Abstract
In this paper, the electromagnetic fleld of a horizontal inflnitely long magnetic line source over the dielectric-coated earth is treated analytically, and the complete approximate solution for the radiated fleld under the far-fleld conditions is outlined. The total fleld is composed of four modes: the direct wave, the ideal re∞ected wave or image wave, the trapped surface wave, and the lateral wave. In particular, the complete analytical formulas are obtained for both the trapped surface wave and the lateral wave. The trapped surface wave is determined by the sum of residues of the poles. When the inflnitely long magnetic line source or the observation point is away from the planar surface of the dielectric-coated earth, the trapped surface wave decreases exponentially with height, and the total fleld is determined primarily by the lateral wave. When the conductivity of the earth is large, and both the inflnitely long magnetic line source and the observation point are on or close to the air-dielectric boundary, the total fleld is determined primarily by the trapped surface wave.
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