Analyzing the influence of square Maxwell coil's assembly errors on the uniformity of magnetic field gradient

A Maxwell coil is a gradient magnetic field source with high uniformity, and it is widely used in the experiment of magnetic effect in space gravitational wave detection, magnetic resonance molecular imaging, and other precision magnetic measurement experiments. In this paper, taking the square Maxwell coil as a research object, the influences of four kinds of assembly errors on the uniformity of magnetic field gradient (UOMFG) are systematically analyzed and the results are verified by simulation using the finite element method. We obtained variation rules of UOMFG changing with the four assembly errors and summarized three useful conclusions. These rules and conclusions are instructive in the design, processing, and assembly of the square Maxwell coil and are beneficial for the optimal utilization of the working area in the precision magnetic measurement experiments.