On 2 Mar, 14:45, (Richard Harrison) wrote:
Art Unwin wrote:

"I refer you to the thread I initiated on gaussian antennas where Roy
was the first to respond."

My dictionary says:
"Gauss`s theorem----The summation of the normal component of the
electric displacement over any closed surface is equal to the electric
charge within the surface."

James Clerk Maxwell studied the work of others such as Ampere and Gauss
to develop his equations defining the relationships between fields,
charges, and currents. Maxwell found that dislacement current should
produce radiation the same as conduction current. So he made a
correction to Ampere`s Circuital Law.

Art is right. Discovery is a continuous process. Maxwell`s equations
have now been adjusted for curved space and time.

But, I`ve searched in vain for "gaussian antennas". If Art has an
invention, maybe he will explain.

Best regards, Richard Harrison, KB5WZI

O.K. you haven't been around for a while so I will give you the
benefit of the doubt in that you are not aware of my new series of
antennas that gives the yagi a run for its money and infact meets the
needs of a lot of industries. Many have asked for a mathematical
aproach accepting no other well that is their problem.
I am going back to first principles which most of the masters did
without forsaking equilibrium and the mathematical conformity that
must be kept. So if you have an open mind, pen and paper I will start.

Anybody who is aware of Gauss can think back to the enclosed
ballon or what have you where there is a pill box at one end.
Hopefully you have drawn that. Now on the pill box you should be able
to draw say three static images Hopefully you have done that O.K. Now
some of those who are not familiar with things will get lost at this
time. For the educated you can now modify the static field that you
have drawn and expand it by making it a Conservative field where
theoretical vectors are added to each static partical bearing very
much in mind that all vectors are theoretical and all have "zero"
length.
O.K. take a moment and look at what you have drawn which is a rfield
of projected static particles with theoretical vectors on them and
nothing to show inside the enclosed arbitary border from whence they
came ie we did not show where the static particles came from.
Now when you applied vectors to the static particles you added two
each at right angles to each other, Why? Because for the vectors to
represent a radiating array in any form it must be in all three
cartesian directions.
At this time we will project from each static particles a dotted line
to the end of a element length such that a cluster of elements now
show where the static particals came from.
Hopefully you are still with me.
Gaussian law is o.k. as far as it goes but when deevising antenna
arrays we need something more i.e the addition of time.

So we pull out the written version of gausses static law and enlarge
it to account for a time additive. And we can do this by adding the
metric of a space in time to the original statement bearing in mind
that to do so equilibrium must be maintained.
Dinner is here will resume in half an hour. Take time to think about
what I have discussed so far but without pre descisions so that you
can follow the flow better later.
Art