Reverse design method of biplanar array coils in magnetic shielding box for cell culture

This paper proposes a reverse design method of biplanar array coils for development of nonlinear gradient or uniform magnetic field coils used in cell culture magnetic shielding box (MSB). Firstly, the planar current density was divided into sub-regions of multiple arrays, and the superimposed magnetic field in the target area was obtained by calculating the current density in the multi-array sub-regions. Secondly, the mirror image method was introduced to solve the influence of high magnetic permeability materials on the magnetic field generated by the coil, and the stream function method was used to determine the windings of the biplanar array coils. This method can not only design a nonlinear gradient array coils (NGAC) for precisely compensating residual field, but also can design uniform array coils (UAC). Finally, simulation and experimental results demonstrate the effectiveness of the proposed method.