Finding the polarizability of radially anisotropic multilayer circular cylinder

In this article, we have studied the electrostatic response of a Polarly Radially Anisotropic (PRA) multilayer circular cylinder. It consists of different components of the permittivity in radial and tangential directions for each layer. We have considered the familiar model of quasi-static for obtaining the polarizability and effective permittivity of the PRA multilayer circular cylinder. We also have studied the behavior of polarizability of PRA multilayer circular cylinder, as a function of the number of anisotropic alternating layers by using a numerical approach.