相位检测误差对核磁共振陀螺输出频率的影响
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摘要
针对核磁共振陀螺中采用相位检测方案时可能引起额外频率误差的问题,提出了通过控制电子顺磁共振失谐量及静磁场扰动来抑制额外频率误差的方案。基于Bloch方程,推导了惰性气体原子系综输出频率的表达式,并将相位检测的过程包含在内。建立了考虑相位检测误差的核磁共振陀螺频率误差方程,给出了相位检测引入的额外频率误差表达式并进行了数值仿真。仿真结果表明,通过设定合适的共振失谐量,其额外频率误差至少可以抑制1个数量级,而通过精确地抑制静磁场的一阶及二阶扰动,可以进一步抑制1～3个数量级,将额外频率误差降低到nHz量级。
Regarding the problem of the additional frequency error possibly induced by the applied phase detection method in the nuclear magnetic resonance gyroscope,a new scheme to suppress the additional frequency error is put forward by monitoring the electron paramagnetic off-resonance quantity and the static magnetic field fluctuation.The Bloch equation based expression of output frequency for the noble gas atomic ensemble is deducted,with the impact of the phase detection method included.The phase detection error included frequency error equation of the nuclear magnetic resonance gyroscope is established,and the accordingly expression of the phase detection induced additional frequency error is given,with which the numerical simulation is presented.The simulation results indicate that the additional frequency error could be suppressed by at least one order of magnitude by properly setting the value of the off-resonance quantity,while further one to three orders of magnitude suppression could be achieved by accurately monitoring the first and second order fluctuation of the static magnetic field,which leads to the predicted additional frequency error of sub-nHz magnitude.
Regarding the problem of the additional frequency error possibly induced by the applied phase detection method in the nuclear magnetic resonance gyroscope,a new scheme to suppress the additional frequency error is put forward by monitoring the electron paramagnetic off-resonance quantity and the static magnetic field fluctuation.The Bloch equation based expression of output frequency for the noble gas atomic ensemble is deducted,with the impact of the phase detection method included.The phase detection error included frequency error equation of the nuclear magnetic resonance gyroscope is established,and the accordingly expression of the phase detection induced additional frequency error is given,with which the numerical simulation is presented.The simulation results indicate that the additional frequency error could be suppressed by at least one order of magnitude by properly setting the value of the off-resonance quantity,while further one to three orders of magnitude suppression could be achieved by accurately monitoring the first and second order fluctuation of the static magnetic field,which leads to the predicted additional frequency error of sub-nHz magnitude.
引文
[1]Noor R M,Gundeti V,Shkel A M.A status on components development for folded micro NMR gyro[C]//IEEE International Symposium on Inertial Sensors and Systems.IEEE,Kauai,Hawaii,USA,2017:156-159.
[2]万双爱,孙晓光,郑辛,等.核磁共振陀螺技术发展展望[J].导航定位与授时,2017,4(1):7-13.Wan Shuangai,Sun Xiaoguang,Zheng Xin,et al.Prospective development of nuclear magnetic resonance gyroscope[J].Navigation Positioning&Timing,2017,4(1):7-13(in Chinese).
[3]程翔,刘华,王昢,等.核磁共振陀螺仪研究进展[J].微纳电子技术,2017,54(9):605-611.Cheng Xiang,Liu Hua,Wang Po,et al.Research progress in nuclear magnetic resonance gyroscopes[J].Micronanoelectronic Technology,2017,54(9):605-611(in Chinese).
[4]Bergh R,Lefevre H,Shaw H.An overview of fiberoptic gyroscopes[J].Journal of Lightwave Technology,1984,2(2):91-107.
[5]Cao H,Li H,Kou Z,et al.Optimization and experimentation of dual-mass MEMS gyroscope quadrature error correction methods[J].Sensors,2016,16(1):71.
[6]Meyer D,Larsen M.Nuclear magnetic resonance gyro for inertial navigation[J].Gyroscopy and Navigation,2014,5(2):75-82.
[7]Feng W,Xiao G,Liu X,et al.A precise measurement method of each component gas pressures in rubidium vapor cell based on atom absorption spectra[C]//Proceedings of SPIE-The International Society for Optical Engineering,2014,9297(1J):1-7.
[8]Liu X,Chen C,Qu T,et al.Transverse spin relaxation and diffusion-constant measurements of spin-polarized 129 Xe nuclei in the presence of a magnetic field gradient[J].Scientific Reports,2016,6(24122):1-8.
[9]Ruset I C,Ketel S,Hersman F W.Optical pumping system design for large production of hyperpolarized129 Xe[J].Physical Review Letters,2006,96(053002):1-4.
