A three dimensional analysis of magnetic fields around a thin magnetic conductive layer using vector potential

This paper describes a method for the three dimensional analysis of quasi-static magnetic fields around a thin magnetic conductive layer. The impedance boundary conditions (IBCs) for the vector potential are introduced on both sides of the layer surface. The magnetic field around the layer is numerically determined under the IBCs. The present method does not require numerical analysis of the electromagnetic field inside the layer which is formidable due to its extreme spatial structure. The present method gives reasonable solutions to numerical examples. Index terms - Eddy currents, Electromagnetic compatibility, Shielding, Impedance boundary condition, Boundary element methods