The explicit formulas of the electromagnetic field produced by a vertical electric dipole in a negative-index medium coating a non-perfect conductor slab is derived.The contribution of three kinds of wave number to the total field is discussed and investigated.The wave-number of the surface wave is between the wave-number in the air and that in the negative-index media.Because the contribution of each types of wave varies with the medium parameters,the amplitude of total field as function of distance is complicated.
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