TOWARDS A THEORY OF THE SYNTHESIS OF ANTENNAS WITH VOLUMETRIC DISTRIBUTION OF SOURCES,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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A problem is considered of calculating the directional pattern on the basis of a continuous distribution of spatial density of external currents specified in a bounded region. The problem is reduced to constructing the vector eigen-functions of an integral operator defined on a sphere. It is proven that the operator is self-adjoint, bounded, and continuous for any finite volume of current distribution. The conditions are determined of an optimal solution which corresponds to the maximum ratio of radiated power to the external current norm. A rigorous solution of the problem, for the radiating regions that have a spherical-layer and spheroid-layer shapes, is presented as an illustration.
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