Dust Lattice Waves of Dusty Plasma Chain with an External Magnetic Field

Dust lattice waves of a one-dimensional plasma crystal chain with an external magnetic field are investigated. When the magnetic field is in the vertical direction (θ=0), perpendicular to the chain, the vertical transverse mode is not affected, while the horizontal transverse mode is coupled with the longitudinal mode. In the high frequency range, we obtain an `upper-hybrid' dust lattice mode and in the low frequency range, we obtain a `lower-hybrid' dust lattice mode. Between the two modes, a `gap' is formed. When the
magnetic field is oriented to the chain (θ=π/2), the longitudinal mode is not affected while both the horizontal and vertical transverse modes are shifted due to the effect of the magnetic field.