2-D Electromagnetic Scattering From Multiple Arbitrarily Anisotropic Inhomogeneities Embedded in Multilayered Biaxially Anisotropic Elliptical Cylinders Solved by the Hybrid SIM/SEM

In this communication, the 2-D electromagnetic (EM) scattering from multiple inhomogeneous arbitrarily anisotropic scatterers embedded inside multilayered biaxially anisotropic elliptical cylinders when the illumination source is transverse electric (TE
$_{\textit {z}}$
) polarized is formulated and solved by the hybrid spectral integral method (SIM) and spectral element method (SEM). The multiple smooth elliptical boundaries are discretized in the framework of 1-D integral equations (IEs), and the equivalent current on the boundaries is solved for by SIM. In contrast, the multiple inhomogeneous regions containing the anisotropic scatterers are separately discretized in the framework of 2-D Helmholtz equations and the magnetic fields inside the regions are solved by SEM with the 1-D boundary integration to truncate the computational domain. The multilayered SIM system matrix and the multiple SEM system matrices are coupled together by the radiation boundary conditions to form the final system matrix. Based on this matrix, both the equivalent current in multiple boundaries and the magnetic fields inside multiple inhomogeneous scatterers are simultaneously solved. Two numerical experiments are carried out to validate the computation precision and efficiency of the proposed hybrid method.