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Re: [TowerTalk] Verticals on a Hill

To: towertalk@contesting.com
Subject: Re: [TowerTalk] Verticals on a Hill
From: jimlux <jimlux@earthlink.net>
Date: Sun, 20 Jan 2019 11:57:22 -0800
List-post: <mailto:towertalk@contesting.com>
On 1/20/19 8:59 AM, VE6WZ_Steve wrote:
Bill, I agree with your analysis and like you I wish there was a program like 
HFTA out there that could handle a vertical radiator.
My remote QTH is on a gently sloping hill in all direction and is about 100m 
above the surrounding farmland.

Here is a very rudimentary and non-scientific powerpoint which includes a copy of the 
“vertical over sloping terrain analysis” from ON4UN’s book.  I don't know where 
he got this analysis or who did it.  Does anyone know??

https://drive.google.com/file/d/1UP45c5MWaWvA0T9no4DHW060FSgC-3Pk/view?usp=sharing 
<https://drive.google.com/file/d/1UP45c5MWaWvA0T9no4DHW060FSgC-3Pk/view?usp=sharing>


That looks like the "tilt the radiator over horizontal surface, then tilt the pattern to make the radiator vertical" analysis which NEC will do nicely (at least for a uniform surface).




This analysis of an 80m vertical over sloping ground certainly shows that a  
significant low-angle gain benefit of up to 11dB over a flat terrain vertical.  
I include a comparison to other plots from Johns book showing how a vertical 
over saltwater shows a similar outstanding low-angle response, which we have 
all heard in action from various well place DX-peds on the saltwater.  I 
extrapolate this to 160m.

I can only assume that building a HFTA like program for a vertical is a bit 
more complex than a horizontal radiator.

Very much more so.

There's two big problems:

Problem #1

For Vpol, the reflection from the soil is very much affected by incidence angle and soil properties. There's a Brewster Angle where there is no reflection. For Hpol, it's always almost a total reflection, independent of soil properties. Well, the reflection goes from total at low elevation angles (grazing) down to something like 0.8 at vertical incidence, and more importantly, the phase of the reflection is basically constant.
Not so with Vpol.

Polarized sunglasses make use of this.. they're Vpol, because the Hpol constitutes most of the glare in a reflection)


Problem #2
In H-pol, you can use a simple terrain model of a piecewise linear (or interpolated spline) to represent the terrain.. The waves are parallel to the surface, so the calculation is easy. In V pol, the waves are at an angle to the surface, so the calculation is more complex.


---
And then getting to the other problem - most antennas are not surrounded by circularly symmetric terrain (like a eroded lunar crater).. That's a problem for both H and V pol modeling. In real life rays are not constrained to a vertical plane in the direction of propagation.

All of this is solvable - the equations are fairly simple, but it's one of those things where there's not much economic incentive to develop *and validate* the modeling code. It would be computationally intensive, but these days, with inexpensive or free cloud computing resources you can get a lot of computing for very little money.

Get up to VHF, UHF, and above, and there's tons of software out there to model land mobile radio, cellphones, etc. with all manner of modeling approaches that handles diffraction, arbitrary surfaces, buildings, etc. One could probably use one of those codes for HF, by scaling (instead of running your model for 1.8 MHz, run it for 1.8 GHz, and load your terrain model scaled by 10.



The soil dielectric parameters have a big effect on the model - and that is really, really hard to know over a wide area. You could probably look at data from microwave satellite observations and come up with some estimates at km or larger scale, but getting data at 10 or 100 meter resolution would be challenging. So you've got the problem of "antenna on a hill, next to a farmer's field, with a forest, and a salt water beach...


At some point, though, for HF propagation, it just becomes easier to try it and see what happens.

I will confess, though, that it is fun and instructive to sit and run through models when the rain is coming down outside.



73, de steve ve6wz.

On Jan 20, 2019, at 6:06 AM, Bill via TowerTalk <towertalk@contesting.com> 
wrote:

Several people have mentioned the effects of a hill on a vertical or vertical 
system.
I also know of no program that allows terrain to be considered for a vertical.  
Several people who I consider informed came to the same conclusion I did, it 
enhances the signal if it is a downhill slope and is detrimental if is an 
uphill slope.  For example, if one looks at a Yagi at one wavelength over flat 
ground and then at one over sloped terrain, you can see how the angle has 
dropped.  Likewise, if you look at the flat results and then the print out of 
the uphill slope, it is easy to see the low angle has been attenuated.
It's my belief and some antenna gurus, that the steeper the slope, the lower 
the angle if down slope, and the more attenuated if up slope..  At my QTH I 
have a huge downward slope to EU and NA and a huge up slope to the top of Mauna 
Kea (14000 feet) which is LP for EU and SP for VK/ZL.  On 80 I have a 4 sq and 
on 160 a bent vertical and a very good symmetrical ground system.  For the same 
conditions and distances I can tell you the signal is much better in the 
direction of the down slope  than the up slope.  Is it a scientific test?  No.  
However, it does indicate that if one has a big slope (in my case a 1:6 slope 
uphill and downhill.) it does affect how a vertical performs.  Mine and several 
others educated guess?  Going downhill at my place probably lowers the angel at 
least several degrees.  No, I'm not sure if the angle is elevated in the up 
hill direction.  No doubt though it is attenuated.
Those who have heard  me on 80 and 160 in EU and NA will agree that the down 
slope helps the signal.
Bill KH7XS/K4XS
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