鉴于复杂环境会使激光陀螺谐振腔产生变形, 从而严重影响激光陀螺的性能, 本文利用有限元分析软件ANSYS仿真分析了典型随机振动谱(gRMS=6.6 g)下激光陀螺腔镜3个方向的微小形变量, 分别为0.342 5″、0.349 4″和0.215 0″, 并结合矩阵光学理论定量得到了谐振腔光阑处的形变量。然后定量分析了不同曲率半径、不同腔长、不同入射角对光学四边形环形谐振腔的影响规律。最后, 研究了球面镜-球面镜同时变化以及球面镜-平面镜同时变化下谐振光路的变动规律。实验结果表明, 单纯考虑谐振腔的抗振性能, 当L处于0~1 m, R处于1~8 m时, 球面镜的曲率半径越小, 腔长越短, 四边形环形光学谐振腔所受外界环境的影响越小, 两个腔镜同时变化时按照一定规律等效成单镜变化。本文研究可以为激光陀螺光学谐振腔的设计提供参考。

In view of the negative effects of resonant cavity deformation due to complex environments on performance of laser gyroscope, the slight deformations of mirror in three directions, which are 0.342 5″, 0.349 4″ and 0.215 0″, was simulated by ANSYS when the resonant cavity was under the function of standard random vibration spectrum(gRMS=6.6 g). Employing the theory of matrix optics, the deformation of the diaphragm was obtained quantitatively. Then, the deformation law of optical resonant cavity affected by radius of curvature, cavity length and incident angle was analyzed in an optical quadrangular cavity. Finally, the deformation law of optical path was derived when the spherical mirror and spherical mirror changed simultaneously or the spherical mirror and plane mirror changed simultaneously. Only considering the vibration resistance, the deformation of quadrangular cavity generated by the external environment is slighter with the smaller radius of curvature and the shorter cavity length when the radius of curvature ranges from 0 to 8 m and cavity length ranges from 0 to 1 m. Furthermore, the deformation law of two mirrors can be equivalent to that of a single mirror according to certain rules. The research can provide a reference for the design of optical resonant cavity of laser gyroscope.