| Citation: | HU Zhaohui, MU Weiwei, WU Wenfeng, et al. Design method of cylindrical coil systems for generating uniform magnetic field[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(3): 454-461. doi: 10.13700/j.bh.1001-5965.2017.0152(in Chinese)
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In the field of precision measurement and aerospace, atomic gyroscope and atomic magnetometer have high requirements on the uniformity of magnetic field, while the uniformity of magnetic field generated by the traditional Helmholtz coil is not good enough for these applications. To obtain better field uniformity, a method to calculate the parameters of cylindrical coil systems is proposed based on the Taylor expansion of the axial magnetic field. The parameters of two-coil to nine-coil systems are computed, and the variation trends of magnetic field uniformity, coils' size, and coils' maximum ampere-turn ratio with coil number are analyzed. Numerical results demonstrate that the uniform region area of magnetic field increases almost linearly with the increasing of coil number, and the region area where the field uniformity is better than 0.01% in nine-coil system is about 30 times as large as that in Helmholtz coil. A method of rounding coil ampere-turn ratio is presented when integer coil turns and the same current in each coil turn are required, and the integer ampere-turn ratios of two-coil to nine-coil systems are given. Numerical results show that the uniformity of our coil systems is better than those in other papers. Finally, simulation analysis for the error caused by fabrication technique in practical five-coil system is conducted. Simulation results demonstrate that both the designed size and magnetic field of the coil meet the practical demand of atomic gyroscope and atomic magnetometer when error is taken into consideration.
| [1] |
MEYER D, LARSEN M.Nuclear magnetic resonance gyro for inertial navigation[J]. Gyroscopy and Navigation, 2014, 5(2):75-82. doi: 10.1134/S2075108714020060
|
| [2] |
FANG J C, WAN S A.Atomic spin gyroscope based on 129Xe-Cs comagnetometer[J]. Science Bulletin, 2013, 58(13):1512-1515. doi: 10.1007/s11434-013-5759-5
|
| [3] |
DANG H B, MALOOF A C, ROMALIS M V.Ultrahigh sensitivity magnetic field and magnetization measurements with an atomic magnetometer[J]. Applied Physics Letters, 2010, 97(15):151110. doi: 10.1063/1.3491215
|
| [4] |
HILSCHENZ I, ITO Y, NATSUKAWA H, et al.Remote detected low-field MRI using an optically pumped atomic magnetometer combined with a liquid cooled pre-polarization coil[J]. Journal of Magnetic Resonance, 2017, 274:89-94. doi: 10.1016/j.jmr.2016.11.006
|
| [5] |
GUSAROV A, LEVRON D, PAPERNO E, et al.Three-dimensional magnetic field measurements in a single SERF atomic-magnetometer cell[J]. IEEE Transactions on Magnetics, 2009, 45(10):4478-4481. doi: 10.1109/TMAG.2009.2021404
|
| [6] |
EKLUND E J. Microgyroscope based on spin-polarized nuclei[D]. Irvine: University of California, 2008: 87-88.
|
| [7] |
HANSON R J, PIPKIN F M.Magnetically shielded solenoid with field of high homogeneity[J]. Review of Scientific Instruments, 1965, 36(2):179-188. doi: 10.1063/1.1719514
|
| [8] |
SCHILL R A, HOFF K.Characterizing and calibrating a large Helmholtz coil at low ac magnetic field levels with peak magnitudes below the earth's magnetic field[J]. Review of Scientific Instruments, 2001, 72(6):2769-2776. doi: 10.1063/1.1368853
|
| [9] |
WANG L, LI G X, XU C L, et al.Effect of characteristic parameters on the magnetic properties of solenoid valve for high-pressure common rail diesel engine[J]. Energy Conversion & Management, 2016, 127:656-666.
|
| [10] |
SONG X C.Comparison of magnetic field distribution and homogeneity between Helmholtz coil and Maxwell coil[J]. Journal of Magnetic Materials & Devices, 2016, 47(5):16-19.
|
| [11] |
GARRETT M W.Axially symmetric systems for generating and measuring magnetic fields.Part Ⅰ[J]. Journal of Applied Physics, 1951, 22(9):1091-1107. doi: 10.1063/1.1700115
|
| [12] |
EVERETT J E, OSEMEIKHIAN J E.Spherical coils for uniform magnetic fields[J]. Journal of Scientific Instruments, 1966, 43(43):470-474.
|
| [13] |
GOTTARDI G, MESIRCA P, AGOSTINI C, et al.A four coil exposure system (tetracoil) producing a highly uniform magnetic field[J]. Bioelectromagnetics, 2003, 24(2):125-133. doi: 10.1002/(ISSN)1521-186X
|
| [14] |
WANG J, SHE S, ZHANG S.An improved Helmholtz coil and analysis of its magnetic field homogeneity[J]. Review of Scientific Instruments, 2002, 73(5):2175-2179. doi: 10.1063/1.1471352
|
| [15] |
KIRSCHVINK J L.Uniform magnetic fields and double-wrapped coil systems:Improved techniques for the design of bioelectro-magnetic experiments[J]. Bioelectromagnetics, 1991, 13(5):401-411.
|
| [16] |
BARANOVA V E, BARANOV P F, MURAVYOV S V, et al.The production of a uniform magnetic field using a system of axial coils for calibrating magnetometers[J]. Measurement Techniques, 2015, 58(5):550-555. doi: 10.1007/s11018-015-0752-9
|
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