Surface Integral Equation-Method of Moments With Multiregion Basis Functions Applied to Plasmonics

A surface integral equation-method of moments (SIE-MoM) approach is presented for the solution of multiple homogeneous penetrable bodies. The problem is formulated using multiregion (MR) piecewise vector basis functions defined uniformly on the boundary surfaces, interfaces, and line junctions. The MR bases are oriented functions implicitly satisfying the boundary conditions. Their use greatly simplifies the formulation, and thereby the implementation, for the solution of arbitrary complex composite problems having multiple junctions. Moreover, the generation of the MR functions involves a negligible overhead at the setup. Numerical examples are presented to demonstrate the accuracy and versatility of SIE-MoM with MR basis functions in plasmonics, where this approach remains much unexplored.