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We discuss the effect of surface roughness on the surface polariton modes on semi-infinite superlattices. We have derived the Green's function for the Maxwell equations in the case of a semi-infinite superlattice with a smooth surface. The dispersion relations for surface polaritons in the case of a rough surface, are then obtained; The main conclusion is that in this case a new mode, the surface localized TE surface polariton, appears, as can be tested experimentally.
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