 2110.CrossRefGoogle Scholar
Sodha, M. S., Agarwal, S. K. and Sharma, A. 2006a Phys. Plasmas 13, 103107.CrossRefGoogle Scholar
Sodha, M. S. and Sharma, A. 2006 Phys. Plasmas 13, 053105.Google Scholar
Sodha, M. S., Sharma, A. and Agarwal, S. K. 2006b Phys. Plasmas 13, 083105.Google Scholar
Spitzer, L. 1968 Physics of Ionized Gases. New York: Wiley InterScience.Google Scholar