Nonreciprocal Phase Error Caused by Orthogonal Magnetic Field in a Polarization-Maintaining Fiber-Optic Gyro

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.

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“…The light of ccw direction transmits through the optical path system, which is recorded as E − . E + can be expressed as [20], [14]…”

Section: Axial Magnetic Fieldmentioning

confidence: 99%

“…While, the influence of magnetic field is another important factor for IFOG and the research on magnetic field is still on primary stage. The magnetic field will produce a Faraday effect-induced bias error on the fiber coil [14], [15], [16], and the drift is difficult to distinguish form rotation velocity.…”

Section: Introductionmentioning

confidence: 99%

Research on Three-Dimensional Magnetic Induced Error Model of Interferometric Fiber Optic Gyro

Wang

Gao

et al. 2020

IEEE Photonics J.

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“…Alternatively, when both θ 1 and θ 2 are 90°, the light beams are propagated in the y polarization mode. The PM fiber coil, which is the main source of Faraday effect-induced bias error [ 18 ], is surrounded by the radial magnetic field H and temperature field T. The magnetic field is perpendicular to the sensitive axis of the PM fiber coil. The fiber with random twist is divided into micro-length unit dz .…”

Section: Theorymentioning

confidence: 99%

“…Although the Faraday effect is weak in silica, it is strong enough to be troublesome in the high-sensitivity IFOG [ 17 ]. For a polarization maintaining IFOG (PM-IFOG), the typical magnetic sensitivity is on the order of 10°/h/mT, well above the navigation-grade requirement of 0.1°/h/mT [ 18 , 19 ].…”

Section: Introductionmentioning

confidence: 99%

Temperature Dependence of Faraday Effect-Induced Bias Error in a Fiber Optic Gyroscope

Liu²,

Guang³

et al. 2017

Sensors

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Improving the performance of interferometric fiber optic gyroscope (IFOG) in harsh environments, such as magnetic field and temperature field variation, is necessary for its practical applications. This paper presents an investigation of Faraday effect-induced bias error of IFOG under varying temperature. Jones matrix method is utilized to formulize the temperature dependence of Faraday effect-induced bias error. Theoretical results show that the Faraday effect-induced bias error changes with the temperature in the non-skeleton polarization maintaining (PM) fiber coil. This phenomenon is caused by the temperature dependence of linear birefringence and Verdet constant of PM fiber. Particularly, Faraday effect-induced bias errors of two polarizations always have opposite signs that can be compensated optically regardless of the changes of the temperature. Two experiments with a 1000 m non-skeleton PM fiber coil are performed, and the experimental results support these theoretical predictions. This study is promising for improving the bias stability of IFOG.

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“…The TMOE originates from a magnetically induced lateral shift of the fiber mode [6]. Zhang et al [7] found that the TMOE in PMF-FOGs is not only curve-radius related, but it is also related to the polarization state of the light, errors in coupling angles between the pigtails of multifunction integrated optic circuit and the PMF coil, the pressure in fiber coil, and the twist rate of the fiber [8]. The Faraday nonreciprocal error grows as the square root of the length of the coil [3], whereas the TMOE is proportional to the number of turns in the coil, i.e., the ratio of the length over the diameter of the coil [6].…”

Section: Introductionmentioning

confidence: 99%

Transverse Magneto-Optic Error of a Miniature Solid-Core Photonic-Crystal Fiber Optic Gyroscope

Cai

Song

et al. 2019

IEEE Access

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The transverse magneto-optic error is a significant nonreciprocal error of fiber optic gyroscopes, particularly for the miniature fiber optic gyroscope. In this paper, the transverse magneto-optic error of a solid-core photonic-crystal fiber optic gyroscope is theoretically analyzed and experimentally measured, as well as compared with that of the conventional fiber optic gyroscopes. The results show that the transverse magneto-optic error per turn of the miniature photonic-crystal fiber optic gyroscope is ∼ 3.5 times smaller than that of the conventional fiber optic gyroscopes. A thinner µ-metal shield can be used in a miniature photonic-crystal fiber optic gyroscope, resulting in less cost and weight. Meanwhile, the experimental and the calculated results agree well with each other, which illustrates that the transverse magneto-optic error derives mainly from the bend-induced asymmetry distribution of the refractive index in fiber. Considering the remarkable properties of the solid-core photonic-crystal fibers, they are the good candidates for the future miniature fiber optic gyroscopes.

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Nonreciprocal Phase Error Caused by Orthogonal Magnetic Field in a Polarization-Maintaining Fiber-Optic Gyro

Cited by 12 publications

References 7 publications

Research on Three-Dimensional Magnetic Induced Error Model of Interferometric Fiber Optic Gyro

Research on Three-Dimensional Magnetic Induced Error Model of Interferometric Fiber Optic Gyro

Temperature Dependence of Faraday Effect-Induced Bias Error in a Fiber Optic Gyroscope

Transverse Magneto-Optic Error of a Miniature Solid-Core Photonic-Crystal Fiber Optic Gyroscope

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