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The polarizability of an alternative sequence of isotropic and radially anisotropic multilayer sphere

In this article, the polarizability of a multilayer sphere that consists of an alternative sequence of layers of isotropic and spherically radially anisotropic (SRA) material has been investigated. Within each SRA layer, components of the tensor permittivity have different values in radial and tangential directions. The mathematical treatment for extracting electrostatic polarizability has been formulated in terms of scattered potentials. Obtained results have been used to describe the behavior of a whole sphere as a function of number of the isotropic and SRA alternating layers using a numerical approach.