Comparison of magnetic field uniformities for discretized and finite-sized standard $\cos heta$, solenoidal, and spherical coils

摘要

A significant challenge for experiments requiring a highly uniform magneticfield concerns the identification and design of a discretized and finite-sizedmagnetic field coil of minimal size. In this work we compare calculations ofthe magnetic field uniformities and field gradients for three differentstandard (i.e., non-optimized) types of coils: $\cos\theta$, solenoidal, andspherical coils. For an experiment with a particular requirement on either thefield uniformity or the field gradient, we show that the volume required by aspherical coil form which satisfies these requirements can be significantlyless than the volumes required by $\cos\theta$ and solenoidal coil forms.