Fractional dual fields to the Maxwell equations for a line source buried in dielectric half space

Fractional dual solutions to the Maxwell equations for a line source carrying time harmonic current and buried in planar dielectric half space geometry have been derived. Fractional dual solutions may be regarded as intermediate step between the two given canonical cases which are connected through the principle of duality. Original case is an electric line source buried in dielectric half space and dual to the original case is a magnetic line source buried in dielectric half space. For fractional dual situations, impedance of the interface separating the two half spaces has also been determined.