Gaussian statics law
On 19 Apr, 19:41, Richard Clark wrote:
On 19 Apr 2007 16:26:33 -0700, art wrote:
As far as going with you to review Feynman forget it. If
you can find proof of anything relevent fine it would give a good
starting point as to why antenna engineers declined to pursue the
discovery.
Hi Art,
Feynman merely confirmed the math of 70 years of antenna design before
him. Nothing has altered since 1963, dynamic magnetic fields are
still defined by Maxwell's (Heaviside's) equations, and static
magnetic fields are still defined by Gauss' equations. Any discussion
of the "cessation of time" immediately casts all work into Maxwell's
(Heaviside's) math.
Nothing had to be invented because Maxwell (Heaviside) had done the
basic math long before antennas were ever discovered. In fact, about
190 years ago Augustin-Jean Fresnel beat them all to the punch without
a flicker of electricity or magnetism ever entering the picture.
Antenna engineers have been using Fresnel math too. Amateur radio
operators respond to it every time they complain of picket-fencing on
2M. That math is contained in EVERY antenna modeler that offers
radiation characteristics.
73's
Richard Clark, KB7QHC
It was Gauss who started a progression from statics to
electromagnetics by defining a clustered array as being in equilibrium
within a closed surface in his law of statics
Nobody used this law in the design of a electromagnetic array. There
were mathematical
equations in existance that linked statics and electromagnetic
functions in mathematical terms but there was never a clue as to how
to demonstrate it. Only Gauss gave an "at rest" example of such an
array with his law of statics but even he did not continue with his
line of thought with respect to static particles as being at rest on a
radiating array where the condition of equilibrium could be stated. If
Gauss had continued with his line of thought by being aware of
radiation in terms of radio I am quite sure he would have continued
the exercise with the addition of time. However it is my understanding
that at that time he was residing in Italy and was more interested in
other things. I do not recall Gauss, Maxwell and other masters making
a point of using such a cluster as one of maximum efficiency with
respect to radiation. Nor do I recall any mention where scientists
have used such an example in print and either lauding or decrying its
properties in the light that the ratio of elements vs boom length does
not apply and where a Gaussian array was an example of a non scalar
array. I am sure that it is possible after the event that many clever
people played with such arrays and like you decided it wasn't worth
writing about and so forgot about it.
There are also people who never linked the subject of statics with the
subject of antennas
as mentioned on this newsgroup and I don't remember seeing such an
array in Krauss and Jasik or even the ARRL antenna books which to me
is a real puzzle since you apparently have known about the hints that
Gauss supplied for maximum efficiency radiating arrays for many years.
So I think the time has come since I have described the antenna in
detail that somebody should come forward and share with all exactly
where this application to antennas was reviewed in print or the IEEE
or equivalent so that we can all benefit from this peer review.
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