Wave propagation of a plasma crystal in a magnetic field

Summary form only given. Micro particles that are introduced into a plasma environment charge up to a high negative value due to ion and electron bombardment. As a result of the strong Coulomb interaction? between the particles often so-called "plasma crystals" are built up. These systems show a variety of wave phenomena like dust acoustic waves, dust shear waves, etc. that have been investigated partially only. In this paper, the wave dispersion relation is analyzed in a two-dimensional plasma crystal under magnetic field influence by theoretical analysis and molecular dynamics simulation. An expression for the wave dispersion relation clearly shows that the longitudinal and the transverse modes in a plasma crystal are coupled due to the Lorentz force acting on dust particles. The dispersion relation has a high- and a low- frequency branch. Our analysis shows that the high-frequency branch has a cut-off at the cyclotron frequency of the dust particles, and the wave polarization drastically changes with magnetic field strength. In this presentation, we also report on the experimental results of the wave propagation in a magnetized dusty plasma.