Scattering By a Composite and Anisotropic Circular Cylindrical Structure: Exact Solution

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Abstract
Exact analytical solution for the two-dimensional problem of electromagnetic (EM) scattering by a composite and anisotropic circular cylindrical structure is presented in this paper. The scatterer consists of a metallic cylinder coated by a lossy anisotropic layer and by an impedance sheet. In the anisotropic layer both permittivity and permeability tensors, when referred to principal axes (ρ,Φ,z), are biaxial and diagonal. The impedance sheet is also anisotropic and is characterized by a surface admittance tensor . The primary EM source is an arbitrarily polarized plane wave, normally incident on the cylinder. Closed form expressions are derived for the EM fields in the biaxial layer, induced currents on the conducting core and on the impedance sheet, and also the scattered fields in the exterior region. The axial components of the EM fields are expressed in terms of Fourier series whose terms are products of radial eigenfunctions and azimutal harmonic functions. It is shown that, in the anisotropic region, the radial eigenfunctions satisfy the Bessel differential equation with complex orders. Curves showing the bistatic scattering cross-section as a function of the scattering angle, for a variety of composite anisotropic geometries, are presented.

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