A circuit model for the hybrid resonance modes of paired SRR metamaterials

Poo, Yin; Wu, Rui‐Xin; Liu, Min

doi:10.1364/oe.22.001920

Cited by 5 publications

(3 citation statements)

References 21 publications

(31 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is shown that the net effect of both the in-plane electrical and the out-of-plane magnetic dipoles determines the interaction strength [21,7]. Circuit models are also developed to model and to quantify split rings and their coupling [22,23,24].…”

Section: Introductionmentioning

confidence: 99%

Energy Coupled Mode Theory for Electromagnetic Resonators

Elnaggar

Tervo

Mattar

2015

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

There is recent interest in the inter/intra-element interactions of metamaterial unit cells. To calculate the effects of these interactions which can be substantial, an "ab-initio" general coupled mode equation, in the form of an eigenvalue problem, is derived. The solution of the master equation gives the coupled frequencies and fields in terms of the uncoupled modes. By doing so, the problem size is limited to the number of modes rather than the, usually large, discretized spatial and temporal domains obtained by full-wave solvers. Therefore, the method can be considered as a numerical recipe which determines the behavior of a complex system once its simpler ingredients are known. Besides quantitative analysis, the coupled mode equation proposes a pictorial view of the split rings' hybridization. It can be regarded as the electromagnetic analog of molecular orbital theory. The solution of the eigenvalue problem for different configurations gives valued information and insight about the coupling of metamaterials unit cells. For instance, it is shown that the behavior of split rings as a function of the relative position and orientation can be systematically explained. This is done by singling out the effect of each relevant parameter such as the coupling coefficient and coupled induced frequency shift coefficients.

show abstract

Section: Introductionmentioning

confidence: 99%

Energy Coupled Mode Theory for Electromagnetic Resonators

Elnaggar

Tervo

Mattar

2015

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

show abstract

“…The interaction energies have been determined, for example, using Lagrange's equation of motion 35,36 and in terms of the coupling of the in-plane electrical and the out-of-plane magnetic dipole moments associated with an SRR 31,37 . Circuit models have also been developed to qualitatively and quantitatively analyse SRRs and their coupling 34,38 . Moreover, based on a coupled mode formalism, general expressions for the coupling coefficient κ T valid for both conducting and dielectric resonators have been derived that make it possible to estimate the frequencies and fields of the coupled modes for arbitrarily oriented and spaced resonators [39][40][41] .…”

Section: Discussionmentioning

confidence: 99%

Superdirective dimers of coupled self-resonant split ring resonators: Analytical modelling and numerical and experimental validation

Vallecchi

Radkovskaya

et al. 2020

Sci Rep

View full text Add to dashboard Cite

Superdirective antennas developed over the last century have received renewed interest in recent years from the development of metamaterials. these arrays of electromagnetic resonators (or meta-atoms) carrying short wavelength electro-and/or magneto-inductive waves support current distributions with very high spatial frequency as required by the classical conditions for superdirectivity. As meta-atoms can have both electric and magnetic dipole characteristics (and hence radiation properties), developing antennas exploiting these distributions can challenge conventional intuitions regarding the optimal configurations required. In this work we are reporting the development of a genuinely superdirective array using split ring resonators (SRRs). We provide a comprehensive analytical model characterizing the radiation from SRR dimers in which excitation of only one split ring leads to superdirective radiation via mutually coupled modes. our model exploits simple circuit descriptions of coupled resonant circuits, combined with standard radiation formulae for curvilinear current distributions. Using this simple model we are able to map directivity against possible SRR locations and orientations in two dimensions and identify the unique optimal configuration which meets the requirements for superdirective emission. We validate the theoretical findings by comparison to both full wave simulations and experiments showing that our SRR dimer achieves endfire directivity very close to the maximum theoretical value. Directional and smart antennas are one of the approaches that could be used to increase the capacity and flexibility of wireless systems in future integrated gigabit communications (5G and beyond). The advantages of a steerable antenna system include the possibility of tracking a terminal signal and mitigating interference between network nodes, thus improving network capacity. Directional antennas can also improve power efficiency 1. The most common technique to realize a directive antenna consists in assembling a multiple-antenna array in which the radiation pattern can be reinforced in a particular direction and suppressed in undesired directions. By individually controlling each array element in phase and amplitude, the direction of radiation can be electronically steered (phased arrays) 2. Multi-element arrays are by now widely used in based stations of cellular networks, but simple implementation for mobile devices is severely constrained by the need for small antennas, the conventional phased array techniques for enhancing the directivity leading to a significant increase of the antenna size and requiring a separate RF chain for each antenna element. On the other hand, antenna miniaturization is usually achieved at the expense of efficiency, bandwidth, directivity and gain, but especially miniaturized antennas tends to present a practically omnidirectional radiation pattern. However, future regulations might require the use of adaptive directional antennas also for mobile terminals, due to the invaluable role...

show abstract

“…These structures include absorbers [27], nanoantennas [28,29], filters [30,31], circuit boards [32,33], computational devices [34,35], and the mu-near-zero media [36], and they provide guidelines for the optimization of metamaterial structures to obtain the desired electromagnetic properties. In addition, the nanocircuit model aids in a better understanding of the anomalous properties of metamaterials [37]. However, the explicit relationship between the nanocircuit and the metamaterial has not been definitively proposed.…”

Section: Introductionmentioning

confidence: 99%

Precise one-to-one equivalent nanocircuit models for layered metamaterials

Ding,

Rao,

et al. 2024

New J. Phys.

View full text Add to dashboard Cite

A precise one-to-one equivalent nanocircuit model for layered metamaterials is presented in this work. The theoretical analysis establishes a precise link between the nanocircuit system and the optical ﬁlm system by comparing between the optical transfer matrix of an optical ﬁlm and the transmission matrix of the distributed-element model. Through dimensional analysis, the connection between the optical properties of the ﬁlm and the distributed circuit components of the transmission line is revealed. Subsequently, the lumped-element model is simpliﬁed to the distributed-element model for nonmagnetic ﬁlms with diﬀerent optical features. Finally, the lumped-element model is further applied to multilayer metamaterials with diﬀerent microstructures. All analysis is conﬁrmed through the agreement between the S-parameters of the equivalent nanocircuit model and the reﬂection and transmission coeﬃcients of the layered metamaterials.

show abstract

A circuit model for the hybrid resonance modes of paired SRR metamaterials

Cited by 5 publications

References 21 publications

Energy Coupled Mode Theory for Electromagnetic Resonators

Energy Coupled Mode Theory for Electromagnetic Resonators

Superdirective dimers of coupled self-resonant split ring resonators: Analytical modelling and numerical and experimental validation

Precise one-to-one equivalent nanocircuit models for layered metamaterials

Contact Info

Product

Resources

About