Analysis of the counterpropagating waves nonreciprocity in a ring resonator with inhomogeneous anisotropy

For Russian citation (Opticheskii Zhurnal):

Соколов А.Л., Акентьев А.С., Бут М.Е. Анализ невзаимности встречных волн в кольцевом резонаторе с неоднородной анизотропией // Оптический журнал. 2026. Т. 93. № 12. С. 14–26. http://doi.org/10.17586/1023-5086-2026-93-12-14-26

Sokolov A.L., Akentev A.S., But M.E. Eigenpolarization-inhomogeneous waves in a ring resonator with inhomogeneous anisotropy [in Russian] // Opticheskii Zhurnal. 2026. Т. 93. № 12. С. 14–26. http://doi.org/10.17586/1023-5086-2026-93-12-14-26

For citation (Journal of Optical Technology):

Abstract:

The subject of the present work is polarization characteristics of an optical resonator with polarization-inhomogeneous elements. The purpose of this work is to determine the polarization state and frequency shift of the eigenmodes in a ring optical resonator with polarization-inhomogeneous elements, such as prisms with induced heterogeneous anisotropy. Method. The representation of eigenwaves as a set of coherent transverse modes with different polarization states and amplitudes allows us to define eigenvectors and eigenvalues for analyzing the polarization state. Main results. The analysis of the eigenstates of polarization and the frequency shift of the eigenwaves in an optical resonator with polarization-inhomogeneous elements has been carried out. It is shown that the polarization states depend on the optical parameters of the resonator, such as the perimeter and radii of curvature of the mirrors, and vary not only in the transverse plane but also continuously in the longitudinal direction of the resonator. Moreover, the transverse radii, the position of the waists, and the curvature of the wave surface of the laser beams depend on the parameters of the polarization inhomogeneity. Practical significance. The analysis of the eigenstates of polarization and the shift of the frequencies of the eigenwaves in an optical resonator with polarization-inhomogeneous elements is carried out. In the case of a quadratic dependence of the polarization parameters on the transverse coordinates, the polarization state changes on the beam axis and a difference in the frequencies of the counter-propagating waves in a magnetic field appears. This phenomenon is essential for calculating the non-mutual shift of the frequencies of the counter-propagating waves in a laser gyroscope.

Keywords:

polarization-inhomogeneous wave, polarization-inhomogeneous element of an optical resonator, frequency shift

OCIS codes: 140.4780, 260.5430, 140.3370

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