Electrodynamic analysis of helical radiators located on an elliptical surface

On the basis of integral representations of the electromagnetic field, mathematical models of the spiral radiators located on the surface of an ellipsoid are constructed. The internal electrodynamic problem is reduced to the set of linear algebraic equations written with respect to unknown values of current on radiating elements. In the band of normalized frequencies, the input resistance of antennas and the distribution of currents over the branches of spirals are calculated. Analysis of the frequency dependences of the input resistance makes it possible to reveal the phenomena of the parallel and serial macroresonance caused by the shape of the surface containing branches of spirals.