Ron wrote:

This was only a mental exercise to help me visualize the concept of
gain. No resemblance to a real antenna or RF field was intended.
Thinking about it has helped me understand what antenna gain is
(assuming my conclusions are correct). And that's all it was supposed to
do. I hope it has helped someone else to do the same.

Ron

I think it was a good exercise, Ron - not unlike the kind seen in a good
text book. My response at the bottom presumed some things about the
nature of the sphere that were somewhat unclear in your message. I hope
I presumed correctly.

73, ac6xg

Jim Kelley wrote:



Ron wrote:

Question (repeated here for convenience):
--------------------------------------------------------------------
Assume a receiving antenna is in the center of a sphere and the
received signal is coming in equal amounts from all points on the
surface of the sphere. Which receiving antenna would capture more
power, an omni or a high gain beam? There are no noise and no losses.
---------------------------------------------------------------------

First, thanks for all the comments. They have helped me better
understand the answer. I am leaning toward the belief that the omni
(isotropic) antenna would capture more power and, as odd as it may
seem, would have more gain than a high gain beam (or any other
directional antenna for that matter). Here is my thinking:

This is a very unusual RF field. Usually the field is assumed to be
planar with coherent rays - then antennas behave as expected. But
this field originates uniformly from all points on the surface of a
sphere.



Uniformly inward, outward, or both?

It does not spread but converges at the focal point of the sphere.



By focal point of the sphere do you mean the center of the sphere?
How big of a sphere are we talking about, and where is the antenna in
relation to the sphere?

An isotropic antenna placed at the focal point would collect all of
the rays whereas a directional antenna at would not.



Probably.

Therefore, in this particular situation, the isotropic would have
higher gain and capture more power than any directional antenna.



Not according to the accepted use of the term 'gain' in connection
with antennas.

Please correct me if I am wrong.

Ron, W4TQT



In the instance you describe, the antenna with gain will pick up less
signal than an antenna without gain. The gain antenna will be able to
sense signal arriving from only a fraction of the sphere, whereas the
isotropic antenna responds to signals arriving from the entire 4-pi
sphere. Therefore, the antenna with less gain produces the greater
signal level. But this should often be the case when a directional
antenna is pointed away from most of the signal. The omni, on the
other hand, is 'pointed toward' this particular signal in all directions.

Out of curiosity, what kind of signal source are you interested in?

ac6xg