I'm trying to understand the limits of when Lorentz reciprocity does and doesn't apply to a given system. I know that it only applies to linear systems, but based on a couple of examples I believe there might be more to it:
Example 1: DC through an inductor produces a static magnetic field. Expose that same inductor to a static magnetic field of the same magnitude, a current is not induced. This suggests to me non-reciprocity.
Example 2: near field effects in a simple transmit/receive antenna system. I have produced a simple model of 2 identical dipole antennas, with a large metal object in close proximity to one of the antennas. When I measure the received spectrum for one, and then for the other, with the other antenna transmitting the same signal, the results are similar but not identical at certain frequencies. Physical measurements seem to agree with these results. I imagine it is due to non-linear effects, but I'm interested to hear if anyone can confirm if this is likely or if there is some other way Lorentz reciprocity could be being broken?
