On the resonances and polarizabilities of split ring resonators

Abstract

In this paper, the behavior at resonance of split ring resonators ͑SRRs͒ and other related topologies, such as the nonbianisotropic SRR and the broadside-coupled SRR, are studied. It is shown that these structures exhibit a fundamental resonant mode ͑the quasistatic resonance͒ and other higher-order modes which are related to dynamic processes. The excitation of these modes by means of a properly polarized time varying magnetic and/or electric fields is discussed on the basis of resonator symmetries. To verify the electromagnetic properties of these resonators, simulations based on resonance excitation by nonuniform and uniform external fields have been performed. Inspection of the currents at resonances, inferred from particle symmetries and full-wave electromagnetic simulations, allows us to predict the first-order dipolar moments induced at the different resonators and to develop a classification of the resonances based on this concept. The experimental data, obtained in SRR-loaded waveguides, are in agreement with the theory and point out the rich phenomenology associated with these planar resonant structures.

Novel Broadband Terahertz Negative Refractive Index Metamaterials: Analysis and Experiment

“…Consequently, the double-ring SRR-C has the first and the second resonance at 800 GHz and 1,660 GHz respectively. Although numerical and experimental results [4,7,8,12] have shown that there is no resonance in the SRR-C at the same frequency as those of the other SRRs, the results do not cover a higher frequency where the resonances of each individual ring (inner and outer) occur. The SRR-C is in essence the SRR-A case with a 90 • rotation of the SRR plane while its axis is fixed.…”

Analysis of transmission lines loaded with pairs of coupled resonant elements and application to sensors

“…resonant particles (a necessary condition for this is that the two metallic loops forming the SRR are tightly coupled, and hence very close [33,34]). , the impedance of this branch is found to be:…”

Coplanar Waveguides Incorporating SRRS or Csrrs: A Comprehensive Study

“…The small discrepancies between simulation and measurements are attributed mainly to the inhomogeneities in the SRRs. Some papers discussed already the resonances and polarizabilities of SRRs [15], the inherent saturation of the resonant frequency when increasing the number of the rings [16], the miniaturization of the CSRRs loaded microstrip lines [17], and the group velocity in split ring resonators coupled to microstrip lines [18]. We carried out an extensive study for this kind of filter design.…”

“…However, reducing the distance between the rings will be an avenue to increase the coupling and, hence, to decrease the resonance frequency. SRRs are considered as lumped or quasilumped elements in [15]. Their electrical size is λ g /8 according to the outer radius of the SRRs and their resonance frequency, where λ g is the guide wavelength.…”