Friday, June 30, 2017

electromagnetism - What's a good reference for the electrodynamics of moving media?


The answer to a previous question suggests that a moving, permanently magnetized material has an effective electric polarization $\vec{v}\times\vec{M}$. This is easy to check in the case of straight-line motion, using a Lorentz boost.


I suspect this formula is still correct for motion that is not in a straight line, but I'm not interested in reinventing the wheel. Does anyone know of a textbook or journal article that derives this $\vec{v}\times\vec{M}$ term? Even better, does anyone know of experimental observation of this effect?



EDIT:
Followup question: What is the electric field generated by a spinning magnet?



Answer



To close the loop, Andrew, the answer to your newest question is:


The best and most famous reference about the electrodynamics of moving bodies is



Einstein, Albert (1905-06-30). "Zur Elektrodynamik bewegter Körper". Annalen der Physik 17: 891–921. See also a digitized version at Wikilivres:Zur Elektrodynamik bewegter Körper.



The English translation, "On the Electrodynamics of Moving Bodies", is here:




http://www.fourmilab.ch/etexts/einstein/specrel/www/



The content of this paper became known as the special theory of relativity. I am just partly joking because for uniformly moving media, the Lorentz boost to the rest frame is still the most natural way to proceed.


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