In this paper, self-focusing of finite Airy–Gaussian (AiG) laser beams in collisionless plasma has been investigated. The source of nonlinearity considered herein is relativistic. Based on the Wentzel–Kramers–Brillouin (WKB) and paraxial-ray approximations, the nonlinear coupled differential equations for beam-width parameters in transverse dimensions of AiG beams have been established. The effect of beam's modulation parameter and linear absorption coefficient on the self-focusing/defocusing of the beams is specifically considered. It is found that self-focusing/defocusing of finite AiG beams depends on the range of modulation parameter. The extent of self-focusing is found to decrease with increase in absorption.

中文翻译：

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有限艾里-高斯激光束与等离子体相互作用中的调制参数域

在本文中，研究了无碰撞等离子体中有限艾里-高斯 (AiG) 激光束的自聚焦。这里考虑的非线性来源是相对论的。基于 Wentzel-Kramers-Brillouin (WKB) 和近轴射线近似，建立了 AiG 光束横向尺寸中光束宽度参数的非线性耦合微分方程。特别考虑了光束的调制参数和线性吸收系数对光束自聚焦/散焦的影响。发现有限AiG光束的自聚焦/散焦取决于调制参数的范围。发现自聚焦的程度随着吸收的增加而降低。