[10]刘子盟,陈先朝.基于FPGA的FFT算法优化及其在磁共振谱仪中的应用[J].现代电子技术,2012,35(8):123-126.Liu Zimeng,Chen Xianchao.FPGA-based optimization of FFT algorithm and its application in NMRspectrometer[J].Modern Electronics Technique,2012,35(8):123-126(in Chinese).
[11]Gardner F M.Phaselock Techniques(3rd ed.)[M].John Wiley&Sons,New Jersey,2005:81-99.
[12]Walker T G,Larsen M S.Spin-exchange-pumped NMR gyros[M].Advances in Atomic Molecular&Optical Physics,2016:373-401.
[13]Torrey H C.Bloch equations with diffusion terms[J].Physical Review,1956,104(3):563-565.
[14]Eklund E J.Microgyroscope based on spin-polarized nuclei[D].Irvine:University of California,2008:50-56.
[15]Donley E A,Hodby E,Hollberg L,et al.Demonstration of high-performance compact magnetic shields for chip-scale atomic devices[J].Review of Scientific Instruments,2007,78(8):083102.
[16]Bulatowicz M,Griffith R,Larsen M,et al.Laboratory search for a long-range T-Odd,P-Odd interaction from axionlike particles using dual-species nuclear magnetic resonance with polarized Xe129 and Xe131 gas[J].Physical Review Letters,2013,111(10):102001.
[2]万双爱,孙晓光,郑辛,等.核磁共振陀螺技术发展展望[J].导航定位与授时,2017,4(1):7-13.Wan Shuangai,Sun Xiaoguang,Zheng Xin,et al.Prospective development of nuclear magnetic resonance gyroscope[J].Navigation Positioning&Timing,2017,4(1):7-13(in Chinese).
[3]程翔,刘华,王昢,等.核磁共振陀螺仪研究进展[J].微纳电子技术,2017,54(9):605-611.Cheng Xiang,Liu Hua,Wang Po,et al.Research progress in nuclear magnetic resonance gyroscopes[J].Micronanoelectronic Technology,2017,54(9):605-611(in Chinese).
[4]Bergh R,Lefevre H,Shaw H.An overview of fiberoptic gyroscopes[J].Journal of Lightwave Technology,1984,2(2):91-107.
[5]Cao H,Li H,Kou Z,et al.Optimization and experimentation of dual-mass MEMS gyroscope quadrature error correction methods[J].Sensors,2016,16(1):71.
[6]Meyer D,Larsen M.Nuclear magnetic resonance gyro for inertial navigation[J].Gyroscopy and Navigation,2014,5(2):75-82.
[7]Feng W,Xiao G,Liu X,et al.A precise measurement method of each component gas pressures in rubidium vapor cell based on atom absorption spectra[C]//Proceedings of SPIE-The International Society for Optical Engineering,2014,9297(1J):1-7.
[8]Liu X,Chen C,Qu T,et al.Transverse spin relaxation and diffusion-constant measurements of spin-polarized 129 Xe nuclei in the presence of a magnetic field gradient[J].Scientific Reports,2016,6(24122):1-8.
[9]Ruset I C,Ketel S,Hersman F W.Optical pumping system design for large production of hyperpolarized129 Xe[J].Physical Review Letters,2006,96(053002):1-4.
[10]刘子盟,陈先朝.基于FPGA的FFT算法优化及其在磁共振谱仪中的应用[J].现代电子技术,2012,35(8):123-126.Liu Zimeng,Chen Xianchao.FPGA-based optimization of FFT algorithm and its application in NMRspectrometer[J].Modern Electronics Technique,2012,35(8):123-126(in Chinese).
[11]Gardner F M.Phaselock Techniques(3rd ed.)[M].John Wiley&Sons,New Jersey,2005:81-99.
[12]Walker T G,Larsen M S.Spin-exchange-pumped NMR gyros[M].Advances in Atomic Molecular&Optical Physics,2016:373-401.
[13]Torrey H C.Bloch equations with diffusion terms[J].Physical Review,1956,104(3):563-565.
[14]Eklund E J.Microgyroscope based on spin-polarized nuclei[D].Irvine:University of California,2008:50-56.
[15]Donley E A,Hodby E,Hollberg L,et al.Demonstration of high-performance compact magnetic shields for chip-scale atomic devices[J].Review of Scientific Instruments,2007,78(8):083102.
[16]Bulatowicz M,Griffith R,Larsen M,et al.Laboratory search for a long-range T-Odd,P-Odd interaction from axionlike particles using dual-species nuclear magnetic resonance with polarized Xe129 and Xe131 gas[J].Physical Review Letters,2013,111(10):102001.