Spherical antenna excited by a slot in an impedance end-wall with losses of a rectangular waveguide

The problem of electromagnetic waves radiation into a space outside a perfectly conducting sphere through a narrow slot, cut in an end-wall with an impedance end-wall with losses of a semi-infinite rectangular waveguide, excited by a wave of H10 type is solved using a rigorous self-consistent formulation. The asymptotic solution of the integral equation for a magnetic current on the aperture of slot was found by the generalized method of induced magnetomotive forces (MMF). Influence of the sphere radius and impedance of end-wall upon energy characteristics of the spherical antenna was investigated numerically.