Abstract
In cloaking, a body is hidden from detection by surrounding it by a coating consisting of an unusual anisotropic nonhomogeneous material. The permittivity and permeability of such a cloak are determined by the coordinate transformation of compressing a hidden body into a point or a line. The radially-dependent spherical cloaking shell can be approximately discretized into many homogeneous anisotropic layers; each anisotropic layer can be replaced by a pair of equivalent isotropic sub-layers, where the effective medium approximation is used to find the parameters of these two equivalent sub-layers. In this work, the scattering properties of cloaked dielectric sphere is investigated using a combination of approximate cloaking, where the dielectric sphere is transformed into a small sphere rather than to a point, together with discretizing the cloaking material using pairs of homogeneous isotropic sub-layers. The back-scattering normalized radar cross section, the scattering patterns are studied and the total scattering cross section against the frequency for different number of layers and transformed radius.
Highlights
The concept of electromagnetic cloaking has drawn considerable attention concerning theoretical, numerical and experimental aspects [1,2,3,4,5,6,7,8]
The radially-dependent spherical cloaking shell can be approximately discretized into many homogeneous anisotropic layers; each anisotropic layer can be replaced by a pair of equivalent isotropic sub-layers, where the effective medium approximation is used to find the parameters of these two equivalent sub-layers
The scattering properties of cloaked dielectric sphere is investigated using a combination of approximate cloaking, where the dielectric sphere is transformed into a small sphere rather than to a point, together with discretizing the cloaking material using pairs of homogeneous isotropic sub-layers
Summary
The concept of electromagnetic cloaking has drawn considerable attention concerning theoretical, numerical and experimental aspects [1,2,3,4,5,6,7,8]. Some components of the electrical parameters of the cloaking material (ε, μ) are required to have infinite or zero value at the boundary of the hidden object. This requires the use of metamaterials which can produce such values, they are narrow band since they rely on using array of resonant elements (as split ring resonators) [9,10,11,12]. Approximate cloaking can be achieved by transforming the hidden body virtually into a small object rather than a point or a line as shown, which eliminates the zero (point transformed) or infinite (line transformed) values of the electrical parameters [13,14]. This, leads to some scattering, since the hidden body is virtually transformed into a small object rather than a point or a line, and the scattering decreases as the transformed sphere radius is smaller
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