Higher order VIE method based on non‐conformal discretisation for EM scattering from anisotropic objects

Abstract

This article presents a higher order method of moments (MoM) solution of the volume electric field integral equation (VEFIE) to model the electromagnetic (EM) scattering from anisotropic dielectric objects with arbitrary shape and inhomogeneity. This higher order solution is based on the higher order current modelling and higher order geometric modelling. Namely, the unknown electric flux density vector is discretised by the higher order hierarchical vector (HOHV) basis functions, and the geometric structure is discretised by the curved tetrahedral elements. Both kinds of higher order discretisation can reduce the number of mesh elements and the associated unknowns significantly. When the solution accuracy is on a comparable level, authors’ higher order VIE demands much less memory and CPU time than the conventional low-order volume integral (VIE). Moreover, authors’ scheme accommodates the non-conformal discretisation, because no divergence operator is imposed on the vectorial unknown. Numerical results are provided to demonstrate the accuracy, efficiency, and flexibility of the proposed approach.