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Relativistic cross-focusing of extraordinary and ordinary modes in a magnetoactive plasma

Published online by Cambridge University Press:  09 August 2013

MEENU ASTHANA VARSHNEY ,
SHALINI SHUKLA ,
SONU SEN  and
DINESH VARSHNEY
MEENU ASTHANA VARSHNEY
Affiliation:
Department of Physics, M. B. Khalsa College, Indore 452002, India
SHALINI SHUKLA
Affiliation:
School of Physics, Devi Ahilya University, Indore 452001, India (vdinesh33@rediffmail.com)
SONU SEN
Affiliation:
School of Physics, Devi Ahilya University, Indore 452001, India (vdinesh33@rediffmail.com) Department of Engineering Physics, Indore Institute of Science and Technology, Indore 453331, India
DINESH VARSHNEY
Affiliation:
School of Physics, Devi Ahilya University, Indore 452001, India (vdinesh33@rediffmail.com)
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Abstract

This paper presents the effect of self-focusing on a circularly polarized beam propagating along the static magnetic field when the extraordinary and ordinary modes are present simultaneously for relativistic intensities. The nonlinearity in the dielectric function arises on account of the relativistic variation of mass, which leads to the mutual coupling of the two modes that support the self-focusing of each other. The propagation and focusing of the first mode affects the propagation and focusing of the second mode. The fact that the two modes are laser-intensity dependent leads to cross-focusing. Dynamics of one laser beam affects the dynamics of the second laser beam. When both the beams or modes are strong, the nonlinearities introduced by the relativistic effect in the presence of the magnetic field are additive in nature, such that one beam can undergo oscillatory self-focusing and other beam simultaneously defocusing and vice versa. The dynamical equation governing the cross-focusing has been set up and a numerical solution has been presented for typical relativistic laser–plasma parameters from a slightly underdense to overdense plasma.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 5 , October 2013 , pp. 953 - 961
Copyright
Copyright © Cambridge University Press 2013 

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