Nonlinear Interaction of Elliptical Laser Beam with Thermal Quantum Plasma: Relativistic Effects
In the present paper, the nonlinear interaction of elliptical laser beam with quantum plasma is investigated. In the present analysis, relativistic nonlinearity is taken in to account. The differential equations for the beam width parameters of semi major axis and semi minor axis of elliptical laser beam have been obtained by using parabolic equation approach under the usual Wentzel-Kramers-Brillouin (WKB) and paraxial approximations. Further, these equations have been solved numerically by using fourth order Runge-Kutta method. The variation of beam width parameter against normalized distance of propagation is presented graphically by varying parameters such as laser beam intensity, plasma density and Fermi temperature. Results of present analysis are compared with the case of cold quantum plasma and classical relativistic plasma.
Keywords: Elliptical laser beam, relativistic thermal quantum plasma, plasma density, fermi temperature.
PACS: 52.38.Hb, 52.35.Mw., 52.38.Dx