In practical, the Faraday effect-induced bias error is one of the main sources of bias error for the interferometric fiber optic gyroscope (IFOG). The Faraday effect-induced bias error impairs in the performance of IFOG. Normally, the Faraday effect-induced bias errors is hardly eliminated. To improve the performance of IFOG, the accurate model of Faraday effect-induced bias errors is necessary for its practical applications. In this paper, from the perspective of the finite element method, we calculate Faraday effect-induced bias errors of the fiber coil by the three-dimensional model in the radial magnetic field, and the axial magnetic field. Comparing with the traditional model, the differences mainly come from the size, and direction of the magnetic field, including the differences of the twist ratio, and the bending rate of each layer. Using the Jones matrix, we derive the three-dimensional magnetic field error model, further more theoretical results are obtained by simulation. The experiment with a 1024 m PM fiber coil are performed, and the experimental results support these theoretical predictions.

中文翻译：

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干涉式光纤陀螺三维磁致误差模型研究

实际上，法拉第效应引起的偏置误差是干涉光纤陀螺仪（IFOG）偏置误差的主要来源之一。法拉第效应引起的偏置误差会损害 IFOG 的性能。通常，法拉第效应引起的偏差误差很难消除。为了提高 IFOG 的性能，法拉第效应引起的偏置误差的准确模型对其实际应用是必要的。在本文中，我们从有限元方法的角度，通过径向磁场和轴向磁场中的三维模型计算了光纤线圈的法拉第效应引起的偏置误差。与传统模型相比，差异主要来自磁场的大小和方向，包括扭曲比的差异，以及每层的弯曲率。利用琼斯矩阵，推导出三维磁场误差模型，通过仿真得到更多的理论结果。使用 1024 m PM 光纤线圈进行实验，实验结果支持这些理论预测。