Radiation Q of practical electrically small cylindrical antennas as a function of aspect ratio - comparison to minimum Q formulas

In a previous paper we compared the radiation Q for practical electrically small antennas as a function of aspect ratio to various minimum Q formulas, including the minimum Q for the first order mode of spheroidal shapes. One conclusion was that the lowest order spheroidal mode does not give the minimum Q because at high aspect ratios certain practical antennas were shown to have lower radiation Q than the lowest order prolate spheroidal mode. We have now developed a true minimum Q formulation for spheroidal coordinates by including higher order modes. This paper is an extension of the previous comparison paper in that the comparison includes the new minimum Q formulation for spheroidal shapes.