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Re: [TowerTalk] Fwd: Change in Frequency As Antenna Height Rises

To: towertalk@contesting.com
Subject: Re: [TowerTalk] Fwd: Change in Frequency As Antenna Height Rises
From: Bob K6UJ <k6uj@pacbell.net>
Date: Wed, 1 Jun 2016 16:47:03 -0700
List-post: <towertalk@contesting.com">mailto:towertalk@contesting.com>
You guys are way above my head :-)
I had no idea the resonant freq goes up and down as the antenna travels on its way up. I thought it just went up on a steep curve till about 15 feet then gradually after that. I can see why some head scratching as we pass thru the "decrease zone" "what did I do now" hihi
73,
Bob
K6UJ



On 6/1/16 2:11 PM, jimlux wrote:
On 6/1/16 1:45 PM, Hans Hammarquist via TowerTalk wrote:
It seems to me that Steve's, G3TXQ and Dan's, AC6LA diagrams coincide 
pretty well. You find the lowest frequency at about 1/4 wave and max 
frequency at about 1/2 above ground. What I don't understand is how 
the frequency start to decrease at the high increases before it 
reaches 1/4 wave above ground. In my simple mind the fx should start 
to increase as soon as the antenna "leaves round".

To me, and obviously I'm wrong, the capacitance to ground should affect the frequency with the result that the fx should increase when the ground capacitance decreases up to the point where speed of light start to have an effect.

Anybody with a "simple" explanation?

It's basically "not simple" but what you're really looking at is the 
mutual impedance of the dipole with the "image" in the soil. If you 
look at those graphs of mutual Z for two dipoles with variable 
spacing, you'll see a lot of similarity.
What you see as the feedpoint impedance is the combination of the 
impedance of the dipole itself in combination with the mutual 
impedance of the image antenna.
And the "other antenna" is a very lossy one.

With a fair amount of math:
Chapter 23 in Orfanidis's book http://www.ece.rutgers.edu/~orfanidi/ewa/

http://www.ece.rutgers.edu/~orfanidi/ewa/ch23.pdf (page 1057, figure 23.3.2)
There's a simpler plot in the ARRL Antenna book, but it's not online, 
and I don't have it handy.


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