Theory of electromagnetic monitoring of conducting conical bodies

Abstract

We present the solution of an axisymmetric problem of diffraction of electromagnetic fields on perfectly conducting conical shells. By assuming that the required solution is representable as a Kontorovich-Lebedev integral, we reduce the problem under investigation to a Fredholm integral equation of the first kind, whose solution has the form of a series in Bessel functions. For a radial electric dipole placed on the symmetry axis of the cone, the problem is reduced to two coupled infinite linear systems in the unknown expansion coefficients. We consider the case of low frequencies. The expression for the scattering diagram is obtained for the case of diffraction of plane waves by passing to the limit. The characteristics of the diffracted field and the possibility of control over certain parameters of the conical shell are studied numerically.