Abstract
An equivalent nonuniform transmission line model for electromagnetic
radiation in free space is developed. By properly defining a voltage and
a current associated with the transverse component of the mode fields, a
kind of Telegraphers’ equation is derived for each spherical harmonic
mode. Based on the equivalent distribution inductance and capacitance,
the local characteristic impedance and phase velocity are derived. For
each spherical mode, a cutoff spherical surface and an associated cutoff
radius are introduced to separate the space into an evanescent region
and a propagating region. A spherical mode field will decay
approximately exponentially in the evanescent region and experience
local reflection in the propagating region. The proposed model may
provide an intuitive illustration for the radiation process in free
space.
This work is also part of my efforts in revisiting the issue of
electromagnetic radiation and mutual coupling. Although the concepts I
proposed, like the macroscopic Schott energy and this NTL model, may
look strange and different from the conventional formulations, I believe
they can provide intuitive and insightful interpretattion to the issue
of EM radiation.