Analytical formulation for the resonant frequency of split rings

Sydoruk, O.; Tatartschuk, E.; Shamonina, E.; Solymár, L.

doi:10.1063/1.3056052

Cited by 165 publications

(91 citation statements)

References 27 publications

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“…We find that it will result in a great offset of resonant frequency without consideration of the capacitance of the gaps. If the gap is narrow, its capacitance can be written as C gap = ε 0 ch/g + C 0 , with C 0 = ε 0 (h + c + g) [24]. According to the formulations given in Ref.…”

Section: Comparisons Between the Results Respectively From Retrieval mentioning

confidence: 99%

Determining the Effective Electromagnetic Parameters of Bianisotropic Metamaterials With Periodic Structures

Chen¹,

Lei²,

Yang³

et al. 2013

PIER M

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Abstract-A straightforward approach is proposed to retrieve the effective electromagnetic parameters of a slab of bianisotropic material from the scattering parameters. We first obtain the values of the impedance and refractive index of a slab of metamaterial, followed by the deduction of the expressions for determining these electromagnetic parameters including permittivity, permeability and magnetoelectric coupling coefficient. Then, comparisons between the results coming respectively from retrieval technique and analytical method are made. Finally, we demonstrate the properties of split-ring resonator materials in other two orientations with respect to the incident plane wave and apply the proposed method to anisotropic materials to reveal its generality.

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Section: Comparisons Between the Results Respectively From Retrieval mentioning

confidence: 99%

Determining the Effective Electromagnetic Parameters of Bianisotropic Metamaterials With Periodic Structures

Chen¹,

Lei²,

Yang³

et al. 2013

PIER M

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“…The gap capacitance is calculated by the expression for the parallelplate capacitor of the gap with the correction due to the fringing fields. The surface capacitance is calculated by the analytical expression for the surface capacitance of a metallic split ring [4].…”

Section: Parameter Extraction For Equivalent Circuitmentioning

confidence: 99%

An Equivalent Circuit Model for a Dumbbell-Shaped DGS Microstrip Line

Woo¹,

Lee²

2014

Journal of electromagnetic engineering and science

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This paper presents an equivalent circuit model for a dumbbell-shaped defected ground structure (DGS) in a microstrip line. The effects of equivalent circuit elements of a dumbbell-shaped DGS and their magnetic coupling to the host transmission line are modeled as a simple lumped-element circuit. In addition, simple approximate expressions to determine the main circuit parameters for this model are presented. The transfer characteristic calculated by the proposed circuit model is compared with the results of EM simulation and measurement. This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/ by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. ⓒ

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“…These frequency selective structures are usually realized as dielectric and metallic loop geometries. Geometry of the structure, as well as its material give rise to an equivalent electrical network of resistances, capacitances, and inductances [1,2]. This network exhibits a resonant characteristic at a certain resonant frequency determined by the resistances, capacitances, and inductances associated with the geometry and the materials.…”

Section: Introductionmentioning

confidence: 99%

Reference-Incorporating Microwave Resonator-Based Sensors for Biological Sensing Applications

Camli

Torun

Dündar

et al. 2017

Proceedings of Eurosensors 2017, Paris, France, 3–6 September 2017

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Use of microwave resonator-based sensors is a relatively new approach for the detection of biological reagents. Sensing mechanism is based on the tracking of the resonant frequency on electromagnetic resonator. Resonant frequency depends on structure geometry and material but is also affected by secondary changes in environment. Addition of a reference resonator to suppress these effects is proposed in this work. Identical sensor structures designed at 2 GHz, fabricated using low-cost processes are used in experiments to demonstrate the use of a resonator pair for sensing of glucose in solutions, yielding a sensitivity of 34.72 MHz/ (mg/mL).

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Analytical formulation for the resonant frequency of split rings

Cited by 165 publications

References 27 publications

Determining the Effective Electromagnetic Parameters of Bianisotropic Metamaterials With Periodic Structures

Determining the Effective Electromagnetic Parameters of Bianisotropic Metamaterials With Periodic Structures

An Equivalent Circuit Model for a Dumbbell-Shaped DGS Microstrip Line

Reference-Incorporating Microwave Resonator-Based Sensors for Biological Sensing Applications

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