Since there is a transverse Fresnel–Fizeau effect according to
Jones, R. V. (1972). "'Fresnel Aether Drag' in a Transversely Moving Medium". Proceedings of the Royal Society A. 328 (1574): 337–352. Bibcode:1972RSPSA.328..337J. doi:10.1098/rspa.1972.0081.
Jones, R. V. (1975). "'Aether Drag' in a Transversely Moving Medium". Proceedings of the Royal Society A. 345 (1642): 351–364. Bibcode:1975RSPSA.345..351J. doi:10.1098/rspa.1975.0141.
described for a rotating cylinder of length t as
$$ \delta = r \omega t (n - 1/n)/c $$
where $\delta$ is the transverse displacement, r radius and $\omega$ rotational speed, one could imagine that there is a rotation of the polarization plane of electromagnetic waves as they pass through a rotating medium (parallel to the rotation axis). How can this effect be determined, in terms of refractive index n and rotation $\omega$ of the rotating medium?