Design of Planar Self-shielded Gradient Coils

Abstract

Planar self-shielded gradient coils have been designed using a Hankel-Bessel expansion of magnetic fields and the minimum inductance formulation. We found that linear gradient fields in high accuracy can be obtained by positioning field-setting-points on the imaging spherical surface. The obtained gradient field linearity of the shielded gradient coils is within 2% at the imaging spherical region and the residual external fields are less than 1% of the fields generated by non-shielded coils.