Dielectric coated scimitar antenna on a cylindrical ground surface

The current distribution within a scimitar antenna mounted on a cylindrical ground surface and the resulting radiation field are calculated. The analytic solution to the first part of this problem is obtained through a sequence of conformal mappings, simplifying the geometry of the original antenna form, and then employing some of the boundary value problem techniques in the case of the last configuration obtained after transformations. The graphical solution employs the curvilinear squares formed by equipotential and current flux lines. A relaxation method is used to obtain the numerical solution for the simple transformed antenna shape. Analytic expressions are found for the field components, antenna impedance, and combined effect of many antennas. The effect of a cylindrical ground surface is to increase the isotropic nature of the field pattern. The dielectric coating deteriorates the frequency independence especially at high frequencies.