Ron wrote:
Maybe I should restate my question. 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.

Are you trying to receive the background radiation left over
from the big bang? That's the only source outside of the
sphere that I know of that can accomplish your boundary
condition.
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73, Cecil http://www.qsl.net/w5dxp