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Focusing of a dark hollow Gaussian electromagnetic beam in a magnetoplasma

Published online by Cambridge University Press:  23 March 2009

MAHENDRA SINGH SODHA
Affiliation:
Disha Academy of Research and Education, Disha Crown, Katchna Road, Shankarnagar, Raipur 492 007, India ([email protected])
S. K. MISHRA
Affiliation:
Ramanna Fellowship Program, Department of Education Building, Lucknow University, Lucknow 226 007, India
SHIKHA MISRA
Affiliation:
Ramanna Fellowship Program, Department of Education Building, Lucknow University, Lucknow 226 007, India

Abstract

This paper presents an analysis and subsequent discussion of the self focusing of a dark hollow Gaussian electromagnetic beam (HGB) in a magnetoplasma, considering ponderomotive and collisional nonlinearities. A paraxial-like approach, in which the relevant parameters are expanded in terms of radial distance from the maximum of the irradiance rather than that from the axis, has been adopted to analyze the propagation of the HGB. The nature of self focusing is highlighted through the critical curves as a plot of dimensionless radius versus power of the beam. The effect of the magnetic field and the nature of the nonlinearity on self focusing of various order HGBs has also been explored.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

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