Feng Jia1, Zhenyu Liu2, Jan G. Korvink1,3
1Department of Microsystems Engineering (IMTEK), University of Freiburg, Freiburg, Germany; 2Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences,, Changchun, China; 3Freiburg Institute of Advanced Studies (FRIAS), University of Freiburg, Freiburg, Germany
In this paper, we present an efficient numerical iterative optimization method for designing linear gradient coil on a current-carrying surface. Using the scalar stream function as design variable, the value of the magnetic field inside a computational domain is calculated using the least square finite element method. The first-order sensitivity is calculated using the adjoint equation method. The detailed numerical optimization skills are discussed in order to obtain a fast and effective optimization procedure. Numerical examples demonstrate that this method can be used to design a gradient coil on any surface.