The biconical antenna in a radially stratified medium

The theory of a transmitting biconical antenna in a radially and continuously stratified medium is developed; its input impedance is computed and plotted vs. its length for various media and cone angles. The medium extends to infinity and is characterized by a complex dielectric factor
\xi=\epsilon-i\sigma/\omega=\epsilon_{0}f(r)
, where
r
is the radial distance from the center of the antenna. For the "stratification function" the form
f(r)= (kr+a)/(kr+b)
is considered, where
a
and
b
are constant parameters, in general complex. The plots clearly exhibit all effects of dissipation and stratification expected on physical grounds and observed experimentally for dipole antennas.