A long standing problem in antenna theory has been the accurate determinati
on of the input admittance of coaxially excited antennas. While reasonably
accurate results have bee;l obtained for a range of problems using the so c
alled "TEM approximation'' for the coaxial aperture electric field, these r
esults nonetheless contain an error of small but unknown extent, By examini
ng the infinite coaxially excited antenna problem this approximation error
has been quantified and a simple approximation factor has been deduced, Thi
s correction factor is applicable to a range of antenna problems having a c
oaxial source geometry.