Generalized Dispersion Relations for Electromagnetic Waves in Dusty Plasma

Abstract

In this dissertation, we have studied the generalized linear theory for electromagnetic wave in a homogeneous dusty magnetoplasma. The generalized Hall-magnetohydrodynamic (GH-MHD) equations are derived by assuming massive charged dust macro-particles to be immobile. Due to the presence of immobile charged dust particles, various new electromagnetic modes are excited. Then linear properties of the Rao-dust-magnetohydrodynamic (R-D-MHD) waves are studied. In the linear regime, the existence of immobile dust grains produces the Rao cutoff frequency, which is proportional to the dust charge density and the ion gyrofrequency. The hydrodynamic equations for double dust particles in a quasineutral magnetoplasma, together with Ampere's law, are used to derive nonlinear equations for ultralow-frequency modes. In the linear approximation, the frequency of the double dust-acoustic waves (DDAWs) is obtained.