Abstract

In this paper, we investigate the relativistic self-focusing of Laguerre-Gaussian beam in underdense collisionless plasma. We employ the WKB approximation for uncovering the importance of dimensionless normalized plasma density Ω = ωp0/ω, ωp0 is plasma frequency and observe that the normalized density enhances the self-focusing. The effect of normalized plasma density on the critical condition of non-diffracted propagation of beam is also investigated.

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