Abstract
We studied a Spherically Radially Anisotropic (SRA) multilayer sphere with an arbitrary number of layers. Within each layer permittivity components are different from each other in radial and tangential directions. Under the quasi-static approximation, we developed a more generalized mathematical model that can be used to calculate polarizability of the SRA multilayer sphere with any arbitrary number of layers. Moreover, the functionality of the SRA multilayer sphere as a cloak has been investigated. It has been shown that by choosing a suitable contrast between components of the permittivity, the SRA multilayer sphere can achieve threshold required for invisibility cloaking.
Highlights
Electromagnetic cloaking has achieved great progress theoretically as well as experimentally.In addition to the optical regime [1,2,3,4], many applications have been considered for the microwave range of spectrum [3]
For the validation of this model, we took into account Equation (37) that shows the relationship between radial and tangential permittivity components required for invisibility cloaking
0.1 rad we studied the coherent vision of the cloaking
Summary
Electromagnetic cloaking has achieved great progress theoretically as well as experimentally. The design of spherical cloak with isotropic multilayers has been proposed [5] Another approach, called scattering cancellation and basic principle of scattering has been proposed [6,7,8,9,10]. Under full-wave analysis, the analytical solution of electromagnetic (EM) scattering by radially multilayered uniaxial anisotropic spheres placed in free space and all the field expansion coefficients are expressed in the form of spherical vector wave functions [16]. The concept of mantle cloaking based on the concept of cloaking by surface has been presented in order to overcome the strict limitations and requirements that are mandatory for metamaterial cloaking [7,21] Theoretical investigations of this cloaking technique with ideal assumptions as well as robust practical designs for 1-D, 2-D and 3-D geometries within FSS technology have been developed [21]. All the solutions have been performed up to three layers and obtained results are in good agreement with previously presented works [23,24]
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