Abstract

The present communication explores the second harmonic generation (SHG) of intense Laguerre-Gaussian beam (L-G beam) in relativistic plasma having an exponential density transition. The carrier redistribution is observed on account of relativistic nonlinearity in presence of intense L-G beam. This results in establishment of transverse intensity gradients thereby generating electron plasma wave (EPW) at the frequency of pump wave. Further, there is an interaction of pump beam with EPW resulting in production of second harmonics. The approach of method of moments is utilized for deriving 2nd order differential equation for beam waist of beam and yield of SHG. It is predicted from the results that a vital role is played by exponential density ramp and different L-G beam modes in enhancing focusing ability of beam and yield of SHG.

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