Magnetoinductive waves in one, two, and three dimensions

Shamonina, E.; Kalinin, V.; Ringhofer, K. H.; Solymár, L.

doi:10.1063/1.1510945

Cited by 355 publications

(302 citation statements)

References 12 publications

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“…We attribute the observed size-dependent resonant response of the coherent metamaterial to the existence of strong interactions between the meta-molecules mediated by magneto-inductive surface waves [7]. It follows from symmetry arguments that magnetic dipoles coherently oscillating perpendicular to the plane of an infinite (or very large) regular array can re-radiate only in its plane, which ensures very low scattering losses and therefore a high Q-factor of the system.…”

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confidence: 95%

Spectral Collapse in Ensembles of Metamolecules

et al. 2010

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We report on a new collective phenomenon in metamaterials: spectral line collapse with increasing number of the unit cell resonators (meta-molecules). Resembling the behaviour of exotic states of matter, such as Bose-Einstein condensates of excitons and magnons, this new effect is linked to the suppression of radiation losses in periodic arrays. We demonstrate experimentally spectral line collapse at microwave, terahertz and optical frequencies. It emerges as a universal and truly scalable effect underpinned by classical electromagnetic interactions between the excited meta-molecules.The burgeoning field of metamaterials provides unique opportunities to engineer the electromagnetic properties of artificial media and achieve exotic functionalities, such as negative refraction [1] and cloaking [2]. Similarly to natural crystals, which are created by arranging individual atoms and molecules in a regular grid, periodic ensembles of subwavelength electromagnetic resonators present an effective medium to an incident with properties not available in natural materials. Here, we study the dependence of the metamaterial properties on the number of meta-molecules in the microwave, THz and optical domain, and demonstrate a new collective phenomenon in metamaterials: in contrast to solid state crystals, where bulk arrangements result in broadening of the individual element spectral line, leading eventually to the formation of absorption bands, regular ensembles of meta-molecules can exhibit the opposite effect, i.e. spectral line collapse. The reported phenomenon is characteristic to a novel class of artificial media, which we call "coherent" metamaterials [3] and are characterized by very strong interactions between the electromagnetically excited metamolecules that provide for a low rate of energy loss due to scattering and lead to a high-quality resonant response. An example of a coherent metamaterial is an array of ASRs, where the meta-molecular excitation corresponds to an oscillating magnetic dipole perpendicular to the plane of the array that does not interact directly with the magnetic field of the incident wave, thus creating a nearly thermodynamically isolated ensemble of strongly interacting coherent "molecules" with interesting physical properties. To illustrate this behavior we present a comparison with an "incoherent" metamaterial: a twodimensional array formed by pairs of concentric conducting rings that also supports a high-quality resonant response. In this case, however, the response of the array is a sum of the individual meta-molecule responses, rather than a collective property.The coherent microwave metamaterial was manufactured as a regular planar array of asymmetric split rings (ASR) etched from a 35 µm thick copper layer on a 1.6 mm thick FR4 substrate. The diameter of the ASR was 6 mm with a line width of 0.4 mm and was split in two segments corresponding to 140 • and 160 • arcs. The unit cell of 7.5 × 7.5 mm 2 rendered the arrays nondiffracting at normal incidence for frequencies of up to 40 GHz. I...

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confidence: 95%

Spectral Collapse in Ensembles of Metamolecules

et al. 2010

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“…Indeed, MP resonance has been already applied to a one-dimensional sub-wavelength waveguide in the microwave range [55][56][57]. Shamonina et al proposed a propagation of waves supported by capacitively loaded loops using a circuit model in which each loop is coupled magnetically to a number of other loops [55].…”

Section: Coherent Collective Waves In One-dimensional Meta-chainsmentioning

confidence: 99%

“…Shamonina et al proposed a propagation of waves supported by capacitively loaded loops using a circuit model in which each loop is coupled magnetically to a number of other loops [55]. Since the coupling is due to induced voltages, the waves are referred to as magneto-inductive waves (MI).…”

Section: Coherent Collective Waves In One-dimensional Meta-chainsmentioning

confidence: 99%

Hybridization effect in coupled metamaterials

Liu

Wang

et al. 2010

Front. Phys. China

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Although the invention of the metamaterials has stimulated the interest of many researchers and possesses many important applications, the basic design idea is very simple: composing effective media from many small structured elements and controlling its artificial EM properties. According to the effective-media model, the coupling interactions between the elements in metamaterials are somewhat ignored; therefore, the effective properties of metamaterials can be viewed as the "averaged effect" of the resonance property of the individual elements. However, the coupling interaction between elements should always exist when they are arranged into metamaterials. Sometimes, especially when the elements are very close, this coupling effect is not negligible and will have a substantial effect on the metamaterials' properties. In recent years, it has been shown that the interaction between resonance elements in metamaterials could lead to some novel phenomena and interesting applications that do not exist in conventional uncoupled metamaterials. In this paper, we will give a review of these recent developments in coupled metamaterials. For the "meta-molecule" composed of several identical resonators, the coupling between these units produces multiple discrete resonance modes due to hybridization. In the case of a "meta-crystal" comprising an infinite number of resonators, these multiple discrete resonances can be extended to form a continuous frequency band by strong coupling. This kind of broadband and tunable coupled metamaterial may have interesting applications. Many novel metamaterials and nanophotonic devices could be developed from coupled resonator systems in the future.

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“…11͒: while with the realistic losses the shifted sources can be well resolved, the patterns at low loss are not comprehensive and could not be improved even by frequency variation. This is a consequence of numerous magnetoinductive excitations ͑spatial resonances͒ across the lens structure 25,26 which are favored by low dissipation and relatively small size of the entire lens. This leads to various standing wave patterns which depend on frequency and coil parameters.…”

Section: B Spatial Resolution Of the Lensmentioning

confidence: 99%

Realistic metamaterial lenses: Limitations imposed by discrete structure

et al. 2010

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We study the peculiarities of a metamaterial "superlens," caused by its discrete structure and finite size. We show that precise modeling of the lens provides remarkable distinctions from continuous medium approximation. In particular, we address the problem of highest resolution that can be achieved with a realistic electrically thin metamaterial lens. We conclude that discrete structure imposes essential limitations on the resolution and that the resolution cannot be improved by decreasing dissipation in the system. Further implications related to effective medium description of discrete structures are discussed.

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Magnetoinductive waves in one, two, and three dimensions

Cited by 355 publications

References 12 publications

Spectral Collapse in Ensembles of Metamolecules

Spectral Collapse in Ensembles of Metamolecules

Hybridization effect in coupled metamaterials

Realistic metamaterial lenses: Limitations imposed by discrete structure

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