Integral equation based analysis of scattering from 3D inhomogeneous anisotropic bodies

The paper presents an integral equation (IE) based scheme to analyze scattering from inhomogeneous bodies with anisotropic electromagnetic properties. Newly emerging metamaterials have both anisotropic /spl epsiv/ and /spl mu/ due to the structured orientation of inclusions. We develop the necessary mathematics to enable the modeling of 3D bodies of arbitrary shape using tetrahedral tessellation and apply Galerkin testing to solve the problem numerically. Evaluation of elements in the resulting matrix equation is considerably more involved with the introduction of generalized /spl epsiv/ and /spl mu/ tensors; computing these integrals is elucidated. Also, schemes for accurately compensating the artificial surface charges for tetrahedral basis functions is demonstrated. The proposed scheme can be easily retrofitted with acceleration techniques like the fast multipole method (FMM) to permit large scale computations. It is shown that incorporation of such techniques is a trivial task. Likewise, periodic Green´s functions can be used for the analysis of periodic band-gap structures.