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Weakly relativistic self-focusing of Gaussian laser beam in magnetized cold quantum plasma

Published online by Cambridge University Press:  12 December 2017

M. Aggarwal ,
V. Goyal ,
Richa ,
H. Kumar  and
T.S. Gill
M. Aggarwal*
Affiliation:
Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar 144001, India
V. Goyal
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala 144603, India
Richa
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala 144603, India
H. Kumar
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala 144603, India
T.S. Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, India
*
Address correspondence and reprint requests to: M. Aggarwal, Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar 144001, India. E-mail: [email protected]
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Abstract

In the present paper, we have studied self-focusing of Gaussian laser beam in weakly relativistic magnetized cold quantum plasma. When interparticle distance is comparable to the de Broglie wavelength of charged particles, we cannot neglect the quantum contribution of plasma constituents. Therefore, propagation characteristics are studied by taking in to account quantum contribution in the presence of static magnetic field applied along the beam propagation. Our results show that the magnetic field plays a key role in achieving additional focusing, it modifies the quiver motion of electrons by adding cyclotron frequency to the natural frequency of oscillating electrons during laser beam propagation. The results are compared with those of weakly relativistic quantum plasma and weakly relativistic magnetized plasma. The self-focusing is found to be more pronounced when axial magnetic field is increased in the present model. We have setup the non-linear differential equation for the evolution of beam-width parameter by well-known paraxial ray approximation and solved it with the help of computational technique.

Keywords

Cold quantum plasmaGaussianMagnetizedSelf-focusingWeakly relativistic
Type
Research Article
Information
Laser and Particle Beams , Volume 35 , Issue 4 , December 2017 , pp. 699 - 705
Copyright
Copyright © Cambridge University Press 2017 

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References

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