Characterization of the composite right/left-handed transmission line metamaterial circuits using iterative method WCIP

Elbellili, Taieb; Azizi, Mohamed Karim; Latrach, Lassaad; Trabelsi, H.; Gharsallah, Ali; Baudrand, H.

doi:10.1017/s1759078717000423

Cited by 6 publications

(3 citation statements)

References 14 publications

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“…The developed equations generating these vectors are cited in [22]. We can deduce the spectral reflection coefficient from the admittance matrix, as follows…”

Section: Iy Izmentioning

confidence: 99%

Wave Propagation in Rh/Lh Periodic Lumped Circuits Using Iterative Method Wcip

Azizi¹,

Elbellili²,

Gharsallah³

et al. 2019

PIER M

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The negative refractive property of a meta-material medium modeled by an array of localized elements is demonstrated numerically using the iterative method based on the wave concept. This property is used to show the channeling and control of the electromagnetic beam inside the triangular shaped meta-material supports that are interfaced with the conventional positive refractive index supports. WCIP was used to view the electromagnetic behavior of a source placed in a right-hand medium interfaced with another left-hand medium in order to present the properties of the negative refraction.

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“…The developed equations generating these vectors are cited in [22]. We can deduce the spectral reflection coefficient from the admittance matrix, as follows…”

Section: Iy Izmentioning

confidence: 99%

Wave Propagation in Rh/Lh Periodic Lumped Circuits Using Iterative Method Wcip

Azizi¹,

Elbellili²,

Gharsallah³

et al. 2019

PIER M

Self Cite

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“…() Recently, the method has been developed to study almost periodic networks with rectangular topology excited by localized sources, and it has been successfully applied for modeling the metamaterial lenses and quasi‐periodic lumped circuits. ()…”

Section: Introductionmentioning

confidence: 99%

The wave concept iterative process (WCIP) method for electrical circuit network with triangular and hexagonal topology

Ammar¹,

Baudrand

2019

Circuit Theory & Apps

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Summary This paper deals with an RLC circuit network with triangular or hexagonal grid. It is about a planar equilateral triangular grid where the passive (resistor, capacitor, and inductor) or active (voltage source for example) components are located at the sides or/and at nodes attached to the ground. The planar graph is oriented by three main direction vectors phase shifted to 60° degrees. The wave concept iterative process (WCIP) method was employed to the theoretical formulation of the problem. In the formulation, the potential difference across each circuit component is represented by an auxiliary source defined in the spectral domain. The proposed theory is developed into two definition domains: a spectral domain in which periodicity and coupling between the circuit components are defined and a spatial domain describing the network topology and imposing the continuities conditions (Kirchhoff laws). The transition between the spectral and spatial domain is ensured by the so‐called fast hexagonal Fourier transform. Numerical applications demonstrate the ability of the method for solving the inhomogeneous triangular lattices. Various conceptions have been proposed including an RL, RC, and RLC triangular network circuit, a perturbed triangular RLC circuit, and a triangular circuit excited by many lumped sources.

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“…An iterative wave concept iterative process (WCIP) method based on the concept of waves can overcome all the limitations of the methods quoted above. The WCIP method, which is almost used near two decades in the electromagnetic analysis of planar microstrip microwave circuits [15–18], is recently used in a novel approach to analyze quasi-periodic lumped circuits [19–23]. These periodic lumped circuits can be considered as good equivalent representations to accurately model continuous mediums if the cell's length is much smaller than the guided wavelength.…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of metamaterial lenses based on lumped circuits by using a wave concept iterative method

Elbellili

Azizi

Latrach

et al. 2018

Int. J. Microw. Wireless Technol.

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In this paper, a developed theory of a novel approach of the wave concept iterative process (WCIP) method is presented. This method is well used to demonstrate many attractive properties of metamaterials and to analyze metamaterial-based negative refractive index lenses by easy and speedy computation of the electromagnetic field distribution. These metamaterial-based circuits are established by using periodicL–CandC–Lnetworks. The results of simulation using the proposed method are justified theoretically.

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Characterization of the composite right/left-handed transmission line metamaterial circuits using iterative method WCIP

Cited by 6 publications

References 14 publications

Wave Propagation in Rh/Lh Periodic Lumped Circuits Using Iterative Method Wcip

Wave Propagation in Rh/Lh Periodic Lumped Circuits Using Iterative Method Wcip

The wave concept iterative process (WCIP) method for electrical circuit network with triangular and hexagonal topology

Modeling and analysis of metamaterial lenses based on lumped circuits by using a wave concept iterative method

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