Theoretical study of Maxwell-Vlasov equations in the region exterior to a perfectly conducting infinite cylindrical antenna

Both the formation and the solution of the Maxwell-Vlasov equations for a hot, isotropic, homogeneous plasma which occupies the region exterior to an infinitely long, perfectly conducting rigid cylinder are considered. The problem is formulated rigorously. The assumption of circular symmetry and specular reflection of electrons at the antenna surface yields coupled integral equations in radial and axial electric-field components. The kernels of these equations are complicated six-fold integrals. The boundary relationship between the perturbed electron distribution function and the electric field at the antenna surface can be simplified under certain conditions. Subject to these conditions, the equations are then solved for Fourier-transformed antenna current and charge distributions maintained by a delta-function generator at the center of the antenna. (author)