The field of a horizontal electric dipole in the presence of a conducting protrusion

A solution to the problem on the field of a horizontal dipole located over a conducting protrusion is constructed and investigated. The protrusion is a semisphere or a semispheroid having small electric dimensions. The function of the effect of the protrusion on the field is studied in the case when the protrusion's shape changes from a prolate spheroid through a sphere to an oblate spheroid. It is shown that the field scattered by a strongly prolate spheroidal protrusion can be substantially increased in comparison with the field scattered by a spherical protrusion with the same properties.