Coupling mechanisms for split ring resonators: Theory and experiment

Hesmer, Frank; Tatartschuk, E.; Zhuromskyy, O.; Radkovskaya, A.; Shamonin, Mikhail; Tu, Hao; Stevens, C.J.; Faulkner, Grahame; Edwards, D.J.; Shamonina, E.

doi:10.1002/pssb.200674501

Cited by 110 publications

(68 citation statements)

References 15 publications

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“…In the case of a closed metallic coil, the induced magnetic field just outside the ring would always be opposed to the field just inside the ring: this would result in a negative magnetic coupling coefficient if another ring were placed just outside. However, due to the gap in the ring, the magnetic field may "leak" outside 37 and the coupling may become positive. It follows then that for a slightly tilted configuration, the magnetic coupling will be zero and this is indeed borne out by the maps of Fig.…”

Section: Orientational Maps a Microwave Regimementioning

confidence: 99%

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Mapping inter-element coupling in metamaterials: Scaling down to infrared

Tatartschuk

Gneiding

Hesmer

et al. 2012

Journal of Applied Physics

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Electrowetting based infrared lens using ionic liquids Appl. Phys. Lett. 99, 213505 (2011) Modulation of negative index metamaterials in the near-IR range Appl. Phys. Lett. 91, 173105 (2007) Mixed metal films with switchable optical properties Appl. Phys. Lett. 80, 1349Lett. 80, (2002 Population dynamics of the threemicron emitting level of Er3+ in YAlO3 J. Appl. Phys. 80, 6610 (1996) Experimental characterization of reactive ion etched germanium diffraction gratings at 10.6 μm Appl. Phys. Lett. 69, 3453 (1996) Additional information on J. Appl. Phys. The coupling between arbitrarily positioned and oriented split ring resonators is investigated up to THz frequencies. Two different analytical approaches are used, one based on circuits and the other on field quantities that includes retardation. These are supplemented by numerical simulations and experiments in the GHz range, and by simulations in the THz range. The field approach makes it possible to determine separately the electric and magnetic coupling coefficients which, depending on orientation, may reinforce or may cancel each other. Maps of coupling are produced for arbitrary orientations of two co-planar split rings resonant at around 2 GHz and then with the geometry scaled down to be resonant at around 100 THz. We prove that the inertia of electrons at high frequencies results in a dramatic change in the maps of coupling, due to reduction of the magnetic contribution. Our approach could facilitate the design of metamaterials in a wide frequency range up to the saturation of the resonant frequency. V C 2012 American Institute of Physics.

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Section: Orientational Maps a Microwave Regimementioning

confidence: 99%

“…A detailed description of the setup can be found in Ref. 37. Thus, at that particular frequency range, we have, in addition to analytical and numerical data, experimental data as well.…”

Section: -5mentioning

confidence: 99%

Mapping inter-element coupling in metamaterials: Scaling down to infrared

Tatartschuk

Gneiding

Hesmer

et al. 2012

Journal of Applied Physics

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“…Further, the coupling may be either of the magnetic or electric type, depending on the relative orientation of the resonators. This causes the coupling constant between resonators to become complex and leads to even more complicated dispersion [62]. Up to now, a series of microwave devices based on MI waves have been proposed, such as magneto-inductive waveguides [63], broadband phase shifters [64], parametric amplifiers [65], and pixel-to-pixel sub-wavelength imagers [66,67].…”

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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“…With such orientation, the single coupling mechanism between the line and the SRRs is magnetic. However, by rotating the SRRs, electric coupling must also be accounted for in the model (giving rise to mixed coupling), and it explains the asymmetry in the reflection coefficients measured from the two ports, as demonstrated in [25] (an extensive study on the coupling mechanisms between SRRs and the effects of relative orientation is reported in [26], [27]). Coupling between adjacent SRRs was considered in [28], [29].…”

Section: Introductionmentioning

confidence: 99%