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Bob I know you don't care, but my point was I was guessing that there might be a reason for a gamma if the radials were set closer that a 1/4 wavelength away for the base of the monopole, like the antennas we are talking about.

 

Why does it piss you off that I tell you when I don't understand something? Does everything have to be about our pride in expression.

 

I tried telling you already that when I first read that article I thought that discussion, your Fig 8, was talking about tuning the antenna...either at the base or farther up the antenna.