Volume Integral Equation Formulation for Electromagnetic Scattering by Highly Inhomogeneous Anisotropic Cylinders

摘要

In this work we report a volume integral equation formulation for the electromagnetic scattering by highly inhomogeneous anisotropic circular cylinders under normal incidence. The development of the method is based on a vectorized formalism which exploits the cylindrical vector wave functions and allows for the simultaneous treatment of both transverse electric (TE) and transverse magnetic (TM) incidence. The cylindrical vector wave functions employed in this work form entire domain basis vector functions which are constructed so as to guarantee orthogonal relations in the circular domain of anisotropy. The method is validated with the exact solution for single and double layered isotropic cylinders, for both TE and TM incidence, as well as with the commercial HFSS software for anisotropic permittivity profiles. Numerical results are given for various values of the parameters.