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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。
A theoretical model of the interaction between the optical effect and the optical rotation of a quadrupole differential laser gyro crystal was established, and the solution method and steps of the model were pointed out. Firstly, the transformation matrices of old and new main axes coordinate system under stress and the inverse dielectric tensor and optical rotation tensors of the crystal pieces in the new main axis coordinate system are calculated, and then the transformation matrix between the laboratory coordinate system and the new main axis coordinate system is calculated , The inverse dielectric tensor and the optical rotation tensor of the crystal sheet in the laboratory coordinate system are obtained. According to the simple normal mode and material equation of the crystal sheet, the normal mode and the corresponding refractive index along the wave-vector direction under the stress can be obtained. Numerical examples are used to calculate the normal mode ellipticity and the corresponding refractive index change of stress wave in the wave vector direction of the quadrupole differential laser gyro with different positions of the wave vector and the principal axis. The mechanism of the temperature drift and zero drift of the quadrupole differential gyro is analyzed. And the installation of the crystal piece has a certain guiding significance.