Theory of Surface Magnetoplasma Wave in Weak Spatial Dispersion Region

Abstract

The dispersion relations are calculated for surface plasma waves propagating along the surface of a semi-infinite conducting medium in a d.c. magnetic field perpendicular to the surface. The nonlocality of the dielectric function in the weak spatial dispersion region and the retardation effect are taken into account. It is shown that a small gap appears in the dispersion curve when ω_p>2ω_c(ω_p and ω_c are the plasma and cyclotron frequencies, respectively.) The polarization and the penetration depth of the wave are also calculated.