M.B. Dongare

Analytical Study of HChG-Laser Beam Propagation in Collisional and Collisionless Plasmas

We have studied the propagation of m=0, 1 and 2 mode Hermite-cosh-Gaussian (HChG) laser beams in collisional and collisionless plasmas. The field distribution in the medium is expressed in terms of beam-width parameter f and decentred parameter b. The differential equations for f-parameter are established by parabolic wave equation approach under paraxial approximation. Analytical solutions are obtained under the condition Rn < Rd where, Rn is the self-focusing length and Rd is the diffraction length. The behaviour of f-parameter with the dimensionless distance of propagation η for various b-values is examined by numerical estimates. The results are presented graphically.