O.K. David
If you saw an array where two vectors were in the forward direction
would that make you curious?

If you saw an array that was not limited to a particular plain would
that make you curious?

If the elements in the array were resonant but of different lengths
would that arouse your curiosity?

if you saw such an antenna would you try to explain how the features
were obtained?

If I gave a design that I pulled from a college book where it supplies
all the mathematical numbers produced by conventional mean would you
place that design on a program of your choice and explain why they
produce the same results and why the college professor who authored the
book is unqualified to teach the antenna subject anywhere?
You have seen one? pray tell me where
Well, I will give you the opportunity somehow and place it on the net
and then you can take the subject up and point things out to all how
the desirables came about. You can then leave the scene so others can
say that is nothing new or I knew that or who cares.etc
David I promise you that I will give you the oportunity to shine where
I was dull, to explain the ins and outs of an array that you will not
find in the books, and where you can supply original thought or
possibly say what is shown is impossible, or the other favorable quote
made often on this news group....... I don,t understand the best cop
out of all.
I believe that you deserve the first shot at it to show me the error
of my ways in front of the silence of the lambs.
My very best regards and nothing personal
Have a happy Xmas
Art Unwin



David wrote:
The closest thing to this I came across is Hertzian dipole fields via
looking at static/quasi-static waves.

Quick summary below without reproducing lots of formulas:
The hertzian dipole is 2 charges +q and -q connected together by wire. q=
I/w sin wt. -q= -I/w sin wt.The formulas are then followed through and
solved to obtain 1/r terms which are in phase. Obtain power crossing a
closed surface. Poynting vector must have a 1/r squared term, and formulas
for E and H must have 1/r terms and be in phase. The formulas for E and H
fields then satisy Maxwells equations. The formulas obtained via the
quasi-static fields route are the same as those obtained via the magnetic
vector potential route.