Self-focusing of asymmetric finite Airy-Gaussian laser beams in magnetized plasma

Abstract

In this work, the role of asymmetry in the beam profile of finite Airy-Gaussian (AiG) laser is presented to explore its propagation dynamics in collisionless magnetized plasma.Emphasis is on analyzing the self-trapping condition for both extraordinary (𝐸𝐸) and ordinary (𝑂𝑂) modes of propagation of AiG laser beam. Theoretical formulation is based on obtaining nonlinear coupled differential equations for beam-width parameters in both transverse dimensions of the beam with the help of parabolic equation approach under WKB and paraxial approximations. It is found that asymmetry in the modulation parameters significantly affects self-focusing of finite AiG beam. Moreover, same initial intensity parameter for simultaneous self-trapping of both the modes of propagation is noteworthy.