The Scattering of Electromagnetic Fields from Anisotropic Objects Embedded in Anisotropic Multilayers

This article presents an efficient method for calculating the scattered electromagnetic (EM) fields from anisotropic objects embedded in general anisotropic multilayers, both with arbitrary anisotropy. The electric field integral equation (EFIE) is derived based on the electric dyadic Green's functions for general anisotropic multilayers. The volume integral equation (VIE) involves a convolution form between the dyadic Green's function and equivalent sources. To accelerate the integral computation, the fast Fourier transform technique (FFT) is adopted which reduces the computational cost from O(N
²
) to O(N log N). The biconjugate gradient stabilized method (BiCGSTAB) is then applied to solve the EFIE efficiently to calculate the total electric fields in the computational domain. In order to validate the algorithm, several examples are modeled for anisotropic objects embedded in both isotropic and anisotropic multilayers. The modeled scattered fields are compared with the finite-element method (FEM) results. The good agreement between the two results shows the algorithm works properly.