On the Taylor distribution

The original Taylor distribution was designed to terminate abruptly in a pedestal (
\alpha = 0
) at its edges. It has been found recently, however, that a pedestal cannot be realized exactly in either the
E
or
H
planes, nor even approximately in the
H
plane. A new distribution is derived here that produces a Taylor pattern of order
\alpha = 1
and, hence, that vanishes linearly at the edges. This edge behavior can be realized exactly in the
E
plane and can be approximated as closely as desired in the
H
plane. All practical differences in operating performance between the two distributions have been found to be negligible.