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In this paper, the propagation model considers the two half-spaces as a homogeneous isotropic medium and one-dimensionally anisotropic medium. From the exact formulas for the transient field with delta-function excitation, it is obtained readily the exact formulas for the transient field excited by a horizontal electric dipole with Gaussian excitation when both the dipole point and field point are located on the boundary between a homogeneous isotropic medium and one-dimensionally anisotropic medium. It is seen that the final exact formulas can be expressed in terms of several fundamental functions and finite integrals, which are evaluated easily. 308 Wang, Ren, and Li

EXACT TRANSIENT FIELD OF A HORIZONTAL ELECTRIC DIPOLE EXCITED BY A GAUSSIAN PULSE ON THE SURFACE OF ONE-DIMENSIONALLY ANISOTROPIC MEDIUM