Originally posted by der_fisherman
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Coil magnetic fields do not follow the inverse square law of radiation I think. But assuming they did follow inverse square law, you have to factor in that the target signal also falls off like inverse square law -- so the round-trip signal is falling off by at least the fourth power. I think someone calculated that with a loop coil, the end result is a sixth power fall off. So 2^6 gives 64, hence 64 times the power to double the distance.
I think it is not as pessimistic as it sounds though. You calculated that 5 times the power would only buy you 7.8 %. However, my calculations indicate it would buy you 30%. Not sure I computed it correctly, but I calculate:
Distance Factor = (Power Increase) ^ 1/6
So DF = 5 ^ (1/6) == 1.31 or about 31% increase.
As for shielding --- that's a crazy subject I hope to examine, but I want to study some physics first and then probably need to do some computer simulations also.
As always, your questions and insights are interesting.
Regards,
-SB
P.S. I will add that using a shorter time interval does not necessarily save power. By using a continuous signal, we can essentially integrate out noise more effectively, and gain signal to noise ratio. You can't get something for nothing. That doesn't mean we're using power as well as we can though, so design changes may be practical, including shorter time interval if in fact we're not utilizing our long interval to the fullest. Another idea is more resonant TX coils to increase current without using more power; this may have other disadvantages, but something I'm trying to explore.
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