Self-consistent problem about radiation from a circular hole in an infinite perfectly conducting screen

In this article, the interpretation of the excitation field in open space looks like the problem of excitation of closed volumes.

The notion of \"self-consistent problem\" in the theory of radiation has been specified. It is shown that its strict wording should generally lead to a system of homogeneous linear integral equations for the tangential components of the fields on the radiating surface, that is, to the problem of the eigenfunctions and eigenvalues. The latter allows you to get a basis for the submission of the tangential component of the electric and magnetic fields on the radiating surface. As each function of the basis is solution of the self-consistent problem, the calculation of the field produced by a source aperture corresponds to the antenna problem in a rigorous formulation.

Numerical experiment showed that the self-consistent problem of radiation, leading to a system of homogeneous integral equations allows you to find a basis for the problem of excitation of satisfying its solution given the physical conditions and taking into account in this decision the inverse effect of the radiation field at the source.