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I agree that Eznec doesn't seem to ever show RF below the horizon when set to a real Earth pattern, and I didn't mean to suggest that just because this is what Eznec shows, is what happens with a real antenna over Earth.

 

But, I'm dubious that an antenna connected to Earth, within reason, will ever be totally free of Earth's ground affects on the pattern, such as not to alter the free space pattern. That is unless we are supposed to be considering "free space" as installing an antenna in a flat open field for many wavelengths.

 

On the other hand I have seen Eznec free space model patterns that showed the maximum RF below the horizon...with a -5* degrees for example. I think I posted one in this thread or my New Top One thread.