On Fri, 31 Jul 2015 14:59:27 +0000,
  "Pawson, James" <[email protected]> wrote:

> I'm trying to calculate the distances/angles at which a maximum (in phase) or 
> minimum (anti-phase) signal would occur on an OATS/SAC.
...
> Is there a standard equation for calculating the reflection angle on an 
> OATS/SAC with a varying height antenna? Or can someone give me some pointers 
> to help me figure it out myself? I was so distracted thinking about this that 
> I missed my turnoff whilst cycling home the other day.

I found Smith's article very helpful:

Calculation of Site Attenuation From Antenna Factors, Smith, A.A. et al.,
http://dx.doi.org/10.1109/TEMC.1982.304041

Calculation of path length is simple: sqrt(R^2 + (h1 - h2)^2) for
direct wave and sqrt(R^2 + (h1 + h2)^2) for reflected wave.
https://en.wikipedia.org/wiki/Two-ray_ground-reflection_model#/media/File:2-Ray_Ground_Reflection.png

I think reflection angle is not important as far as we assume
specular reflection on the conductive ground plane.
However, at least for vertical polarization, we probably need to
consider incident angle to the antennas.

Regards,
Tom

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