Surface modes in slab waveguides with a left handed materials cover

The surface mode propagation along a dielectric slab waveguide which consists of the core and substrate of right handed materials (RHM) and the cover of left handed materials (LHM) is studied. The normalized frequency and normalized propagation constant are introduced to the left-handed material slab waveguides. The dispersion relations expressed by the normalized parameters are derived. Universal dispersion curves are obtained analytically. Based on that, the dispersion properties differ dramatically for different LHM constitutive parameters, the surface TE0 and TE1 modes are internatively obtained. It shows that two different kinds of TE modes compensate each other to form a whole mode.