Feng Jia1, Zhenyu Liu2, Jan G. Korvink1,3
1Freiburg Institute of Advanced Studies (FRIAS), University of Freiburg, Freiburg, Germany; 2Changchun Institute of Optics, Fine Mechanics & Physics (CIOMP), Chinese Academy of Sciences, Changchun, China, People's Republic of; 3Department of Microsystems Engineering (IMTEK), University of Freiburg, Freiburg, Germany
Based on an alternative differentiable objective function which is related with the maximum of current density, an iterative optimization method is proposed to design a biplanar micro-coil in this abstract. The main goal of this method is to increase the minimal distance between adjacent conductors of the coil. The planar surface can be discretized using a high-order triangular mesh. The magnetic field is calculated using the Biot-Savart law where the surface current density is expressed using a stream function and the surface integration is implemented using surface numerical integration based on the shape functions of the finite element.