Dispersion relation of surface magneto-plasmons

Surface plasmons are collective oscillations of free electrons, having electromagnetic fields localized at the metal-vacuum interface. Configuration of two metal surfaces separated by a vacuum region is used for the study. Surface plasma waves having amplitude maximum at the two metal-vacuum interfaces and minimum in the middle are investigated by deriving the relevant dispersion relation in the presence of external static magnetic field. By this dispersion relation, an analytical function for the wave vector in terms of the phase velocity and the cyclotron frequencies are established. Dispersion relation is compared by varyirng the direction and strength of static magnetic field B_s.