Dielectric photonic crystal as medium with negative electric permittivity and magnetic permeability

Efros, A. L.; Pokrovsky, A.

doi:10.1016/j.ssc.2003.12.022

Cited by 54 publications

(37 citation statements)

References 20 publications

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“…Generally, there are several methods to realize a highly directional light source [7][8][9][10][11][12][13][14][15][16][17][18]. A highly directional light source can be obtained, for example, by putting a point source within a resonant cavity structure [7,8], or by placing a point source in a finite photonic crystal [9][10][11], or due to the excitation of surface wave modes [12][13][14], or by utilizing the interference effect from several coherent sources [15,16], or by using electromagnetic wave metamaterials with negative permittivity and permeability [17,18]. Soon, it has also been shown that a highly directional acoustic source can be realized by similar methods [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Enhanced and directional water wave emission by embedded sources

et al. 2010

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Section: Introductionmentioning

confidence: 99%

Enhanced and directional water wave emission by embedded sources

et al. 2010

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“…Following the definition of negative index materials [4], the first natural way to solve this problem was to split the index into two parameters: the permittivity and the permeability. Also, following the shape of the dispersion law, it is natural to consider an anisotropic homogeneous medium: the permittivity and the permeability are tensors [18][19][20]. Finally, as recently introduced in [21][22][23], we consider permittivity and permeability which can take complex values.…”

Section: Introductionmentioning

confidence: 99%

Appropriate truncation for photonic crystals

Raphaël¹,

Gralak²

2008

Journal of Modern Optics

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Effective properties of one-dimensional photonic crystals in the resonance domain are investigated. The obtained analytic expressions of effective permittivity and permeability lead to several results. Firstly, in the case of lossless materials, effective permittivity and permeability take, in general, complex values. It is shown that these values are governed by the truncation of the boundary layer. Considering the particular case of a symmetric unit cell, the effective permittivity and permeability become purely real and, by the way, coherent with physics. Finally, in this case with a symmetric unit cell, we show that effective permittivity and permeability can stay nearly constant in a wide range of wavevectors including propagating and evanescent waves.

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“…Efros 25 argued that the LHM can not be approximated by a homogeneous system because of the periodicity of the meta-material 17,26 .…”

Section: Introductionmentioning

confidence: 99%

Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials

et al. 2005

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We study the frequency dependence of the effective electromagnetic parameters of left-handed and related meta-materials of the split ring resonator and wire type. We show that the reduced translational symmetry (periodic structure) inherent to these meta-materials influences their effective electromagnetic response. To anticipate this periodicity, we formulate a periodic effective medium model which enables us to distinguish the resonant behavior of electromagnetic parameters from effects of the periodicity of the structure. We use this model for the analysis of numerical data for the transmission and reflection of periodic arrays of split ring resonators, thin metallic wires, cut wires as well as the left-handed structures. The present method enables us to identify the origin of the previously observed resonance/anti-resonance coupling as well as the occurrence of negative imaginary parts in the effective permittivities and permeabilities of those materials. Our analysis shows that the periodicity of the structure can be neglected only for the wavelength of the electromagnetic wave larger than 30 space periods of the investigated structure.

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Dielectric photonic crystal as medium with negative electric permittivity and magnetic permeability

Cited by 54 publications

References 20 publications

Enhanced and directional water wave emission by embedded sources

Enhanced and directional water wave emission by embedded sources

Appropriate truncation for photonic crystals

Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials

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