Electromagnetic Plane Wave Scattering by Multilayered Biaxial Cylinders via a Volume Integral Equation Method

The electromagnetic scattering by multilayered biaxial circular cylinders is considered in this work. The incident plane wave impinges normally on the cylinder, with respect to cylinder's axis. The method of solution is based on a volume integral equation technique, solved by expanding the electric field and the electric displacement in cylindrical vector wave functions of Dini-type which constitute an orthogonal vectorial basis in the transversal circular cross section of the cylinder. Our formalism allows for an easy and direct incorporation of multilayered biaxial permittivity profiles, thru the constitutive relation between the electric field and the matrix-vector product of the inverse permittivity tensor and the electric displacement. Both types of H- and E-wave polarization of the incident plane wave are considered. To validate our method, we employ the HFSS commercial software and compare the normalized scattering cross section for homogeneous and inhomogeneous biaxial profiles. In addition, we also employ the exact solution for the special case of uniaxial anisotropy. Numerical results are given for a combined biaxial-highly inhomogeneous isotropic permittivity tensor.