Rigorous analysis finite length insulated antenna in air

A Weiner-Hopf-type analysis is used to solve the problem of a dielectric coated dipole antenna in free space. Analytic expressions are derived for the input admittance and the current distribution along a center-fed antenna excited across a gap of nonzero width. Such expressions are represented in terms of a function representing the aperture-gap field, which is considered equal to that at the gap of a similar solid insulated antenna with infinite extension. Results are in very good agreement with reported experimental results at different outer radii and dielectric constants of the dielectric coating for different antenna lengths. The numerical work involves only the determination of certain integrals using standard integration routines