Exact Formulas for the Lateral Electromagnetic Pulses from a Horizontal Electric Dipole on the Boundary Between a Isotropic Medium and One-Dimensionally Anisotropic Medium

In this paper, the exact formulas are derived for the timedomain electromagnetic field generated by a delta-function current in a horizontal electric dipole located on the planar boundary between a homogeneous isotropic medium and one-dimensionally anisotropic medium. Similar to the isotropic case, the amplitude of the tangential pulsed electric field along the boundary is 1/ρ, which is characteristic of the surface-wave or lateral pulse. The tangential electric field consists of a delta-function pulse travelling in Region 2 (anisotropic medium), a oppositely directed delta-function travelling in Region 1 (isotropic medium), and a final static electric field due to the charges left on the dipole. It is seen that the pulsed electromagnetic field components consist of the first and second pulsed in the two regions with different velocities.