Scattering From Dielectric Cylinders Having Radially Layered Permittivity

Abstract

This paper presents a mathematical approach for studying electromagnetic wave scattering from a finite cylinder with radially layered permittivity. An estimation of finite-sized cylinder's scattering cross section is based on the approximation that the internal fields are the same as those induced within an infinitely-long cylinder having the same dielectric configuration. Numerical examples and convergence, and consistency with physical principles are tested, and agreement with literature is demonstrated. The study indicates that permittivity arrangements within the confines of the cylinder, its size, and angular distribution have significant effects on backscattering energies. Depending on the permittivity arrangements, trunks' representation by a single-layer dielectric cylinder in image synthesis could compromise the accuracy of their backscattered energy returns. Although the solution has been presented in terms of dielectric cylinders, it could be extended to cases of conducting and ferrite materials by the use of values of constitutive parameters.