Analysis of asymmetrical scattering by a PEC cylinder coated with a ferrite layer

Abstract

New and interesting analytical results related to the electromagnetic (EM) scattering from a ferrite coating layer are presented herein. The problem is considered as a problem of two-dimensional (2D) EM scattering from a perfect electrical conductor (PEC) cylinder coated with a ferrite layer, assuming propagation transverse to the bias direction. The EM fields in the ferrite layer and the scattered fields in the exterior region are derived analytically. Then, the normalized scattering cross-section of the co- and cross-polarized components are formulated. It is proved that the co-polarized component obtained from the extraordinary wave exhibits asymmetrical scattering due to the effect of the magnetization of the ferrite. The mathematical reason for this asymmetrical scattering is an additional expression in the derivative of the electric field with respect to φ in the ferrite layer, as obtained using Maxwell’s curl equations in this anisotropic layer. On the other hand, the cross-polarized component obtained from the ordinary wave exhibits symmetrical scattering, because it is unaffected by the magnetic properties of the ferrite. This scattering problem is also analyzed using COMSOL based on the finite element method. The results indicate that the presented mathematical analysis provides very accurate results that are in good agreement with those obtained from COMSOL.