General analytical method of designing shielded coils for arbitrary axial magnetic field<xref rid="cpb_28_11_110702_fn1" ref-type="fn">*</xref><fn id="cpb_28_11_110702_fn1"><label>*</label><p>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).</p></fn>

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

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).

Zhang Yi¹, Li Yu-Jiao², Jiang Qi-Yuan¹, Wang Zhi-Guo^{1, †}, Xia Tao¹, Luo Hui^{1, ‡}

(a) Single coil in shield and (b) its axial magnetic field where solid line represents results from Eq. (7) and empty circles denote results fromour finite element calculation.