Extraction of effective metamaterial parameters by parameter fitting of dispersive models

Lubkowski, Grzegorz; Schuhmann, Rolf; Weiland, Thomas

doi:10.1002/mop.22105

Cited by 84 publications

(67 citation statements)

References 18 publications

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“…These resonances are of the FP resonance type. The FP resonances occur when the length of the ENZ channel is around an integer number of the half-guide wave length, The effective permittivity ε eff , permeability μ eff , wave impedance Z eff , and propagation constant gd γ can be extracted using the retrieval method from the simulated scattering parameters [13,16]. The scattering parameters can be expressed as functions of the reflection coefficient Γ and the transmission coefficient T as follows:…”

Section: Scattering Parameters and Extraction Of Constitutive Parametersmentioning

confidence: 99%

A Novel Epsilon Near Zero Tunneling Circuit Using Double-Ridge Rectangular Waveguide

Kim¹,

Son²,

Hong³

et al. 2014

Journal of electromagnetic engineering and science

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In this paper, an epsilon near zero (ENZ) tunneling circuit using a double-ridge rectangular waveguide (RWG) is proposed for the miniaturization of a waveguide component. The proposed ENZ channel and is located in the middle of the input-output RWG (IORWG). The ratio of the height to the width of the channel waveguide is very small compared to the IORWG. By properly adjusting the ridge dimensions, the tunneling frequency of the proposed ENZ channel can be lowered to near the cut-off frequency of the IORWG. For the proposed ENZ tunneling circuit, the approach adopted for extracting the effective permittivity, effective permeability, normalized effective wave impedance, and propagation constant from the simulated scattering parameters was explained. The extracted parameters verified that the proposed channel is an ENZ channel and electromagnetic energy is tunneling through the channel. Simulation and measurement results of the fabricated ENZ channel structure agreed.

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Section: Scattering Parameters and Extraction Of Constitutive Parametersmentioning

confidence: 99%

A Novel Epsilon Near Zero Tunneling Circuit Using Double-Ridge Rectangular Waveguide

Kim¹,

Son²,

Hong³

et al. 2014

Journal of electromagnetic engineering and science

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“…In general, DNG materials possess simultaneously negative effective permittivity and permeability which can be obtained from a periodic array of thin metallic wires; that creates negative permittivity medium, combined with an array of split ring resonators (SRR) to create the negative permeability medium [18,[28][29][30]. Several material models had been proposed to describe the dispersive nature of metamaterials and their frequency dependence [40][41][42][43][44][45][46][47]. Both Drude and Lorentz models were reasonably used to determine the effective constitutive parameters of SNG and DNG materials as a function of frequency [48,49].…”

Section: Effective Materials Parameters and Dispersion Modelsmentioning

confidence: 99%

“…It is remarkably noticed that passive metamaterials are inherently dispersive in a narrow frequency band where they have simultaneously negative permittivity and permeability. The standard Drude-Lorentz model equations can be stated as follows [42]:…”

Section: Effective Materials Parameters and Dispersion Modelsmentioning

confidence: 99%

Electromagnetic Scattering From Conducting Circular Cylinder Coated by Meta-Materials and Loaded With Helical Strips Under Oblique Incidence

Hady¹,

Kishk²

2008

PIER B

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Abstract-The asymptotic strip boundary condition (ASBC) isapplied to analyze the solution of the electromagnetic scattering from a conducting cylinder coated with a homogeneous linear material layer and loaded with conducting helical strips. Such homogeneous material layer can be implemented by a conventional dielectric material, a single negative (SNG) or double negative (DNG) meta-material layer. A study of different materials' constitutive parameters is presented with accordance to Drude and Lorentz material modeling. The boundary condition assumes that the strips are rounded around the coated cylinder in a helical form and both the strip's period and the spacing between the helix turns are very small and mathematically approaching the zero. Scattering due to normal and oblique incident plane waves (θ i , φ i ) of arbitrary polarization using the series solution is also computed. A number of parametric studies were investigated to illustrate the advantages of using metamaterials compared with conventional coating materials in terms of strip's rounding pitch angle and coating layer electrical thickness variations. It is also shown that for SNG materials, modified Bessel functions are used to accept negative arguments. Coating with metamaterials proves to achieve higher forward scattering compared with conventional materials for the same electrical coating thickness.

