Singular integral equation for an electric dipole taking into account the finite metal conductivity from which it is made

A singular integral equation for an electric dipole has been obtained, which makes it possible to take into account the finite conductivity of metal from is made. The derivation based on application Greens function free space, written in a cylindrical coordinate system, taking absence dependence field azimuthal coordinate, point source located surface dipole. Methods its solution are proposed. In contrast well-known mathematical models dipole, built approximation ideal conductor, use obtained this work heat losses and calculate efficiency.