Design of small-scale gradient coils in magnetic resonance imaging by using the topology optimization method**Project supported by the National Natural Science Foundation of China (Grant Nos. 51675506 and 51275504) and the German Research Foundation (DFG) (Grant Nos. #ZA 422/5-1 and #ZA 422/6-1).

Abstract

A topology optimization method based on the solid isotropic material with penalization interpolation scheme is utilized for designing gradient coils for use in magnetic resonance microscopy. Unlike the popular stream function method, the proposed method has design variables that are the distribution of conductive material. A voltage-driven transverse gradient coil is proposed to be used as micro-scale magnetic resonance imaging (MRI) gradient coils, thus avoiding introducing a coil-winding pattern and simplifying the coil configuration. The proposed method avoids post-processing errors that occur when the continuous current density is approximated by discrete wires in the stream function approach. The feasibility and accuracy of the method are verified through designing the z-gradient and y-gradient coils on a cylindrical surface. Numerical design results show that the proposed method can provide a new coil layout in a compact design space.