Research on Electromagnetic Wave Propagation Characteristics of Fully Ionized Inhomogeneous Dusty Plasma in a Magnetized BGK Model

Starting from Boltzmann's approximate equation, the Bhatnagar-Gross-Krook (BGK) collision model of inhomogeneous dusty plasma is derived. In the case of an external magnetic field, the expression of the dielectric coefficient of the dusty plasma under the collision condition of the fully ionized BGK is obtained by combining the collision effect and charging effect of the dusty plasma. By using the transfer matrix method, the reflection coefficient and transmission coefficient of electromagnetic (EM) waves under different external magnetic fields and dusty plasma parameters are calculated, and the propagation characteristics of dusty plasma under the nonuniform fully ionized BGK collision model are analyzed. Results show that the inelastic collision absorption effect between electrons and dust particles is the strongest when the incident frequency of EM waves is close to or equal to the charging frequency of dusty plasma. Meanwhile, the size and density of dust particles can affect the effective collision frequency of dusty plasma and strongly influence the EM wave propagation characteristics. By analyzing the propagation characteristics of different external magnetic fields to circularly polarized waves, changing the size and direction of the external magnetic field can artificially control the low coefficient band range and size of the EM wave transmission coefficient in dusty plasma. These results provide a theoretical basis for the study of EM wave propagation in weakly impacted fully ionized dusty plasma and communication problems in near space.