In this article, we present a method to design a coil producing an arbitrarily shaped magnetic field by restricting the path of the coil's wires to a regular grid. The solution is then found by a simple least squares minimum. We discuss practical applications, in particular, in the active magnetic field stabilization system of the neutron electric dipole moment experiment at the Paul Scherrer Institute in Villigen, Switzerland. We also publish the software implementation of the method.
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This work was supported by the Swiss National Science Foundation under Grant Nos. 200020_162574 and 200020_172639.
Rawlik, M.; Eggenberger, A.; Krempel, J.; Crawford, Christopher; Kirch, K.; Piegsa, F. M.; and Quéméner, G., "A Simple Method of Coil Design" (2018). Physics and Astronomy Faculty Publications. 591.