Abstract
This paper proposes an approach to the design of gradient coils for superconducting magnetic resonance imaging (MRI). The designed method takes use of Fourier series expansions to describe the continuous current density of the coil surface and then employs stream function method to extract the coil patterns. During the numerical simulation, a linear equation is constructed and solved using a Tikhonov regularization scheme. Using this method, the gradient coils with high level of linearity are designed. Our contributions in this paper are to expend the current densities of coils into Fourier series analytically as well as optimize the parameters of regularization from the plotted curve.