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“…In June 2002, the investigation of SRR with wire medium of LHM and its equivalent circuits were proposed by three groups at almost simultaneously: the group of Caloz 18 Background Theory of Metamaterials and Itoh [7], [17] the group of Eleftheriades [32] and the group of Oliner [9]. The main idea consists of realizing a transmission line with the series capacitance and shunt inductance that lead to equivalent circuit topologies like T-type or π-type for the transmission line structure.…”

Section: History Of Metamaterialsmentioning

confidence: 99%

“…During the penetration of the external field, the electric and magnetic flux density appears due to polarization effects [76] - [77]. Therefore, it is important to rectify the value of dielectric permittivity and permeability.…”

Section: Extraction Of Normal Thin Dielectric Slabmentioning

confidence: 99%

Synthesis and Analysis of Metamaterial Structure for Microwave Frequency Applications

Uddin¹

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produce uncertainty, therefore, most of the conventional extraction technique rely on relatively thin materials. In the thick materials, the ambiguity appears in different frequency points in several branches which produces phase error. Thus, it is essential to check the proper branch that minimizes the ambiguity and this remains under explored. This doctoral research aims to fill this gap in the scholarly literature by developing a unique extraction technique that will support reducing the ambiguity error and is able to provide accurate values for electromagnetic properties. To achieve this aim, the initial research concentrated on the Nicholsonross-weir (NRW) technique. The modified NRW technique is then applied to a long-length Drude material with known parameters for validation. Another extraction technique known as Kramers-Kronig (KK) technique is also investigated. This KK extraction technique is applied to the use of Cauchy residue integrals instead of using trapezoidal rule integration. Further investigations involved experimentation by using the proposed NRW extraction technique to provide empirical evidence, such as designing a periodic dual-star split ring Synthesis and analysis of metamaterial structure for microwave frequency applications iii resonator (DSSRR) and microwave absorber. DSSRR is an electromagnetic band gap (EBG) based metamaterial structure. The proposed DSSRR structure may be implemented with an equivalent transmission line structure. The advantage of the transmission line structure is that it realizes the artificial structure with minimum losses and produce wide bandwidth. The DSSRR structure is implemented on single unit cells and multiple unit cells. The proposed DSSRR structure delivers a wide-band performance from 7.5 GHz to 9.5 GHz and a maximum rejection up to 47 dB, which offer a sharp cut-off in the reject band. The dispersion diagram exhibits unusual characteristics in both balanced and unbalanced conditions. A microwave absorber was also developed. The proposed design offers three unique shapes without using any additional resistive sheets on top of the ground plane.The three unique shapes are octagonal ring, (OR), cross-wires (CWs), and cut-off circle (CC). The proposed shapes are insensitive to polarization angle, and can achieve perfect absorption. Further work involves the successful extraction of electromagnetic properties using the NRW technique. The numerical and experimental results agree with each other, which further confirms the metamaterial behaviour.iv Synthesis and analysis of metamaterial structure for microwave frequency applications

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Extraction of effective metamaterial parameters by parameter fitting of dispersive models

Cited by 84 publications

References 18 publications

A Novel Epsilon Near Zero Tunneling Circuit Using Double-Ridge Rectangular Waveguide

A Novel Epsilon Near Zero Tunneling Circuit Using Double-Ridge Rectangular Waveguide

Electromagnetic Scattering From Conducting Circular Cylinder Coated by Meta-Materials and Loaded With Helical Strips Under Oblique Incidence

Synthesis and Analysis of Metamaterial Structure for Microwave Frequency Applications

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