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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*
Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar 144001, India
V. Goyal
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala 144603, India
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala 144603, India
H. Kumar
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala 144603, India
T.S. Gill
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:


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.

Research Article
Copyright © Cambridge University Press 2017 

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