The Approximate Transient Field of a Horizontal Electric Dipole Excited by a Gaussian Pulse on the Boundary Between a Homogeneous Isotropic Medium and One-Dimensionally Anisotropic Medium

In this letter, we examine the approximate transient field of a horizontal electric dipole excited by a Gaussian pulse on the boundary between a homogeneous isotropic medium and a one-dimensionally anisotropic medium in detail. The final formulas of the transient field are expressed in terms of several fundamental functions. The derivations and computations show that the three time-dependent electric field components consist of two lateral pulses which travel along the boundary with different velocities and different amplitudes. Especially, the Fresnel-integral terms in those formulas do not completely cancel for the three electric field components.