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The problem of an antenna mounted on a conducting body is formulated by using a modification of the isolated thin-wire kernel with the numerical Green's function for the body. This formulation is then employed for the investigation of the problem of a monopole antenna over a finite ground plane. The numerical Green's function for the plate is obtained by applying the finite-difference technique, which has previously been successfully applied to the thin-wire junction problem. A user-oriented Fortran program is developed, and extensive numerical results are reported.