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.