The straight wire antenna is approximated by a perfectly conducting prolate spheroid of eccentricity very close to unity. (1) The first three harmonics of the axially symmetrical free oscillations are discussed, with calculation of the wave-length λ and the logarithmic decrement δ. (2) The tangential electric field component of a plane wave with E parallel to the axis of the spheroid is expanded in the prolate spheroidal wave functions of Paper II. (3) The oscillations forced by such a plane wave are discussed for frequencies in the neighborhood of resonance with reference to current distribution, radiation resistance, and scattered field.
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Leigh Page (1944) studied this question.