Hertz dipole radiation in the presence of a penetrable prismatic surface-application to UHF wave propagation over hilly terrains

We follow the formulation of Papadopoulos and Chrissoulidis (2000) to study both electric- and magnetic-dipole radiation over a prismatic surface. The exact solution to the problem of dipole radiation over a conductive half-space, Sommerfeld (1949), serves as a physical optics (PO) approximation of the field on the illuminated faces of the surface. Fictitious line sources are introduced along the edges of the surface to provide a correction to the PO field. Uniformly valid expressions for the radiated field are obtained through use of asymptotic integration techniques. Maps of the constituents of the radiated field over an island are presented. Field variation with excitation frequency is also investigated