Three-Dimensional, Vector, Boundary Element Formulation for Multiport Scattering

摘要

Recent work by S. Kagami and I. Fukai and also work by E. Tonye and H. Baudrand has demonstrated the application of the boundary element method for solving planar (two-dimensional) electromagnetic multiport scattering problems. The boundary element method is shown by these workers to be computationally more efficient than using finite element methods for two-dimensional cases. This report extends application of the boundary element method to the three-dimensional case, requiring a field vector integral equation formulation as opposed to the scalar field equation formulation used by the workers above. Computational details are discussed and numerical results are presented for a few simple test cases. The computational storage costs are shown to be proportional to the discontinuity volume raised to the four-thirds power.