A new BGK model to compute the scattering characteristics of electromagnetic waves by weakly ionized dusty plasma shroud

The dynamics theory of dust charging in the Bhatnagar–Gross–Krook (BGK) model is changed, and the updated expression of the complex permittivity for weakly ionized dusty plasma is derived. Then, by using the physical optics method, the radar-cross section (RCS) of electrically large blunt cones covered by dusty plasma with weak ionization is calculated under the new complex permittivity and compared with the traditional results. The numerical results indicate that the new values of the RCS are significantly smaller than their traditional values. In addition, the influence of dust plasma parameters on the scattering characteristics of EM waves is discussed under the new BGK model. The results enriched the physical mechanisms of the scattering characteristics of weakly ionized dusty plasma shroud and provide a theoretical basis for future studies.The dynamics theory of dust charging in the Bhatnagar–Gross–Krook (BGK) model is changed, and the updated expression of the complex permittivity for weakly ionized dusty plasma is derived. Then, by using the physical optics method, the radar-cross section (RCS) of electrically large blunt cones covered by dusty plasma with weak ionization is calculated under the new complex permittivity and compared with the traditional results. The numerical results indicate that the new values of the RCS are significantly smaller than their traditional values. In addition, the influence of dust plasma parameters on the scattering characteristics of EM waves is discussed under the new BGK model. The results enriched the physical mechanisms of the scattering characteristics of weakly ionized dusty plasma shroud and provide a theoretical basis for future studies.