Modeling and Simulation of Nuclear Magnetic Resonance Gyroscope

Nuclear magnetic resonance (NMR) gyroscope characterized by low cost and miniature is promising in next generation of inertial gyroscopes. The basic theory of NMR gyroscope is introduced and a parameterized model based on Bloch equations is proposed. The condition of the maximum nuclear spin in xy plane is given. Also given is the close-loop control method of transverse driving magnetic field. Simulation of the NMR model and close-loop control of the driving magnetic field is made. It is found that the nuclear spin of noble gas isotope precesses around the holding magnetic field along z axis at a Larmor frequency and the precession phase of the nuclear spin of noble gas isotope in xy plane is modulated by phase of rotation of the gyroscope. To maintain the precession of nuclear spin the phase of the driving field should closely follow that of the precession of the nuclear spin when the gyroscope is rotating.