"Art Unwin" wrote
I will look at the URL later.

We all know that already you have looked at it, Art.

Now I put the resonance as second to equilibrium as with
equilibrium the need for a ground plane is negated.

"Now" that possibly you might understand that resonance of antennas is
unimportant? (Let us hope so.)

Also note that none of the Masters which you continually reference has
written anything whatsoever about any "equilibrium" needed for the efficient
radiation of antenna systems, with or without a "ground plane."

2. The characteristics plotted are not related to azimuth, therefore
the performance of a broadcast monopole will not be enhanced by
"tipping." If it was, AM broadcast stations would have been doing
so starting 70 years ago.

Brown had no reason to isolate horizontal propagation from vertical
propagation and because construction is way more simple relative
to Earth there is no reason to reinvent the wheel.

Arthur -- please note that a vertical monopole generates only
vertically-polarized EM waves in the far field. Brown had no need / reason
to investigate or comment on h-pol fields from such radiators, as for the
conditions of his investigations they did not exist.

The Yagi method of radiation is a very good approximation even tho
it disregards the weak force as it deals more with total gain versus
the polarity of the field.

"Polarity" is not synonymous with polarization, Arthur. Please learn and
respect the difference, if you wish your posts to be (somewhat) more
credible.

RF