General analytical method of designing shielded coils for arbitrary axial magnetic field

doi:10.1088/1674-1056/ab4d40

中国物理B ›› 2019, Vol. 28 ›› Issue (11): 110702-110702.doi: 10.1088/1674-1056/ab4d40

General analytical method of designing shielded coils for arbitrary axial magnetic field

Yi Zhang(张燚), Yu-Jiao Li(李玉姣), Qi-Yuan Jiang(江奇渊), Zhi-Guo Wang(汪之国), Tao Xia(夏涛), Hui Luo(罗晖)

1 College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha 410073, China;
2 College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China

收稿日期:2019-07-28 修回日期:2019-09-12 出版日期:2019-11-05 发布日期:2019-11-05
通讯作者: Zhi-Guo Wang, Hui Luo E-mail:maxborn@163.com;luohui.luo@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61701515 and 61671458), the Postdoctoral Science Foundation, China (Grant No. 2017M613367), the Natural Science Foundation of Hunan Province, China (Grant No. 2018JJ3608), and the Research Project of National University of Defense Technology, China (Grant No. ZK170204).

General analytical method of designing shielded coils for arbitrary axial magnetic field

Yi Zhang(张燚)¹, Yu-Jiao Li(李玉姣)², Qi-Yuan Jiang(江奇渊)¹, Zhi-Guo Wang(汪之国)¹, Tao Xia(夏涛)¹, Hui Luo(罗晖)¹

1 College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha 410073, China;
2 College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China

Received:2019-07-28 Revised:2019-09-12 Online:2019-11-05 Published:2019-11-05
Contact: Zhi-Guo Wang, Hui Luo E-mail:maxborn@163.com;luohui.luo@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61701515 and 61671458), the Postdoctoral Science Foundation, China (Grant No. 2017M613367), the Natural Science Foundation of Hunan Province, China (Grant No. 2018JJ3608), and the Research Project of National University of Defense Technology, China (Grant No. ZK170204).

摘要/Abstract

摘要： Magnetic coils for specific requirements are widely used in modern quantum physics. In this study, a general analytical method of designing the shielded coils for generating an arbitrary axial magnetic field is proposed. The theoretical formula for an axial magnetic field generated by a single shielded coil is obtained and used to construct specific coils. The structural parameters of these coils are determined by fitting the theoretical formula with their specific requirements. The feasibility of this method is proved by realizing four concrete kinds of coils:uniform magnetic field generating coils, gradient magnetic field generating coils, asymmetrical uniform magnetic field generating coils, and parabolic magnetic field generating coils. The correctness of these theoretical results is demonstrated by both the finite element simulations and the relevant experimental results. Furthermore, the application of this method is of great significance for developing the quantum physics and quantum devices in future.

关键词: magnetic coils, analytical method, shielding, quantum device

Abstract: Magnetic coils for specific requirements are widely used in modern quantum physics. In this study, a general analytical method of designing the shielded coils for generating an arbitrary axial magnetic field is proposed. The theoretical formula for an axial magnetic field generated by a single shielded coil is obtained and used to construct specific coils. The structural parameters of these coils are determined by fitting the theoretical formula with their specific requirements. The feasibility of this method is proved by realizing four concrete kinds of coils:uniform magnetic field generating coils, gradient magnetic field generating coils, asymmetrical uniform magnetic field generating coils, and parabolic magnetic field generating coils. The correctness of these theoretical results is demonstrated by both the finite element simulations and the relevant experimental results. Furthermore, the application of this method is of great significance for developing the quantum physics and quantum devices in future.

Key words: magnetic coils, analytical method, shielding, quantum device

中图分类号: (Magnetic instruments and components)

07.55.-w

07.55.Db (Generation of magnetic fields; magnets) 33.25.+k (Nuclear resonance and relaxation)

张燚, 李玉姣, 江奇渊, 汪之国, 夏涛, 罗晖. General analytical method of designing shielded coils for arbitrary axial magnetic field[J]. 中国物理B, 2019, 28(11): 110702-110702.

Yi Zhang(张燚), Yu-Jiao Li(李玉姣), Qi-Yuan Jiang(江奇渊), Zhi-Guo Wang(汪之国), Tao Xia(夏涛), Hui Luo(罗晖). General analytical method of designing shielded coils for arbitrary axial magnetic field[J]. Chin. Phys. B, 2019, 28(11): 110702-110702.

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General analytical method of designing shielded coils for arbitrary axial magnetic field

General analytical method of designing shielded coils for arbitrary axial magnetic field

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