Boundary element method for a kind of 3-D PEC magnetic induction problem

In general, the electromagnetic problem with certain boundary value is composed of a partial differential equation (PDE) and essential boundary conditions. BEM (boundary element method) is an effective way to analyze some electromagnetic problems with integral formulations. By point collocation, the boundary integral equation can be transformed into linear equations. Then numerical method is used to solve the linear equations and finally the solution of the original PDE equations can be obtained. For perfect electric conductor (PEC) between coils, the induced voltage of the receiver coil due to the conductor can be calculated using the secondary magnetic field scattered from the target. Here we compute the sensitivity distributions between two coils due to a PEC object using perturbation method, and the results show that BEM is an effective way to calculate sensitivity maps in magnetic induction problems.