Method of collocations in the self-consistent problem of radiation from a round hole in a conducting screen

The formulation of a self-consistent problem of radiation from an aperture in a conducting screen is considered. The problem reduces to a system of homogeneous integral equations, that is, we formulate a homogeneous boundary value problem for eigenfunctions and eigenvalues, which is solved by the collocation method. A procedure is proposed for implementing the latter in application to asymmetric and symmetric radiation fields.