Abstract: The properties of surface waves along the single-negative slab waveguide are analyzed in this paper. According to the eigen equations, the graphical-solution technique is used to get dispersion curves profiles and energy flux distribution profiles of odd and even symmetric TM surface modes which propagate along the epsilon-negative slab. It is found that surface waves propagate along the single-negative slab more slower than that along the double-positive or double-negative slab waveguide; Field and energy are confined on the top and bottom surfaces; Energy fluxes of odd and even symmetric surface waves have opposite directions in a certain frequency range. It is proposed that a power divider and a directional coupler can be constructed by a single single-negative slab. This simplifies the