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Re: [TowerTalk] Takeoff Angles and Non-Reciprocal Propagation

To: David Gilbert <xdavid@cis-broadband.com>
Subject: Re: [TowerTalk] Takeoff Angles and Non-Reciprocal Propagation
From: "Richard (Rick) Karlquist" <richard@karlquist.com>
Date: Fri, 02 Nov 2007 10:27:28 -0800
List-post: <mailto:towertalk@contesting.com>
You have disproven the statement:

"Diffraction is the same, regardless of asymmetries in the terrain".

But I didn't say that.  I only said it was RECIPROCAL.
Meaning the same on transmit as receive.  If it wasn't, HFTA would
ask you whether you wanted to do a transmit analysis or a receive
analysis.

Rick N6Rk

David Gilbert wrote:
> Richard (Rick) Karlquist wrote:
> 
> "Diffraction is reciprocal, regardless of asymmetries in the terrain."
> 
> 
> 
> HFTA would seem to suggest otherwise.
> 
> I generated four arbitrary terrain profile files and fed them into HFTA 
> last evening.  Each of the four terrain profiles had a peak 660 feet 
> high (I said it was arbitrary) 5,000 feet distant from the antenna.  The 
> peak for the first profile was broad and smooth on both the near and far 
> side.  The peak for the second profile was sharp and steep on both near 
> and far side.  The peak for the third profile was sharp on the near side 
> and smoothly broad on the far side, and the peak for the fourth profile 
> was smoothly broad on the near side and steep on the far side.  I 
> assumed a yagi antenna on 14 MHz (8 elements to get more gain 
> visibility) at 70 feet above ground.
> 
> HFTA shows markedly different takeoff angle profiles for the four 
> terrains.  In general, HFTA says a peak with a steep near side slope and 
> a sharp peak will diffract the signal lower than a more rounded near 
> side slope and a broad peak.  A peak that is symmetrically sharp appears 
> to bend the signal the most, although not much more than if only the 
> near side is steep.  A peak that is broad on the near side and steep on 
> the far side is almost identical to a peak that is broad on both sides.  
> For the heights, distances, and terrain shapes I arbitrarily chose, 
> either of the terrain profiles with a steep near side slope gave at 
> least ten db stronger signals than either of the terrain profiles with a 
> broad near side slope at all takeoff angles of six degrees or less.  At 
> higher angles, the plots tended to be similar with lots of crossing back 
> and forth among them.
> 
> I played around a bit with different antenna heights and the decibel 
> difference between the plots varied somewhat, but the general 
> relationships held.  I haven't tried to change the distance or height of 
> the peak to see what combinations might have the most effect ... I 
> simply picked some numbers for a first pass comparison.
> 
> Unless I messed up (probable), the two relevant plots from HFTA should 
> (might) be available by clicking on the links below:
> 
> http://www.mediamax.com/ab7e/Hosted/Diffraction1.jpg
> http://www.mediamax.com/ab7e/Hosted/Diffraction2.jpg
> 
> The links for the four terrain files are:
> 
> http://www.mediamax.com/ab7e/Hosted/rnd_near-shp_far.PRO
> http://www.mediamax.com/ab7e/Hosted/round_symmetric.PRO
> http://www.mediamax.com/ab7e/Hosted/sharp_symmetric.PRO
> http://www.mediamax.com/ab7e/Hosted/shp_near-rnd_far.PRO
> 
> If those files aren't accessible, someone please let me know and I'll 
> try to fix the links.  I can also send them as attachments directly to 
> anyone who asks.
> 
> I'd appreciate any comments on this quick and maybe questionable 
> analysis, but it seems to suggest that signals approaching a 
> non-symmetrically shaped terrain feature from different directions could 
> skew differently, and therefore that a signal going one way along a 
> specific path might have a different strength than a signal going the 
> other direction along that exact same path.  It has occurred to me that 
> a signal approaching a terrain feature from slightly above the horizon 
> might behave differently than a signal approaching that same feature 
> from below, but since HFTA won't handle negative takeoff angles I can't 
> really check that out, and at six degrees or less I wouldn't think the 
> difference would be large anyway.
> 
> Simple diffraction aside, real life terrain contains more than one 
> feature that would make full reciprocity even less likely, in my 
> opinion.  According to the algorithms built into HFTA,  the net energy 
> leaving at any particular angle is the result of multiple combinations 
> of reflections and refractions, refractions of reflections, reflections 
> of refractions, and so on.   Intuitively, it seems impossible to me that 
> a ray arriving from a distance at that same angle can somehow split 
> itself into those same components in reverse.  As a minimum, some of the 
> reflecting surfaces available to the outgoing ray might be totally 
> shadowed to the return signal by secondary terrain features.
> 
> But again, if I'm wrong here I'd appreciate someone correcting me with 
> enough explanation that I can understand it.
> 
> 73,
> Dave   AB7E
> 
> 
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