Toward creating isotropic microwave composites with negative refraction

Simovski, Constantin; Sauviac, B.

doi:10.1029/2003rs002898

Cited by 29 publications

(37 citation statements)

References 19 publications

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“…The polarizabilities a ee and a mm of a cubic unit cell of 6 Ω-particles (see Fig. 1) are the sums of the polarizabilities a Ω ee and a Ω mm for individual particles [6]. The influence of the mutual coupling of the particles is small and the resonant frequency for such a cubic unit cell of 6 Ω-particles has only a small shift from that for an isolated Ω-particle.…”

Section: Polarizability Of An Isotropic Cubic Unit Cellmentioning

confidence: 99%

“…To the best of our knowledge, the only isotropic medium with possible negative permittivity and permeability (within a certain frequency band) that has been reported is formed by many isotropic cubic cells of Ω particles [6]. Each isotropic cubic cell is made by putting 6 Ω-shaped perfectly conducting particles on its faces (as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

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Frequency range and explicit expressions for negative permittivity and permeability for an isotropic medium formed by a lattice of perfectly conducting particles

Simovski¹,

2003

Physics Letters A

147

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An analytical model is presented for a rectangular lattice of isotropic scatterers with electric and magnetic resonances. Each isotropic scatterer is formed by putting appropriately 6 Ω-shaped perfectly conducting particles on the faces of a cubic unit cell. A self-consistent dispersion equation is derived and then used to calculate correctly the effective permittivity and permeability in the frequency band where the lattice can be homogenized. The frequency range in which both the effective permittivity and permeability are negative corresponds to the mini-band of backward waves within the resonant band of the individual isotropic scatterer.

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Section: Polarizability Of An Isotropic Cubic Unit Cellmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Frequency range and explicit expressions for negative permittivity and permeability for an isotropic medium formed by a lattice of perfectly conducting particles

Simovski¹,

2003

Physics Letters A

147

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“…Other approaches to this problem are scarce, e.g., [3,4], but there are some analytical results for two-dimensional versions of the geometry [5,6]. We note that high-dielectric resonators [7] may provide an efficient alternative to split-ring resonators as constituent "molecules" of a medium displaying extraordinary magnetic properties.…”

Section: Introductionmentioning

confidence: 99%

Low-Frequency Scattering Analysis and Homogenisation of Split-Ring Elements

Stén¹,

Sjöberg²

2011

PIER B

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Abstract-A key structure in so-called metamaterial mediums is the elementary split-ring resonator. We consider in this paper the lowfrequency electromagnetic scattering by a split-ring particle modelled as a perfectly conducting wire ring, furnished with a narrow gap, and derive analytical solutions for the electric and magnetic dipole moments for different kinds of incidence and polarisation in the quasistatic approximation. Through a vectorial homogenisation process, the expressions discovered for the dipole moments and the related polarisability dyadics are linked with the macroscopic constitutive equations for the medium. We further show that the condition for resonance of a medium consisting of simple split-rings cannot be achieved by means of the given quasi-static terms without violating the underlying assumptions of homogenisation. Nevertheless, the results are applicable for sparse medium of rings, and we derive numerical guidelines for the applicability with some examples of the effect of the considered split-ring medium on electromagnetic wave propagation.

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“…Near the boundary of the hidden sphere, the values of the radial components of ε, µ of the cloaking material are nearly zero. This makes the values of ε, µ in one of the pair of isotropic layers to be very small, and can be implemented using metamaterials [11,17,18]. Two approaches are possible in choosing the material properties in the pair of sub-layers.…”

Section: Introductionmentioning

confidence: 99%

Approximate Electromagnetic Cloaking of a Dielectric Sphere Using Homogeneous Isotropic Multi-Layered Materials

Zamel¹,

Diwany²,

Hennawy³

2013

JEMAA

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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.

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Toward creating isotropic microwave composites with negative refraction

Cited by 29 publications

References 19 publications

Frequency range and explicit expressions for negative permittivity and permeability for an isotropic medium formed by a lattice of perfectly conducting particles

Frequency range and explicit expressions for negative permittivity and permeability for an isotropic medium formed by a lattice of perfectly conducting particles

Low-Frequency Scattering Analysis and Homogenisation of Split-Ring Elements

Approximate Electromagnetic Cloaking of a Dielectric Sphere Using Homogeneous Isotropic Multi-Layered Materials

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