Mailing List lml@lancaironline.net Message #40730
From: Paul Lipps <elippse@sbcglobal.net>
Sender: <marv@lancaironline.net>
Subject: Counterpoise revisited
Date: Sun, 18 Mar 2007 10:15:42 -0400
To: <lml@lancaironline.net>
    The way to get better performance out of your monopole-over-conductor (ground-plane) antenna is to understand how it operates. Here's my attempt, and I hope it's not too feeble. Picture a wooden pencil, the kind with an eraser, standing on-end, eraser up, in the center of a round mirror which has a diameter of two pencil lengths. Now let's look at this from a distance, looking down at a 45 deg angle to the pencil. The distance must be enough so that the image we see is coming at us as close to a plane-wave as possible, where all parts of the image are at the same angle as received by the eye. At least ten mirror-diameters will be fairly good. What we will see is a pencil with an eraser on each end that has a total length of 1.4 pencil-lengths. Note that the eraser on the lower half is right at the forward edge of the mirror. The image of the pencil has become inverted and added-on to the bottom of the real pencil.  Now let's drop our line-of-sight  to where we are looking down at 30 deg. Now we see a pencil whose upper-half is 87% of a pencil-length long, but the lower image is only a partial pencil; the upper portion has dropped off the edge of the mirror. If we made the mirror 73% larger, we would just be able to see the eraser on the bottom.
    Basically this is the same as the monopole, the pencil, over a ground-plane, the mirror. The analysis of the monopole speaks about the "image" antenna, the one that forms the bottom portion to a plane wave arriving from a distant source. We can say that the incident RF wave bounces or reflects off the ground plane up into the monopole to give us twice as much energy. Just as in our light reflection, the RF wave, in reflecting off the ground plane, has its RF voltage inverted so that it adds to the direct monopole reception. And just as when the mirror wasn't long enough initially to show us the whole lower-half of the image at lower angles, so, too, does our reception drop off at lower angles when the ground-plane is short. There is less energy being reflected up into the antenna element. You can see that to get full rececption at very shallow angles requires a very long ground plane. And where does most of our reception come from? Very shallow angles! That is why the dipole is so much better than a monopole with an abbreviated-length conductor below it. The only thing that prevents the monopole from performing too badly is that most of the antenna's current, which is what causes the radiation, is in the feed-end; maximum at the feed, zero at the tip. So even the abbreviated image is of the stronger radiating portion.
    Now I spoke of the signal bouncing or reflecting off the ground plane. It doesn't! What actually takes place is that the incident electromagnetic wave induces a current in the ground plane which then re-radiates the signal. If the ground plane is not highly conductive, then the re-radiated signal will not be as strong. This current that is induced is only in a very, very thin layer of the ground plane in what is called skin-effect. For copper at 20C it is 2.61 inches / F^1/2 , or 20.6 nano-inches, 2.06E-08" at 127 MHz! So even 0.001 copper will give an excellent ground-plane at our Localizer, VOR, and Comm frequencies; it will be almost 50,000 times as thick as the necessary thickness. But I can't imagine that a paint highly-loaded with conductive material would be able to have the required conductivity in such a thin layer. It may look highly conductive in thicker layers, but that's not what counts.
    BTW; the antenna  transmits just as well as it receives with the wave going in the opposite direction; an antenna is considered a reciprocal radiator. That is, as long as the transmitted power doesn't get the ground-plane too hot where its conductivity decreases or it melts!
 
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