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

Simovski, Constantin; He, Sailing

doi:10.1016/s0375-9601(03)00494-8

Cited by 147 publications

(98 citation statements)

References 21 publications

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“…To overcome this obstacle various approaches for obtaining isotropic MMs have been put forward. [8][9][10][11][12][13][14] A systematic approach to design an isotropic magnetically active MM was proposed by Baena et al 15 The first step is to choose a highly symmetric MM. Such MM is constructed based on a cubic unit cell arranged at a cubic lattice.…”

Section: Introductionmentioning

confidence: 99%

High symmetry versus optical isotropy of a negative-index metamaterial

et al. 2010

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Optically isotropic metamaterials ͑MMs͒ are required for the implementation of subwavelength imaging systems. At first glance one would expect that their design should be based on unit cells exhibiting a cubic symmetry being the highest crystal symmetry. It is anticipated that this is a sufficient condition since it is usually assumed that light does not resolve the spatial details of MM but experiences the properties of an effective medium, which is then optically isotropic. In this work we challenge this assumption by analyzing the isofrequency surfaces of the dispersion relation of the split cube in carcass negative index MM. We show that this MM is basically optically isotropic but not in the spectral domain where it exhibits negative refraction. The primary goal of this contribution is to introduce a tool that allows to probe a MM against optical isotropy.

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Section: Introductionmentioning

confidence: 99%

High symmetry versus optical isotropy of a negative-index metamaterial

et al. 2010

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“…When the size of the spherical scatterers is small compared to the wavelength in the surrounding dielectric, but not small compared to that in the material of the scatterers, the effective parameters of the composite medium become frequency dependent. Models that describe this performance and give the mathematical expression for the effective constant values have been introduced [18][19][20][21][22]. In the work of Lewin [30] a material composed of spherical dielectric particles arranged in a cubic lattice was considered.…”

Section: The Sng and Dng Performance Of The Lattice Of Spherical Partmentioning

confidence: 99%

“…Periodic arrays of interspaced conducting non-magnetic split ring resonators and thin wires [10][11][12] as well planar periodic microstrip arrangements [13][14][15][16][17] were proved theoretically, numerically and experimentally to support left handed waves. An alternative way to realize an artificial SNG or DNG medium is to compose a structure by creating a lattice of double positive (DPS) dielectric spherical particles with high dielectric constant, inside a DPS dielectric of much lower dielectric constant [18][19][20][21][22]. This hybrid medium exhibits a frequency depended performance and has the advantage of simple fabrication and mainly easy integration in a microwave device like a waveguide.…”

Section: Introductionmentioning

confidence: 99%

Microwave Filtering in Waveguides Loaded With Artificial Single or Double Negative Materials Realized With Dielectric Spherical Particles in Resonance

Siakavara¹,

Damianidis²

2009

PIER

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Abstract-The potential to implement microwave filters with special properties, by loading a waveguide with artificial Single Negative (SNG) or Double negative (DNG) materials was investigated. The SNG or DNG medium was structured with dielectric spherical particles of high permittivity embedded in a dielectric material of much smaller permittivity. Numerical analysis of the frequency response of the waveguide loaded with slabs of this type of composite dielectrics reveals that filtering performance, with attributes like very sharp attenuation at the bounds of frequency pass or stop band can be obtained. The central frequency as well as the bandwidth of the filtering can be controlled via the size and the dielectric constants of the particles, the dielectric constant of the hosting material and the size of the slab.

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“…After that, all kinds of microstructure configurations of LHMs with different shapes were found in recent years, such as Omega-shaped [8], S-shaped [9], Double S-shaped [10], H-shaped [11], Fishnet Structure [12], and so on.…”

Section: Introductionmentioning

confidence: 99%

The Microstructure Design Optimization of Negative Index Metamaterials Using Genetic Algorithm

Zhao¹,

Chen²,

Chen³

et al. 2011

PIER Letters

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Abstract-In recent years, metamaterials have been the subject of research interest for many investigators worldwide. However, most of reported metamaterial microstructures are obtained based on human intuition, experience or large numbers of simulation experiments which were time-consuming, ineffective or expensive. In this paper, we propose a novel negative index metamaterial microstructure design methodology that uses a FDTD solver optimized by genetic algorithm (GA) technique in order to achieve a simultaneously negative permeability and permittivity. Firstly, an novel genetic algorithm optimization model for wide frequency band of negative refraction was proposed. Then the effectiveness of the new technique was demonstrated by a microstructure design example that was optimized by GA. By using numerical simulations techniques and S-parameter retrieval method, we found that the GA-designed optimal solution can exhibit a wide LH frequency band with simultaneously negative values of effective permittivity and permeability. Therefore, the design methodology presented in this paper is a very convenient and efficient way to pursue a novel metamaterial microstructure of left-handed materials with desired electromagnetic characteristics.

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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

Cited by 147 publications

References 21 publications

High symmetry versus optical isotropy of a negative-index metamaterial

High symmetry versus optical isotropy of a negative-index metamaterial

Microwave Filtering in Waveguides Loaded With Artificial Single or Double Negative Materials Realized With Dielectric Spherical Particles in Resonance

The Microstructure Design Optimization of Negative Index Metamaterials Using Genetic Algorithm

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