Enhanced Brillouin scattering of elliptical laser beam in a collisionless plasma

Complete text of publication follows. This paper presents the Enhanced Brillouin scattering of an elliptical laser beam in collisionless plasma. The transverse intensity gradient of a pump beam generates a ponderomotive force, which modifies the background plasma density profile in a direction transverse to pump beam axis. This modification in density affects the incident laser beam, ion-acoustic wave and back-scattered beam. Non-linear differential equations for the beam width parameters of pump laser beam, ion-acoustic wave and back-scattered beam are set up and solved numerically. Numerical results predict the effect of focusing of waves on the back reflectivity.