The Integral Equation and Boundary Conditions for a Cylindrical Antenna in a Warm Plasma


  • Douglas H. Preis


The linearized, continuum fluid-dynamical equations for a warm, collisional electron plasma with independent source terms are presented, and their applicability to boundary-value problems is discussed. Boundary conditions are developed for a perfectly conducting cylindrical antenna immersed in the warm collisional plasma and excited by a delta-function generator. An integral equation relating the antenna surface current and charge is derived based upon all the conventional boundary conditions and the requirement that proper continuity be maintained between the antenna and the plasma. The deficiency of other integral formulations, including the grid-type dipole, is discussed.