> On Nov 3, 2017, at 11:45 AM, Felix Schwarz <felix.schw...@tu-ilmenau.de>
> wrote:
>> It's possible that you could just compute the "ordinary" flux in the
>> transformed region and it will just work (i.e. give the same answer as the
>> flux in the original coordinates), but I'm not sure about this. I can
>> think of a couple of cases off the top of my head where it must be true, but
>> I don't know if it is true in general.
>>
>> It should be a straightforward exercise to check this. Look at my notes on
>> transformation optics
>> http://math.mit.edu/~stevenj/18.369/coordinate-transform.pdf
>> <http://math.mit.edu/%7Estevenj/18.369/coordinate-transform.pdf>
>> and plug the transformed fields into an integral of the Poynting vector
>> (don't forget the Jacobian factor for the integral itself), and see if you
>> can show that it is invariant under the transformation. (Note the tricks
>> with the Levi-Civita tensor and identity after equation (17), for example.)
> Should be done, please see the respective section in the notes.pdf under the
> git repository given above. I hope this is correct, it's been a while...
Looks good to me: very nicely done! It's possible that this is published
somewhere, but if not, it should be.
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