Self-Focusing Dynamics of Cosh-Gaussian Laser Beams in Absorptive Cold Quantum Plasma Under Relativistic and Ponderomotive Nonlinearities
Abstract
The current study examines self-focusing behavior of Cosh-Gaussian laser beams in absorptive cold quantum plasma, incorporating merged influence of relativistic mass variation and ponderomotive effects. Applying WKB approximation in combination with paraxial theory, 2nd order propagation equation describing variation of beam width as a function of normalized distance is derived incorporating effect of linear absorption. The numerical solution of resulting differential equation is obtained by 4th order Runge-kutta method. Further, a comprehensive parametric study is performed to access effect of laser-plasma parameters such as beam intensity, plasma density, initial beam radius, decentered parameter and absorption coefficient on beam dynamics. The results show that relativistic and ponderomotive nonlinearities enhance self-focusing, whereas absorption reduces it. Comparison with classical relativistic plasma underscores the key role of quantum effects in laser propagation through dense plasmas.
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References
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