Higher-order MOM of volume integral equation using hierarchical vector basis functions

A new family of hierarchical divergence-conforming vector functions based on curved tetrahedral volumetric cell is proposed for method of moment (MOM) solutions of volume integral equations in this paper. The higher order method of volume electric-field integral equation (VEFIE) for dielectric objects electromagnetic scattering problems. The expressions of the new hierarchical divergence-conforming vector basis functions up to the second order are presented in this paper. Numerical results employed higher order basis functions are presented to show the number of unknowns can be significantly reduced. And the presented approach is validated by the accurate results for scattering by the layered objects employed the same mesh sizes.