Gradient Coils Design with Regularization Method for Superconducting Magnetic Resonance Imaging

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 technique to extract the coil wires. During the numerical simulation, a linear equation is constructed and solved with the use of 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.