Interaction between parallel Gaussian electromagnetic beams in relativistic magnetoplasma

This paper presents an interaction between two Gaussian electromagnetic beams in relativistic magnetoplasma, when the axes of the two beams are initially (z=0) parallel along the z-axis in the x–z plane; the beams are initially propagating in the z-direction. The coupled wave equations corresponding to the parallel Gaussian electromagnetic beam have been solved in the paraxial approximation, yielding a system of coupled second order differential equations for the beam width. The equations have been solved numerically for a range of parameter. Lastly, the results have been presented in the form of graphs.