Abstract

We present a planar design of a metamaterial exhibiting electromagnetically induced transparency that is amenable to experimental verification in the microwave frequency band. The design is based on the coupling of a split-ring resonator with a cut-wire in the same plane. We investigate the sensitivity of the parameters of the transmission window on the coupling strength and on the circuit elements of the individual resonators, and we interpret the results in terms of two linearly coupled Lorentzian resonators. Our metamaterial designs combine low losses with the extremely small group velocity associated with the resonant response in the transmission window, rendering them suitable for slow light applications at room temperature.

Highlights

  • In recent years, there has been considerable interest in metamaterials, i.e., artificial microstructured materials with properties not found with natural materials [1]

  • Since the coupled split-ring resonators (SRR)-wire structure has no magnetic resonances in the electromagnetically induced transparency (EIT) transmission window, the index of refraction can be estimated from n ≈ ε and the group index from ng = n + ω d n/dω

  • We have seen before that the strong current excited in the dark SRR at frequencies around the transparency frequency dominates the response of the metamaterial. This current does not flow through the resistance R1, and the group velocity and absorption in the transparency window are largely insensitive on the value of R1 or on the losses in the wire

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Summary

Introduction

There has been considerable interest in metamaterials, i.e., artificial microstructured materials with properties not found with natural materials [1]. It is possible to create materials with negative effective permittivity and negative effective permeability in an overlapping frequency band [4, 5] These so-called lefthanded materials exhibit novel electromagnetic phenomena, such as backward wave propagation, negative refraction, inverse Doppler effect, and radiation tension instead of pressure [6]. It was suggested that coupled plasmonic resonating elements [27, 28], coupled SRRs [29], or coupled fish-scale structures [30] can exhibit an electromagnetic response that is reminiscent of electromagnetically induced transparency (EIT) in laser-driven atomic systems [31].

Planar EIT Metamaterials
Analytical Model for the Metamaterial
Influence of Circuit Parameters on the EIT Transmission Window
Resistance of the radiative resonator
Resistance of the dark resonator
Coupling strength
Summary
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