Remember only R is of consideration for the addition of power from each
element which provides flux unless you can quantasize reaction for me
as producing the emmision of flux other than a indication of the
direction it takes .

I assume you are talking about radiation resistance.
There are other R's that cause loss of desired radiation
including conduction-dielectric losses. Some signal
is lost to the ground after being radiated.

Assuming that your definition of efficiency includes
beam efficiency, I would suggest taking an optimized
two-element Yagi into EZNEC and determining the maximum
gain. Then replace the reflector by an element identical
to the driven element including the source signal. Using
the same amount of total driving power, if you can come
up with a gain superior to the Yagi, would that prove
the point you are trying to make?
--
73, Cecil http://www.w5dxp.com