Modification and damping of magnetosonic waves in a dusty plasma

A rigorous investigation has been made on the modification of the dispersion properties of electromagnetic waves in a hot dusty plasma in the presence of a homogeneous external magnetic field. The Vlasov equation has been employed to find the response of the magnetized plasma particles where the dust grains form a static background of highly charged and massive centers having certain correlation. As an example, we derive the modified dispersion relation of the low frequency electromagnetic wave propagating perpendicular to the external magnetic field, i.e., the magnetosonic wave in the dusty plasma. We find important modifications in the dispersion relation and a finite damping of the usually undamped magnetosonic wave due to the presence of the dust. The modification of the dispersion properties and the new source of damping depend upon dust perturbation parameters, temperature, external magnetic field and the dust correlation length.