The patterns of small dipole and loop antennas mounted on or near a perfectly conducting cylinder of elliptical cross section are calculated by determining the open-circuit terminal voltages of the antennas when receiving plane waves. The antennas are assumed to be such that they cause negligible distortion of the field when they are open-circuited, thus reducing the problem to that of calculating the diffraction of a plane wave around the cylinder. The results have applications in the design of aircraft antennas and slotted-cylinder antennas.
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George Sinclair (1951) studied this question.