A simple method of coil design

TL;DR

This paper introduces a straightforward coil design method that creates arbitrary magnetic fields by constraining wire paths to a grid, solved via least squares, with practical applications and software provided.

Contribution

The paper presents a novel, simple approach to coil design for arbitrary magnetic fields using grid-constrained wire paths and least squares optimization.

Findings

Effective design of coils for arbitrary magnetic fields

Application in magnetic field stabilization systems

Software implementation available for practical use

Abstract

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.