The whispering gallery modes (WGMs) are studied theoretically in a proposed magneto-optic (MO) silicon micro-ring resonator with a radial magnetic field. The dispersion relations between both the frequency and polarization of the resonant mode and the gyration coefficient are achieved through Finite-Element Method (FEM). Nonreciprocal polarization coupling is observed between the intrinsic quasi-TM and quasi-TE modes, due to their different frequency shift coefficients originating from the magneto-optic effect. This polarization coupling results in the rapid changes of linear polarization degrees of the supermodes. The nonreciprocal mode coupling is universal and will be of practical value for the MO optical integration.

中文翻译：

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硅微环谐振器中通过磁光效应实现的不可逆极化耦合

理论上在拟议的具有径向磁场的磁光（MO）硅微环谐振器中研究了回音壁模式（WGM）。共振模的频率和极化与回转系数之间的色散关系是通过有限元方法（FEM）获得的。由于固有的准磁模式和准TE模式由于磁光效应而产生的不同频移系数，因此观察到了不可逆的极化耦合。这种极化耦合导致超模的线性极化度快速变化。不可逆模式耦合是通用的，对于MO光学集成将具有实用价值。