Effects of a static and an magnetic field electron beam on the linear propagation of dust acoustic mode

Dusty plasma consist of electron, ions, electron beam as a separate component and charged dust grains observed in several astrophysical and space environments such as nebulas, planetary rings, and planetary ionosphere. The physical and optical properties of plasma are depend on dynamic of species in the discharge volume, then the presence of an electron beam and external static magnetic field in a dusty plasma can modify the plasma structure. In this study, we proved the linear propagation in the non-collision dusty plasma. The results revealed that the propagation of acoustic waves in the dusty plasma can be controlled by adjusting the electron number density of the electron beam and the external magnetic field.