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. 2019 Oct 2;9:14196. doi: 10.1038/s41598-019-50697-w

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© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Investigating the effects of interactions of the coils with the mu-metal walls on the efficiency and homogeneity of the produced fields. (a–c) show for B_x, B_y and B_z respectively: (i) a boxplot of the full range of fields calculated over a 40 × 40 × 40 cm³ grid when the coils are operating in free space, (ii) when the bi-planar coils are centred in the room and mirror currents up to third order are included and (iii) when the coils are positioned as they would be during an experiment. The red star shows the measured efficiency with standard deviation of the coils when setup for an experiment. Experimental values of B_x and B_y were averaged over three OPMs spatially separated in z at z = −8 cm, z = 0 cm and z = + 8 cm. For the B_z measure the sensors were positioned at z = −17 cm, z = 0 cm and z = + 17 cm for the B_z measurement.