Ion-acoustic surface modes of a plasma with kappa distribution

Electrostatic surface waves propagating on the interface between a vacuum and a plasma with kappa distribution are kinetically derived by using the Vlasov-Maxwell equations. The plasma is semi-bounded, uniform, isotropic, collisionless, and unmagnetized. A specular reflection condition in which the charged particles undergo a mirror reflection is used for the boundary condition on a small perturbation distribution. It is shown that the ion-acoustic surface modes can be varied with the values of the spectral index $\kappa $, especially in the long wavelength limit.