Theoretical investigation of non-linear propagation of laser beam in dusty plasma with strong ionization

A theoretical model for non-linear propagation of laser beam in dusty plasma with full ionization has been developed. In this model, energy balance of plasma components, electron concentration and temperature has been considered to find the dielectric constant in the presence of dust grains. The variation of beam width parameter with normalized length of propagation has been observed for different values of initial width of beam and its intensities. Length of self-focusing has been calculated for different parameters of dusty plasma.