Abstract
Nuclear magnetic resonance gyroscopes (NMRGs) may be operated in an environment with violent vibration that usually contains both linear components and angular components. To analyze the influence of angular vibration on an NMRG, cross-axis coupling effects are studied. The cross-axis rotation rates induce an equivalent magnetic field. Its influence can be described by the Bloch equations. The approximate frequency shift and amplitude of the spin oscillator with an equivalent magnetic field in the cross-axis were obtained, which was validated by numerical simulation. The findings show that the angular vibration component leads to a remarkable error for the NMRG. When the angular vibration frequency is near the Larmor frequency, the oscillation frequency of the spins may be locked to the angular vibration frequency, destroying the NMRG’s ability to measure rotation rates. The cross-axis coupling problem should be considered in the design of an NMRG and corresponding inertial navigation systems.
Highlights
A nuclear magnetic resonance gyroscope (NMRG) measures rotation rates through the detection of the Larmor precession frequency of atomic spins in a static magnetic field [1,2,3,4]
We find that these effects lead to a shift in the Larmor frequency, i.e., effects in a frequency, i.e., a measurement error in the NMRG
We analyzed the response of a spin oscillator to a magnetic field in the xy-plane with both analytical and numerical methods
Summary
A nuclear magnetic resonance gyroscope (NMRG) measures rotation rates through the detection of the Larmor precession frequency of atomic spins in a static magnetic field [1,2,3,4]. The cross-axis coupling effects for a cryogenic relaxation in the dynamical equation of spins negligible, and the 3He gyroscope can be operated in. He can be as long as h, which the relaxation in the dynamical an open-loop mode [10]. When the mechanical vibration contains a cross-axis rotation cross-axis rotation component near the Larmor frequency, the error will be very large. Component near the Larmor frequency, the error will be very large This may result in this may result in the oscillation frequency being locked to the mechanical vibration rate, which the oscillation frequency beingtolocked to the vibration which destroys the NMRG’s destroys the NMRG’s ability measure themechanical rotation rate.
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