Generalized model for beam-path variation in ring resonator and its applications in backscattering coupling effect

A generalized model for beam-path variation analyzed with vector method in square ring resonators is established. The model can be applied to analyze beam-path variation in various ring resonators induced by all the possible perturbation sources. The generalized model is useful for the cavity design, cavity improvement, alignment of planar ring resonators and research on backscattering coupling effect. Backscattering coupling effect in square ring resonator has been chosen as examples to show its application. Backscattering coupling coefficient r is obtained as a function of mirror's axial displacements. Some novel results of backscattering coupling effect have been acquired. The results indicate that r can not be reduced to zero because of the initial machining errors of surfaces of plane mirrors. However, r can be reduced to zero almost when stabilizing frequency of laser gyro by take the suitable values of axial displacements of plane mirrors. These results are important for high precision laser gyro.

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