Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T14:01:34.246Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  28 January 2018

Taieb Elbellili ,
Mohamed Karim Azizi ,
Lassaad Latrach ,
Hichem Trabelsi  and
Henri Baudrand
Taieb Elbellili*
Affiliation:
Unit of research Circuits and Electronics Systems High Frequency, Faculté des sciences, Université El Manar, Tunis, Tunisia
Mohamed Karim Azizi
Affiliation:
Unit of research Circuits and Electronics Systems High Frequency, Faculté des sciences, Université El Manar, Tunis, Tunisia
Lassaad Latrach
Affiliation:
Unit of research Circuits and Electronics Systems High Frequency, Faculté des sciences, Université El Manar, Tunis, Tunisia
Hichem Trabelsi
Affiliation:
Unit of research Circuits and Electronics Systems High Frequency, Faculté des sciences, Université El Manar, Tunis, Tunisia
Henri Baudrand
Affiliation:
Laplace Lab, Department of Electronics, Faculty ENSEEIHT, University of Toulouse, Toulouse, France
*
Author for correspondence: T. Elbellili, E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

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 periodic L–C and C–L networks. The results of simulation using the proposed method are justified theoretically.

Keywords

Electromagnetic field distributionflat lensmetamaterialsnegative refractive indexperiodic lumped circuitsWCIP
Type
Research Papers
Information
International Journal of Microwave and Wireless Technologies , Volume 10 , Special Issue 2: EuCAP 2017 , March 2018 , pp. 253 - 263
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Veselago, VG (1968) The electrodynamics of substances with simultaneously negative values of ε and μ. Soviet Physics-Uspekhi 10, 509–514.Google Scholar
2.Pendry, JB (2000) Negative refraction makes a perfect lens. Physical Review Letters 85, 3966–3969.CrossRefGoogle ScholarPubMed
3.Shelby, RA, Smith, DR and Schultz, S (2001) Experimental verification of a negative index of refraction. Science 292, 77–79.Google Scholar
4.Sanada, A, Caloz, C and Itoh, T (2004) Planar distributed structures with negative refractive index. IEEE Transactions on Microwave Theory and Techniques 52, 1252–1263.Google Scholar
5.Padilla, WJ, Basov, DN and Smith, DR (2006) Negative refractive index metamaterials. Materials Today 9, 28–35.CrossRefGoogle Scholar
6.Ozbay, E and Soukoulis, CM (2006) Observation of negative refraction and negative phase velocity in true left-handed metamaterials. Eur. Microwave Conf., Manchester, UK.Google Scholar
7.Ozbay, E, Guven, K and Aydin, K (2007) Metamaterials with negative permeability and negative refractive index: experiments and simulations. Journal of Optics A: Pure and Applied Optics 9, S301.CrossRefGoogle Scholar
8.Kishor, K, Baitha, MN, Sinha, RK and Lahiri, B (2014) Tunable negative refractive index metamaterial from V-shaped SRR structure: fabrication and characterization. JOSA B 31, 1410–1414.Google Scholar
9.Xu, HX, Wang, GM, Qing Qi, M, Lv, YY and Gao, X (2013) Metamaterial lens made of fully printed resonant-type negative-refractive-index transmission lines. Applied Physics Letters 102, 193502.CrossRefGoogle Scholar
10.Eleftheriades, GV (2007) Enabling RF/microwave devices using negative-refractive-index transmission-line (NRI-TL) metamaterials. IEEE Antennas and Propagation Magazine 49, 34–51.Google Scholar
11.Feng, Y, Teng, X, Chen, Y and Jiang, T (2005) Electromagnetic wave propagation in anisotropic metamaterials created by a set of periodic inductor-capacitor circuit networks. Physical Review B 72, 245107.Google Scholar
12.Grbic, A and Eleftheriades, GV (2003) Growing evanescent waves in negative-refractive-index transmission- line media. Applied Physics Letters 82, 1815–1817.Google Scholar
13.Caloz, C, Ahn, CH and Itoh, T. (2005) Analysis 2D finite-size metamaterials by the transmission matrix method. In Antennas and Propagation Society Int. Symp., 3, 2–5.Google Scholar
14.Ma, HF, Cui, TJ, Chin, JY and Cheng, Q (2008) Fast and accurate simulations of transmission-line metamaterials using transmission-matrix method. PMC Physics B 1, 1–10.CrossRefGoogle Scholar
15.Baudrand, H and N'gongo, RS (1999) Applications of wave concept iterative procedure. Recent Research Developments in Microwave Theory and Techniques 1, 187–197.Google Scholar
16.Titaouine, M, Neto, AG, Baudrand, H and Djahli, F (2007) Analysis of frequency selective surface on isotropic/anisotropic layers using WCIP method. ETRI journal 29, 36–44.Google Scholar
17.Hajri, J, Hrizi, H, Sboui, N and Baudrand, H (2015) Efficient study of substrate integrated waveguide devices. World Academy of Science, Engineering and Technology, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering. 9, 381–385.Google Scholar
18.Hajlaoui, EA, Trabelsi, H and Baudrand, H (2012) Periodic planar multilayered substrates analysis using wave concept iterative process. Journal of Electromagnetic Analysis and Applications 4, 118–128.Google Scholar
19.Elbellili, T, Azizi, MK, Latrach, L, Trabelsi, H, Gharsallah, A and Baudrand, H (2017) Characterization of the composite right/left-handed transmission line metamaterial circuits using iterative method WCIP. International Journal of Microwave and Wireless Technologies 9, 1645–1652.CrossRefGoogle Scholar
20.Elbellili, T, Azizi, MK, Latrach, L, Trabelsi, H, Gharsallah, A and Baudrand, H (2016) Analyzing of one dimensional quasi periodic circuit by using auxiliary sources in a WCIP method, Sciences of Electronics, Technologies of Information and Telecommunications (SETIT), Tunisia.Google Scholar
21.Azizi, MK, Baudrand, H, Latrach, L and Gharsallah, A (2017) Metamaterial-based flat lens: wave concept iterative process approach progress. Electromagnetics Research C 75, 13–21.Google Scholar
22.Azizi, MK, Baudrand, H, Elbellili, T and Gharsallah, A (2017) Almost periodic lumped elements structure modeling using iterative method: application to photonic jets and planar lenses. Progress In Electromagnetics Research M, 55, 121–132.CrossRefGoogle Scholar
23.Azizi, MK, Latrach, L, Raveu, N, Gharsallah, A and Baudrand, H (2013) A new approach of almost periodic lumped elements circuits by an iterative method using auxiliary sources. American Journal of Applied Sciences 10, 1457–1472.Google Scholar
24.Grbic, A and Eleftheriades, GV (2004) Overcoming the diffraction limit with a planar left-handed transmission-line lens. Physical Review Letters 92, 117403.Google Scholar
25.Shen, NH, Foteinopoulou, S, Kafesaki, M, Koschny, T, Ozbay, E, Economou, EN and Soukoulis, CM (2009) Compact planar far-field superlens based on anisotropic left-handed metamaterials. Physical Review B. 80, 115123.CrossRefGoogle Scholar