Electromagnétisme des milieux diélectriques linéaires en rotation et application à la propagation d'ondes guidées

A study of relativistic electrodynamics of rotating linear media is presented. The different solutions to a coordinate transformation of a reference frame in rotation are emphasized, which allows us to develop, in this noninertial system, the calculation of the constitutive tensor which connects the contravariant components of the derived field tensor to the covariant components of the macroscopic field tensor. Propagation equations are deduced and are solved for a toroidal dielectric waveguide using a perturbation method. Applied to the case of a single-mode fiber, these results show, without any ambiguity, that the phase shift of an optical fiber gyroscope is due only to the Sagnac effect, i.e., neither the medium properties nor the waveguide lateral dimensions has any influence.