Almost Periodic Lumped Elements Structure Modeling Using Iterative Method: Application to Photonic Jets and Planar Lenses

Azizi, Mohamed Karim; Baudrand, H.; Elbellili, Taieb; Gharsallah, and Ali

doi:10.2528/pierm16121906

Cited by 8 publications

(4 citation statements)

References 21 publications

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“…The abolition of the boundary due to the diffraction comes from the amplification of evanescent waves. This amplification, which comes from the sign inversion of the wave vector, allows the evanescent wave to be transmitted to the image without attenuation [25]. To achieve this, it is necessary that the transmission is done without reflection at interfaces with the classic external environment.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Metamaterial-Based Flat Lens: Wave Concept Iterative Process Approach

Azizi¹,

Baudrand²,

Latrach³

et al. 2017

PIER C

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Abstract-Metamaterials left-hand negative refractive index has remarkable optical properties; this paper presents the results obtained from the study of a flat metamaterial lens. Particular interest is given to the interaction of electromagnetic waves with metamaterials in the structure of the lens Pendry. Using the new approach of the Wave Concept Iterative Process (WCIP) based on the auxiliary sources helps to visualize the behavior of the electric field in the metamaterial band and outside of its interfaces. The simulation results show an amplification of evanescent waves in the metamaterials with an index of n = −1, which corresponds to a resonance phenomenon to which the attenuation solution is canceled, leaving only the actual growth of these waves. This amplification permits the reconstruction of the image of the source with a higher resolution.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Metamaterial-Based Flat Lens: Wave Concept Iterative Process Approach

Azizi¹,

Baudrand²,

Latrach³

et al. 2017

PIER C

Self Cite

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“…Y + and Z + are the transpose of the complex conjugate of vectors Y and Z (10) in an orthonormal base. The developed equations are cited in [22] …”

Section: The Basic Theory Of the Wcip Methodsmentioning

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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“…These two parameters are positive for conventional RH mediums [23,24], which leads to a positive refractive index. Yet, they are both negative for meta-material mediums (LHM) [25,26], which gives a negative refractive index. Thus, the wave propagation through the interface between mediums with different permittivity and permeability values should follow the Snell's law of refraction in Eq.…”

Section: Principle Of Negative Refraction By the Interfacing Between mentioning

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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Almost Periodic Lumped Elements Structure Modeling Using Iterative Method: Application to Photonic Jets and Planar Lenses

Cited by 8 publications

References 21 publications

Metamaterial-Based Flat Lens: Wave Concept Iterative Process Approach

Metamaterial-Based Flat Lens: Wave Concept Iterative Process Approach

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

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

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