Modes of a rotating dielectric waveguide

Proceeding from the Maxwell differential equations and the Minkowski constitutive equations of the first order with respect to the ratio of the velocity of motion of a medium to the velocity of light in a vacuum, we derived equations for determining the mode structure of a field in a linear isotropic medium with an axially symmetric distribution of the permittivity and the permeability and with the angular velocity of rotation dependent on the distance from the symmetry axis. A waveguide effect was shown to appear even for a homogeneous medium owing to the spatial nonuniformity of the angular velocity. In the case of the quadratic dependence of the angular velocity on the transverse coordinate, the exact solutions for the modes were found in the form of Gaussian beams.