Nonlinear Interaction of q-Gaussian Laser Beam with Unmagnetized Plasma: Effect of Relativistic and Ponderomotive Nonlinearity

Abstract

The present work explores the nonlinear interaction of q-Gaussian laser beam with unmagnetized plasma. Relativistic and ponderomotive nonlinearities are taken together in the present investigation. The Wentzel–Kramers–Brillouin (WKB) approximation and paraxial theory are used for deriving the second-order ODEexpressing variation of beam waist against the normalized propagation distance. Further, the behavior of the beam waist against normalized propagation distance is explored through the RK4 method. The impact of established parameters of laser and plasma such as plasma temperature, laser intensity, plasma density, and q parameter on the beam waist is also analyzed.