Field near the interface of a jungle dielectric slab

The transmitted far field of a short vertical dipole located in a jungle dielectric medium is evaluated by the steepest-descent technique. At near-grazing angles of transmission, the technique is modified to account for the influence of the branch point. The influence is found significant only in the field amplitude and is confined within a short distance from the jungle-air interface, within which the difference between the path of the geometric-optical wave and that of the lateral wave is less than a wavelength.