Analytical circuit model for split ring resonators in the far infrared and optical frequency range

Delgado, V.; Sydoruk, O.; Tatartschuk, E.; Marqués, R.; Freire, Manuel J.; Jelínek, Lukáš

doi:10.1016/j.metmat.2009.03.001

Cited by 37 publications

(27 citation statements)

References 14 publications

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“…As reported in [16], a good agreement between analytical and numerical model is reached when the error is less then 10%.…”

Section: Comparison Between Analytical and Numerical Modelsupporting

confidence: 68%

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Metamaterial-Based Sensor Design Working in Infrared Frequency Range

Spada¹,

Bilotti²,

Vegni³

2011

PIER B

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Abstract-In this paper, we propose the design of high sensitivity and selectivity metamaterial-based biosensors operating in the THz regime. The proposed sensors consist of planar array of resonant metallic structures, whose frequency response is modified through the variation of the surrounding dielectric environment. We consider different resonator geometries, such as the squared, circular, asymmetrical, and omega ones, and the analysis of the biosensors is conducted through proper equivalent quasi-static analytical circuit models. The metallic particles are assumed deposited on a glass substrate through proper titanium adhesion layers. Exploiting the proposed analytical model, which is verified through the comparison to full-wave numerical simulations, we study the biosensor resonance frequencies as a function of the geometric parameters of the individual inclusions. Finally, we optimize the structure in order to obtain high sensitivity and selectivity performances. The numerical results show that the proposed structures can be successfully applied as biosensors working in the THz region.

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“…As reported in [16], a good agreement between analytical and numerical model is reached when the error is less then 10%.…”

Section: Comparison Between Analytical and Numerical Modelsupporting

confidence: 68%

“…• C s is the surface capacitance due to the charges on the metallic surfaces, as recently introduced in [16]. The corresponding expression reads [16]:…”

Section: Capacitance Evaluationmentioning

confidence: 99%

Metamaterial-Based Sensor Design Working in Infrared Frequency Range

Spada¹,

Bilotti²,

Vegni³

2011

PIER B

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“…Further generalizations were affected by Delgado et al 36 by including kinetic inductance. The charge distribution in the split ring is given as…”

Section: B Field Approachmentioning

confidence: 99%

Mapping inter-element coupling in metamaterials: Scaling down to infrared

Tatartschuk

Gneiding

Hesmer

et al. 2012

Journal of Applied Physics

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Electrowetting based infrared lens using ionic liquids Appl. Phys. Lett. 99, 213505 (2011) Modulation of negative index metamaterials in the near-IR range Appl. Phys. Lett. 91, 173105 (2007) Mixed metal films with switchable optical properties Appl. Phys. Lett. 80, 1349Lett. 80, (2002 Population dynamics of the threemicron emitting level of Er3+ in YAlO3 J. Appl. Phys. 80, 6610 (1996) Experimental characterization of reactive ion etched germanium diffraction gratings at 10.6 μm Appl. Phys. Lett. 69, 3453 (1996) Additional information on J. Appl. Phys. The coupling between arbitrarily positioned and oriented split ring resonators is investigated up to THz frequencies. Two different analytical approaches are used, one based on circuits and the other on field quantities that includes retardation. These are supplemented by numerical simulations and experiments in the GHz range, and by simulations in the THz range. The field approach makes it possible to determine separately the electric and magnetic coupling coefficients which, depending on orientation, may reinforce or may cancel each other. Maps of coupling are produced for arbitrary orientations of two co-planar split rings resonant at around 2 GHz and then with the geometry scaled down to be resonant at around 100 THz. We prove that the inertia of electrons at high frequencies results in a dramatic change in the maps of coupling, due to reduction of the magnetic contribution. Our approach could facilitate the design of metamaterials in a wide frequency range up to the saturation of the resonant frequency. V C 2012 American Institute of Physics.

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“…Consequently, it is necessary to formulate some models that can accurately predict their behaviors have been formulated. Several models have been put forward, such as the LC resonant model [6] , TL-RLC model [7] , Fano model [8] , and dipole resonance model [9] . In most of previous investigations, however, the models are limited because it is difficult to provide a specific value for each circuit parameter needed to fabricate a given component.…”

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confidence: 99%

Equivalent circuit analysis of terahertz metamaterial f ilters (Invited Paper)

Zhang¹,

Li²,

Cao³

et al. 2011

Chin. Opt. Lett.

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An equivalent circuit model for the analysis and design of terahertz (THz) metamaterial filters is presented. The proposed model, derived based on LMC equivalent circuits, takes into account the detailed geometrical parameters and the presence of a dielectric substrate with the existing analytic expressions for self-inductance, mutual inductance, and capacitance. The model is in good agreement with the experimental measurements and full-wave simulations. Exploiting the circuit model has made it possible to predict accurately the resonance frequency of the proposed structures and thus, quick and accurate process of designing THz device from artificial metamaterials is offered.OCIS codes: 160.3918, 300.6495. doi: 10.3788/COL201109.110012.Metamaterials have been demonstrated over a significant portion of the electromagnetic spectra from radio, microwave, and terahertz (THz) to the optical regimes. The unique properties of metamaterials are not attainable with naturally occurring materials [1] . Thus, enormous applications in devices and techniques, such as superlens, cloaking, antenna, and sub-wavelength photolithography are enabled [2−5] . The capability of metamaterials has been broadly expanded because they allow precise control of the electromagnetic responses. The appreciation of electromagnetic response control through metamaterial structures provides unique benefits in the design of versatile devices, including filters, modulators, and switchable components.However, geometry strongly influences the electromagnetic performance of metamaterials. Consequently, it is necessary to formulate some models that can accurately predict their behaviors have been formulated. Several models have been put forward, such as the LC resonant model [6] , TL-RLC model [7] , Fano model [8] , and dipole resonance model [9] . In most of previous investigations, however, the models are limited because it is difficult to provide a specific value for each circuit parameter needed to fabricate a given component. This is particularly true for a complex design. In this letter, an equivalent circuit model is proposed. The model combines an LMC resonator with the existing analytic expressions for the capacitive and inductive elements. The analytical model agrees well with the experimental measurements and the full-wave simulations for various designs.Because of their wide applications in sensing, spectroscopy, imaging, security, and so forth, filters have become one of the most important devices. Based on the most commonly used U-shaped resonators [10,11] , a metamaterial filter design is chosen, i.e., a merged double-U (MDU) split ring resonator (SRR) structure with normal incident electromagnetic field orientations, as shown in Fig. 1. The proposed structure offers relevant opportunities and considerable flexibilities to control the electromagnetic response over a broad THz frequency range.Two exactly consistent U-shape resonators are merged oppositely to form a "MDU molecule." The inset of Fig. 1 shows the diagram of a unit cell of MDU...

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Analytical circuit model for split ring resonators in the far infrared and optical frequency range

Cited by 37 publications

References 14 publications

Metamaterial-Based Sensor Design Working in Infrared Frequency Range

Metamaterial-Based Sensor Design Working in Infrared Frequency Range

Mapping inter-element coupling in metamaterials: Scaling down to infrared

Equivalent circuit analysis of terahertz metamaterial f ilters (Invited Paper)

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