Study of cross-sensitivity of whispering gallery modes in bottle resonators to rotation

In recent years, the optical resonators of whispering gallery modes (WGMs) have attracted increasing interest in the scientific community. These are the axially symmetric dielectric resonators (spherical, disk, torus, bottle-shaped, etc.) with smooth edges that support the existence of WGMs due to the total internal reflection from the surface of the resonator. The rotation of the WGM resonators with respect to the inertial space causes changes in their radii. This, in turn, leads to the reciprocal (the same for light beams travelling in opposite directions) spectral shift of the WGMs. Thus, the rotation of such resonators causes a spectral shift, by which it is possible to calculate the motion parameters. Earlier the prospects of creation of the angular velocity sensor on the basis of this effect were discussed. Spherical, torus, and disk-shaped resonators were considered as possible sensitive elements. This work is devoted to the analysis of the influence of rotation on the mutual shift of the WGM of bottle-shaped resonators. An important part of the work is the study of cross-sensitivity of bottle resonators to rotation.