四频差动激光陀螺中水晶片在应力作用下的光学性质

建立了四频差动激光陀螺水晶片弹光效应和旋光性交互作用的理论模型，并指出了该模型的求解方法和步骤。首先，计算在应力作用下新旧主轴坐标系的变换矩阵以及在新主轴坐标系中水晶片的逆介电张量和旋光张量，然后计算实验室坐标系与新主轴坐标系之间的变换矩阵，求出实验室坐标系下水晶片的逆介电张量和旋光张量，根据水晶片的简正模方程和物质方程就可以求出其应力作用下沿波矢方向的简正模和相应的折射率。通过数值实例计算了四频差动激光陀螺中波矢与主轴不同位置关系时水晶片在波矢方向简正模椭圆度和相应折射率随应力的变化，对分析四频差动陀螺温变零漂的产生机理和水晶片的安装具有一定的指导意义。

Quartz crystal's optical properties in differential laser gyro under the stress

The theory model which studied the interaction between optical activity and elastic-optical effect of crystal quartz in the differential laser gyro was presented. The solving method and steps of the model were proposed. Firstly, the stress-induced transformation matrix between the new and old principal coordinate systems, inverse dielectric tensor and gyrotropic dielectric tensor in the new principal coordinate system were calculated. Then applying the transformation matrix between the new principal coordinate system and laboratory coordinate system, the inverse dielectric tensor and gyrotropic dielectric tensor in the laboratory coordinate system was obtained. According to the normal mode equation and material equation, the stress-induced normal modes and corresponding refractive index along the direction of wave vector were analyzed. Through the calculation example, the change of latent model's ellipticity and refractive index as the function of stress for different directions of wave vector was investigated in detail. This model offers a means to analyze the mechanism of production of differential laser gyro's thermal bias, which had some degree of guiding significance in installation of quartz crystal.