On the continuity condition for the higher-order VSIE-MoM formulation

A higher-order MoM solution of the volume-surface integral equation (VSIE) based on the higher-order hierarchical Legendre basis functions is presented. The technique is suitable for solving electromagnetic problems involving composite metallic-dielectric objects. Numerical examples for a finite FSS show that the explicit enforcement of the continuity condition at a metallic-dielectric interface significantly improves the solution if higher-order basis functions are defined on rather large domains with metallic edges present. This improvement manifests itself in reducing the number of unknowns and reducing the MoM matrix filling time for the same accuracy achieved in comparison with the solution in which the continuity condition is ignored.