Although associated with the planar configuration of Fig. 14.8.1 in this section, the…
Although associated with the planar configuration of Fig. 14.8.1 in this section, the transmission line equations, (4) and (5), represent exact field solutions that are, in general, functions of the transverse coordinates as well as z. Thus, the transmission line represents a large family of exact solutions to Maxwell’s equations. This follows from Prob. 14.8.1, where it is shown that the transmission line equations apply even if the regions between conductors are coaxial, as shown in Fig. 14.2.2b, with a material of uniform permittivity, permeability, and conductivity between and
. At
, the transmission line conductors are “open circuit.” At
the applied voltage is Re
exp
. Determine the electric and magnetic fields in the region between transmission line conductors. Include the dependence of the fields on the transverse coordinates. Note that the axial dependence of these fields is exactly as described in Examples 14.8.1 and 14.8.2.
Fig. 14.8.1