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I0OJJ  > ANTENN   01.07.10 21:03l 40 Lines 1914 Bytes #-5797 (0) @ WW
BID : 19059I0OJJ
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Subj: Re: language and antenna gain
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Richard Fry wrote:
> . . .
> A typical r-f ground loss even in a set of 120 each, 1/4-wave-long
> buried radials is on the order of two ohms.  So referencing the
> example in the link to Kraus that I posted earlier, the radiation
> efficiency of that helically-loaded monopole system with a two ohm r-f
> ground would be about 0.6/2.6 = 23%, approximately.
> 
> The loss of a radial system using 0.1-0.2 lambda conductors would be
> significantly higher, so the antenna system radiation efficiency then
> would be significantly less than 23%.
> 
> A naturally-resonant, unloaded monopole about 1/4-wave high has a
> radiation resistance of around 34 ohms.  When it is used with a two
> ohm r-f ground, the radiation efficiency of the antenna system is
> about 34/36 = 94%.
> 
> RF

Although 2 ohms is a reasonable approximation for 120 radial ground 
system resistance, it varies not only with ground quality and frequency, 
but also antenna height. For example, an NEC-4 simulation for vertical 
radiators at 3.7 MHz with 120 radials, each a free space half wavelength 
long buried 0.1 meter in average soil, shows 3.25 ohms ground system 
resistance when the radiator is 0.24 wavelength high (nearly resonant). 
When the radiator is shortened to 0.12 wavelength, the ground system 
resistance increases to 4.30 ohms. And with a 0.06 high radiator, the 
ground system resistance nearly doubles to 8.06 ohms. This decreases the 
efficiency of the very short radiator by about an additional 3 dB beyond 
what it would be if the ground system resistance were fixed at 3.25 ohms.

I believe the ground system resistance increase with short radiators is 
due to concentration of the field very close to the antenna, resulting 
in much higher ground currents in that region. It would probably be 
useful to use a larger number of radials, which could be shorter, when 
the radiator is very short.

Roy Lewallen, W7EL



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