Pattern of an antenna on a curved lossy surface

Extensive numerical results are presented for the radiation fields of electric and magnetic type antennas mounted on smooth curved surfaces of finite conductivity. The model chosen is a circular cylinder whose surface impedance is specified. A residue series representation is employed for the portion of space deep in the shadow while a geometrical-optical representation is used in the "lit" region. In the penumbra, the fields are expressed in terms of the "Fock functions." The results are also applicable to other smoothly varying curved surfaces such as spheres, parabolic cylinders, and paraboloids. As an application, the
E
-plane patterns are computed for a small loop antenna on a spherical earth for both sea and land illustrating the so-called cut-back effect.