Very cool, Roy. Thank you for this, this is good information that makes 
sense to me. There is a lot in there to think about and apply to the 
application for which I'm analyzing this antenna.
When you talk about the current maximum and loss of a radial, you bring up 
another question. My 1/2 wave vertical is going to have a much higher 
feedpoint impedance than a standard 1/4 wave vertical. Let's say it's 
somewhere around 2000 ohms as compared to 40 or so ohms for a 1/4 wave. What 
effect does that higher feedpoint impedance have on the radial system? Does 
it relax the requirements for the number or radials or the length of them? 
Does it mask the loss that you'd have normally? Or do the "rules" of adding 
radials apply no matter what the vertical's input impedance?
Thanks very much.
Al W6LX
"Roy Lewallen"  wrote in message 
news

4CdnVoHG_g30pXVnZ2dnUVZ_vudnZ2d@easystreeton  line...
 Al Lorona wrote:
 Hi, Everybody,
 In the process of modeling a vertical antenna (specifically, I am using 
 EZNEC 5.0) I am noticing an effect I did not expect which could be the 
 result of a modeling error on my part.
 The antenna is a 34-foot vertical above (12) 34-foot radials, making it a 
 1/4 wave on 40 and a 1/2 wave on 20.
 On 40, the antenna works as I expected; as the ground conductivity goes 
 up, the gain and efficiency of the antenna both increase, too.
 But on 20, if I increase the ground conductivity from, say, 0.005 to 
 0.008 S/m, the max gain and efficiency *decrease*! This is 
 counter-intuitive to me.
 Can anyone point to something I'm doing wrong?
 Thanks,
 Al  W6LX
 Ground loss is a sort of impedance matching problem. If you have perfectly 
 conducting ground, there is no ground loss. If you have perfectly 
 insulating ground, there is no ground loss. There's always some ground 
 conductivity in between those extremes at which the loss is maximum. This 
 value depends on the frequency among other things. Try a wider range of 
 conductivities and you'll find this point.
 You should also be aware that if you have radials which are above but 
 close to the ground, half wavelength ones can be considerably less 
 efficient than quarter wavelength ones. One reason is that the points of 
 maximum current are out near the centers of the radials, where they induce 
 current into the lossy ground. When the radials are a quarter wavelength 
 or shorter, the current maxima are near the center, so their fields nearly 
 cancel. Another often-overlooked fact is that radials very close to the 
 ground are electrically considerably longer than when more elevated. So 
 radials which are a quarter wavelength in free space can have their 
 current maxima well out from the center which results in lower efficiency.
 Roy Lewallen, W7EL