Feng Jia1, Zhenyu Liu1, Anna M. Welz2, Maxim Zaitsev2, Jan G. Korvink1, Jrgen Hennig2
1Dept. of Microsystems Engineering IMTEK, University of Freiburg, Freiburg, Germany; 2Dept. of Diagnostic Radiology, Medical Physics, University Hospital Freiburg, Freiburg, Germany
In this paper, we present a high-order discretization method to design the cylindrical gradient coil. The cylindrical surface can be exactly discretized using a high-order triangular mesh when the surface is expressed using a cylindrical coordinate system. 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. One numerical example demonstrates that this method can be used to design the surface gradient coil.
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