Transient self-filamentation of electromagnetic beam propagating in dusty plasma

A theoretical model mentioning the effect of dust grains on transient self-filamentation of electromagnetic beam propagating in dusty plasmas has been proposed. Non-linear irradiance of the electromagnetic beam in dusty plasma causes the non-uniform distribution of electron temperature. As a result of which more and more electrons are accumulated on dust grain surface near the axis of the beam which generate distorted electron density passage even after considering the ambipolar diffusion and motivate the self-filamentation of beam. In this analysis, while considering non-linear ohmic heating, dust charge balance, elastic and inelastic collision of constituent particles, accumulation and ionization of electron from dust grain surface, momentum and energy balance equations have been solved simultaneously to govern the relation between the beam width parameter and distance of propagation. The dependence of beam width parameter with dimensionless propagation distance have been evaluated for different values of dust densities and dust charge potential. (author)