So no one responded to this one, so just wanted to give the answer.
In big-o notation you drop all the terms except for the one of the highest order (the term with the highest exponent).. you do this because the notation is about how things scale to infinity, and as you scale towards infinite only the largest term is significant.
This is the same thing that happens with near and far fields in RF.. the equation that describes the field doesnt make any distinction, its just a long polynomial.. but at close distances (near field) all the terms are significant, so the lower exponent terms are valid, so the near field decays at the rate at which the highest exponent becomes dominant and the lower exponents become insignificant... so near field decays at 1/r^6 while the far-field decays at 1/r^2
@tatzelbrumm its probably extremely low power rf since it probably only needs a 2 foot range. Telemetry may be habdled all sorts of ways i can only speculate
@tatzelbrumm alo i suspect it may not have a power source simply for safety reasons. If not the power source may be an external field like with wireless chargers.
@freemo
I was just wondering if something like that was why you started thinking about near and far fields.
@tatzelbrumm No it was the mention of big-O which then reminded me of the similarity between that and near and far fields.
@freemo
Weird shit like
https://www.medtronic.com/covidien/en-us/products/capsule-endoscopy.html
and RF power and telemetry for it?