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Fast and accurate analysis of thin shields with holes based on the current sheet integral equation

The distribution of induced electric current in thin metallic shields with holes is determined by using the current sheet integral equation. A polyhedral surface with triangular elements is chosen to model the shield surface. The surface density of current is taken to be uniform over each element and is described by using specialized vector functions whose coefficients are scalar quantities associated with the interior nodes and with the holes in the shield. A Galerkin method is used to solve the integral equation. Numerical experiments show that the proposed method is more efficient than other methods applied so far to thin shields with holes. Once the current distribution is computed, the magnetic induction, the shielding efficiency and the forces exerted on the shield can rapidly be evaluated.