Mutual focusing of two laser beams propagating in homogeneous plasma

In the present paper, self-focusing of two laser beams, having equal frequency (wave number), propagating in cold, homogeneous and underdense plasma has been studied. The polarization vectors of the two beams are considered to be arbitrarily oriented, and lying in a plane perpendicular to the propagation direction. Using source dependent expansion technique, the evolution equations for spot size and phase shift of the laser beams having radial Gaussian profile, is derived. Numerical solutions for simultaneous evolution of the laser spot of the two beams have been obtained.