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为了克服平面谐振腔调节精度高、损耗大的困难,提出了一种新型空间谐振式陀螺的谐振腔结构。并利用光学变换矩阵和菲涅尔-基尔霍夫衍射积分公式建立数学模型,通过MATLAB仿真计算谐振腔各腔镜因失调引起的衍射损耗。计算结果表明当谐振腔边长为4cm,入射光束束腰半径为0.25mm时,凹面镜的曲率半径为0.397m,反射镜失调引起的衍射损耗近似为0,即失调对陀螺的性能没有影响。得到陀螺的极限灵敏度为1.54°/h。
In order to overcome the difficulty of high-precision planar resonator adjustment and large loss, a novel resonator structure of a space-resonant gyroscope is proposed. The mathematical model was established by using the optical transformation matrix and Fresnel - Kirchhoff diffraction integral formula, and the diffraction loss caused by the misalignment of the cavity mirrors was calculated by MATLAB simulation. The calculated results show that the radius of curvature of the concave mirror is 0.397m and the diffraction loss caused by the misalignment of the mirror is approximately zero when the cavity length is 4cm and the beam waist radius is 0.25mm. That is, the mismatch has no effect on the performance of the gyroscope. The ultimate sensitivity of the gyro is 1.54 ° / h.