VIE Solutions of 2.5-D Electromagnetic Scattering by Arbitrary Anisotropic Objects Embedded in Layered Uniaxial Media

In this paper, the 3-D electromagnetic (EM) scattering by 2-D dielectric arbitrary anisotropic scatterers embedded in a layered uniaxial anisotropic medium is studied. This 2.5-D EM scattering problem is mathematically formulated by the volume integral equation (VIE) whose discretized weak forms are based on the 2.5-D roof-top basis functions and solved by the stabilized biconjugate gradient fast Fourier transform (BCGS-FFT). Meanwhile, the 2.5-D dyadic Green’s functions (DGFs) for the layered uniaxial media are given in detail and their evaluation is also discussed. In particular, a tricky variable replacement strategy is proposed to obtain analytical expressions for partial 2.5-D DGF components. Besides the validation of the 2.5-D DGFs by comparing them with the corresponding 3-D values, several numerical experiments are also carried out to validate the accuracy and efficiency of the BCGS-FFT solver for the 2.5-D EM scattering in the layered anisotropic circumstance via comparing the results with those obtained by a 3-D VIE solver. The major new contribution of this work is to extend the 2.5-D EM scattering computation to accommodate the uniaxial anisotropy of the layered background medium and the arbitrary anisotropic scatterers.