Left-handed metamaterials: detailed numerical studies of the transmission properties

Abstract

Using numerical simulation techniques such as the transfer matrix method and the commercially available code Microwave Studio, we study the transmission properties of left-handed (LH) metamaterials and arrays of split-ring resonators (SRRs). We examine the dependence of the transmission through single-and double-ring SRRs on parameters of the system such as the size and shape of the SRRs, size of the unit cell, dielectric properties of the embedding medium where the SRRs reside, and SRR orientation relative to the incoming electromagnetic field. Moreover, we discuss the role of SRRs and wires on the electric cut-off frequency of the combined system of wires and SRRs, as well as the influence of the various system parameters on the LH transmission peak of a medium composed of SRRs and wires. Finally, demonstrating the disadvantages of the currently used SRR designs due to the lack of symmetry, we discuss more symmetric, multigap SRRs, which constitute very promising components for future two-dimensional and three-dimensional LH structures.

The Nature of Electromagnetic Waves in Metamaterials and Metamaterial-inspired Configurations

“…The slight shifts between the resonant frequencies are due to the coupling between the two split rings. Similar results have been illustrated by Kafesaki et al [37] when studied the transmission properties of left-handed materials, here we provide an alternative numerical techniques by introduce Floquet modes into the analysis of metamaterial based FSSs. Fig.…”

Novel Broadband Terahertz Negative Refractive Index Metamaterials: Analysis and Experiment

“…The shifts between the resonances of the double-ring and the outer and inner ring are due to the additional capacitance between the rings [11]. The interesting result is obtained in SRR-C, where the outer and inner rings generate resonances at 820 and 1,650 GHz, respectively, as illustrated in Fig.…”

“…However, presuming the gap is very small, there can be a circulating current inside the SRR-C as well. Here, we consider only the outer-ring, as its magnetic response dominates the SRR [11]. The gap of the outer ring is varied from 15.6 µm up to the size of the (inner) ring side (78 µm).…”

Enriching the Symmetry of Maxwell Equations through Unprecedented Magnetic Responses of Artificial Metamaterials and Their Revolutionary Applications

“…This set-up will increase the total capacitance value as C total = C gap + C parallel . In references [30][31][32][33][34][35][36][37][38][39], many researchers have systematically investigated the properties of SRR, such as the size and the shape of the SRRs, the size of the unit cell, dielectric properties of the substrate, complementary structures of SRR, and the orientation relative to incident waves in the microwave region.…”

“…Surprisingly, there is a transmission dip at the magnetic response frequency of the SRR, which means that an external electric field can also excite SRR [38,39]. More specifically, as the electric polarization is parallel to the split side of the SRRs, the magnetic resonance is excited through the induced current circulating within the SRRs, which is called electric excitation of magnetic resonance (or the EEMR effect) [38].…”