A procedure for modeling material junctions in 3-D surface integral equation approaches

Surface integral equations become cumbersome to solve when arbitrary combinations of materials, and complicated arrangements of junctions between those materials, are considered. This paper describes a straightforward approach for generalizing integral equation techniques to handle any combinations of materials with junctions. Particular attention is focused on a unique, easily implemented junction resolution algorithm that maps each basis function coefficient to one or more unknowns. Three examples are presented for validation purposes.