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In this article, self-focusing of an intense circularly polarized laser pulse in the presence of an external oblique magnetic field in hot magnetized plasma, using Maxwell’s equations and the relativistic fluid momentum equation, is studied. An envelope equation governing the spot size of the laser beam for both of left- and right-hand polarizations has been derived and the effects of the plasma temperature and oblique magnetic field on the electron density distribution of hot plasma with respect to variation of the normalized laser spot size has been investigated. Numerical results depict that in right-hand polarization, self-focusing of the laser pulse along the propagation direction in hot magnetized plasma becomes better and more compressed with increasing $\unicode[STIX]{x1D703}$. Inversely, in left-hand polarization, increase of $\unicode[STIX]{x1D703}$ in an oblique magnetic field leads to enhancement of the spot size and reduction self-focusing. Besides, in the plasma density profile, self-focusing of the laser pulse improves in comparison with no oblique magnetic field. Also it is shown that plasma temperature has a key role in the laser spot size, normalized laser output power and the variation of plasma density.

In this paper, the effect of the wiggler magnetic field strength on the self-focusing of an intense laser pulse propagating through a magnetized non-Maxwellian plasma is studied. By using a relativistic fluid model, a non-linear equation describing the spot-size of the laser pulse for right- and left-hand polarizations has been derived. The evaluation of the spot-size in the self-focusing of laser pulse with the respect to the kind of polarization is investigated. Besides, the effects of wiggler magnetic field and a non-Maxwellian distribution of charge density on the evolution of the laser spot-size have been discussed. The results show that in the right-hand polarization, the existence of superthermal particles and wiggler magnetized field simultaneously cause improvement in the self-focusing quality. In addition, for the left-hand polarization, the self-focusing in the presence of wiggler field increases with an increase in the ki. Furthermore, the self-focusing decreases with an increase in the wiggler amplitudes for the left-hand polarization. Moreover, it is observed that an increase in the normalized laser frequency leads to an increase in the variation in the laser spot-size, and then the laser pulse becomes more focused.

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