Electromagnetic interaction of split-ring resonators: The role of separation and relative orientation

Feth, Nils; König, Michael; Husnik, Martin; Stannigel, Kai; Niegemann, Jens; Busch, Kurt; Wegener, Martin; Lindén, Stefan

doi:10.1364/oe.18.006545

Cited by 79 publications

(93 citation statements)

References 33 publications

(50 reference statements)

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“…Three-dimensional simulations of V-shaped particles have been performed by Stannigel et al to evaluate the possibility of coherent control of spatio-temporal field distributions via chirped pulses [60]. Finally, the paper by Feth et al provides a comparison between experimental and numerical results on the coupling of split-ring resonator dimers [66].…”

Section: Applications To Nanophotonicsmentioning

confidence: 99%

“…As a first step to understand how such a metamaterial's properties arise from the properties of individual building blocks, it is interesting to study the coupling of just two SRRs which form an SRR dimer [66].…”

Section: Split-ring Resonatorsmentioning

confidence: 99%

“…13). Apparently, a strong red shift is observed for small separations which can be attributed to electric dipole-dipole coupling [66]. In total, the required simulation times on a single core of an Intel Xeon X5570 CPU (2:93 GHz) lie between 28 and 34 h.…”

Section: Figure 11mentioning

confidence: 99%

“…Normalising the resulting spectrum for an array of scatterers against a reference spectrum leads, for example, to transmittance and reflectance spectra. More sophisticated setups even allow the measurement of scattering, absorption, and extinction cross-sections of individual particles [66,99]. This section explains how to obtain such data from DG simulations.…”

Section: Laser and Photonics Reviewsmentioning

confidence: 99%

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Discontinuous Galerkin methods in nanophotonics

Busch

König

Niegemann

2011

Laser & Photonics Reviews

145

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Nanophotonic systems facilitate a far-reaching control over the propagation of light and its interaction with matter. In view of the increasing sophistication of fabrication methods and characterisation tools, quantitative computational approaches are thus faced with a number of challenges. This includes dealing with the strong optical response of individual nanostructures and the multi-scattering processes associated with arrays of such elements. Both of these aspects may lead to significant modifications of light-matter interactions. This article reviews the state of the recently developed discontinuous Galerkin finite element method for the efficient numerical treatment of nanophotonic systems. This approach combines the accurate and flexible spatial discretisation of classical finite elements with efficient time stepping capabilities. The underlying principles of the discontinuous Galerkin technique and its application to the simulation of complex nanophotonic structures are described in detail. In addition, formulations for both time-and frequency-domain solvers are provided and specific advantages and limitations of the technique are discussed. The potential of the discontinuous Galerkin approach is illustrated by modelling and simulating several experimentally relevant systems.

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Section: Applications To Nanophotonicsmentioning

confidence: 99%

Section: Split-ring Resonatorsmentioning

confidence: 99%

Section: Figure 11mentioning

confidence: 99%

Section: Laser and Photonics Reviewsmentioning

confidence: 99%

See 2 more Smart Citations

Discontinuous Galerkin methods in nanophotonics

Busch

König

Niegemann

2011

Laser & Photonics Reviews

145

View full text Add to dashboard Cite

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“…In addition, by incorporating some active devices into SRR prototype, it is feasible to introduce operation frequency shift, which can be described by equivalent LC circuit resonance condition alteration [38][39][40][41][42][43][44][45][46][47][48][49][50]. Similar to the electromagnetic response of natural material response, SRR is generally integrated in dense array, and the coupling effects are of paramount importance by introducing spectral splitting and/or resonant frequency shifts [51][52][53][54][55][56][57][58][59]. Liu et al report on the stacked SRRs interaction at optical range influences on the magnetic resonances [52,53].…”

Section: Introductionmentioning

confidence: 99%

Coupling Effect of Split Ring Resonator and Its Mirror Image

Zhang¹,

Zhao²,

Sun³

et al. 2012

PIER

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Abstract-We report on experimental and numerical studies on the coupling effect of a single split ring resonator (SRR) and its mirror image inside an X-band hollow waveguide. It is shown that, for single SRR with gap bearing side perpendicular to E field, the magnetic resonance exhibits red/blue shift as SRR moves to the gap facing/backing waveguide edge, due to the capacitance and magnetic dipoles coupling effect between original SRR and its mirror image, respectively. Furthermore, electric dipole interplay dominates the coupling effect between SRR and its image when SRR has the gap bearing side parallel to the E field, although SRR is excited by E and H field simultaneously.

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A Micromachined Reconfigurable Metamaterial via Reconfiguration of Asymmetric Split‐Ring Resonators

Liu

Zhu

et al. 2011

Adv Funct Materials

175

120

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A micromachined reconfigurable metamaterial is presented, whose unit cell consists of a pair of asymmetric split‐ring resonators (ASRRs); one is fixed to the substrate while the other is patterned on a movable frame. The reconfigurable metamaterial and the supporting structures (e.g., microactuators, anchors, supporting frames, etc.) are fabricated on a silicon‐on‐insulator wafer using deep reactive‐ion etching (DRIE). By adjusting the distance between the two ASRRs, the strength of dipole–dipole coupling can be tuned continuously using the micromachined actuators and this enables tailoring of the electromagnetic response. The reconfiguration of unit cells endows the micromachined reconfigurable metamaterials with unique merits such as electromagnetic response under normal incidence and wide tuning of resonant frequency (measured as 31% and 22% for transverse electric polarization and transverse magnetic polarization, respectively). The reconfiguration could also allow switching between the polarization‐dependent and polarization‐independent states. With these features, the micromachined reconfigurable metamaterials may find potential applications in transformation optics devices, sensors, intelligent detectors, tunable frequency‐selective surfaces, and spectral filters.

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Electromagnetic interaction of split-ring resonators: The role of separation and relative orientation

Cited by 79 publications

References 33 publications

Discontinuous Galerkin methods in nanophotonics

Discontinuous Galerkin methods in nanophotonics

Coupling Effect of Split Ring Resonator and Its Mirror Image

A Micromachined Reconfigurable Metamaterial via Reconfiguration of Asymmetric Split‐Ring Resonators

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