Analytical model for non-linear interaction of highly intense short laser pulse in magnetized dusty plasma

An analytical model for transient interaction of highly intense short laser pulse has been developed in magnetized dusty plasma. The model includes charge, particle density, and energy equivalence between plasma components. Net flux of electrons includes ionization, recombination, emission and sticking of electrons to the dust particles. Collisions and diffusion of dusty plasma constituents are also assumed in this model. For numerical appreciation, curves have been drawn for variation of beam waist parameter with the dimensionless length of propagation for different beam spot sizes, dust grain sizes, and cyclotron frequencies. This formulation is helpful for explaining the results of dusty plasma in space and laboratories. (author)