Abstract
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.
Highlights
Fiber optic gyro (FOG) is a core component of the third generation inertial measurement devices
It can be seen from the principle that Faraday effect-induced bias error of the axial magnetic field is smaller, so the axial magnetic field changes the direction of interferometric fiber optic gyroscope (IFOG) and the X-axis in units of 45 degrees
It is noteworthy that the Faraday effect-induced bias errors are linear with the intensity of magnetic field when the direction of magnetic field is fixed with the angle of IFOG
Summary
Fiber optic gyro (FOG) is a core component of the third generation inertial measurement devices. Polarization-maintaining fiber (PMF) is used in the IFOG to reduce the non-reciprocity caused by the birefringence variation and the Faraday effect-induced bias error [17], [18]. In 2015, Zhang et al proposed the research mechanism of the axial magnetic sensitivity of polarization-maintaining interferometric fiber optic gyro (PM-IFOG) for the first time [20].They proposed that the non-reciprocal phase difference generated by the axial magnetic field to PM-IFOG. The study of Faraday phase shift is based on two-dimensional model with a singledirection magnetic field in IFOG [22]–[25]. The drift in the radial magnetic field is caused by the twist and Faraday effect-induced bias errors, and the drift in the axial magnetic field is caused by the change in the bending rate. The correctness of the three-dimensional Faraday magneto-offset theory is verified by the simulation and experiments
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