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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-inflnite rectangular waveguide, excited by a fundamental wave of H10 type is solved using a rigorous self-consistent formulation. The starting point for the analysis is the one-dimensional integral equation for the equivalent magnetic current in the slot, obtained by using the efiective thickness of the slot. The asymptotic solution of the equation was found by the generalized method of induced magnetomotive forces (MMF). The physical adequacy of the constructed mathematical model to the real physical process is conflrmed by experimental data. In∞uence of the sphere radius upon energy characteristics of the slot radiator was investigated numerically. It was shown that at any frequency of waveguide single-mode range, the radiation coe-cient of a spherical antenna can be made close to one by choosing the slot length, the sphere radius and the waveguide height. Conditions for correct application of inflnite screen approximation for spherical scatterers with su-ciently large radii are formulated.

ELECTROMAGNETIC WAVES RADIATION INTO THE SPACE OVER A SPHERE BY A SLOT IN THE END-WALL OF A SEMI-INFINITE RECTANGULAR WAVEGUIDE