Resonant slot spherical antenna

The problem of electromagnetic waves radiation into a space outside a perfectly conducting sphere through a narrow slot, cut in an end-wall 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 magnetic current on the aperture of slot was found by the generalized method of induced magnetomotive forces (MMF). Influence of the sphere radius upon energy characteristics of the spherical antenna was investigated numerically.