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Although knowledge of surface ground conductivity and dielectric
constant is much better than nothing, unfortunately it's still not enough to get truly accurate results from modeling or calculation. Most grounds are stratified, as anyone can discover by digging a few feet down, with layers which can be vastly different. The skin depth at 3.5 MHz in average soil is 16 feet, and at 7 MHz and above about 13 feet(*), which means that significant current flows to depths several times these values. To make an accurate representation of the ground would require knowledge of the ground characteristics to several tens of feet. Fortunately, horizontally polarized antennas are quite insensitive to ground characteristics except at high elevation angles. So for amateur purposes, it's of interest mostly for vertical antennas and NVIS operation with horizontal antennas. To accurately predict the field strength for vertically polarized antennas, you would need to know ground characteristics typically for a few hundred feet from the antenna (depending on the height and current distribution on the antenna and the elevation angle of interest) -- the distance at which the field from the antenna strikes the ground and reflects to interfere with the direct field. This is admittedly a simplification of what really happens, but the distance where the effects occur is approximately right. You also need to know the ground characteristics in the close vicinity of the antenna to evaluate the efficiency of an antenna having a radial system. Besides the problems of stratified ground, many of us live in an urban environment where buried utilities, pipes, reinforcing bar, and houses are likely to be within the radius of interest. Finally, even if you had exact information about each layer of a stratified ground, I don't know of any readily available program which can make use of that information. NEC based programs like EZNEC can accommodate only a single ground characteristic, and assume that the ground is homogeneous to an infinite depth. I'm not convinced that there's any single value which can be substituted for a stratified ground which will behave like the stratified ground. This is the weakest point of currently available modeling programs. But even if they could model stratified ground, you'd have to know values for each ground layer. The method used in broadcasting, where the skin depth is on the order of 25 feet(*), of measuring the attenuation of a ground wave signal over a lengthy path is a much more accurate way of determing overall path loss than simple measurement of surface ground characteristics, since it automatically takes into account all the factors I've mentioned. Again, knowledge of surface ground characteristics is better than nothing, but don't be fooled into thinking that it gives you real information about the ground in which the RF current flows. Had Brown, Lewis, and Epstein measured the surface ground conductivity, it wouldn't have helped us much. (*) You might notice that the skin depths don't follow the familiar rule of decreasing as the square root of frequency. That's because the familiar rule is valid only for good conductors. Average Earth acts like a good conductor below about 7 MHz, but above that it's more like a dielectric, where the skin depth becomes independent of frequency. Consequently it's not less than 12 - 13 feet at any frequency for average soil. Roy Lewallen, W7EL |
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