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Transmission line approach of zero-index metamaterials and applications using a wave concept iterative method

Published online by Cambridge University Press:  07 February 2019

Mohamed Karim Azizi ,
Taieb Elbellili ,
Henri Baudrand  and
Hichem Trabelsi
Mohamed Karim Azizi*
Affiliation:
Unit of Research Circuits and Electronics Systems High Frequency, Faculté des Sciences, Université El Manar, Tunis, Tunisia
Taieb Elbellili
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
Hichem Trabelsi
Affiliation:
Unit of Research Circuits and Electronics Systems High Frequency, Faculté des Sciences, Université El Manar, Tunis, Tunisia
*
Author for correspondence: Mohamed Karim Azizi, E-mail: [email protected]
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Abstract

In this paper, we propose a novel study of zero-index materials (ZIM) based on lumped element circuits using a wave concept iterative method (WCIP). This method is well used to demonstrate the behavior of zero-index-based microwave applications. This type of metamaterial can maintain the amplitude and the phase of an electromagnetic wave to be constant through the ZIM region, which is an important property to design an in-phase power divider-combiner, enhance the directivity of an embedded source, channel electromagnetic waves without reflection at the interface between waveguides with different cross-sections, and control the transmission of electromagnetic wave by the adjustment of the permittivity of a dielectric defect coated by zero-index metamaterial. The numerical simulations using the WCIP method match the literature and commercial software simulator results.

Keywords

2-D transmission line metamaterialselectromagnetic field distributionmetamaterialsWCIPzero-refractive index-metamaterials
Type
Research Papers
Information
International Journal of Microwave and Wireless Technologies , Volume 11 , Issue 3 , April 2019 , pp. 244 - 254
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2019 

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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.Google Scholar
3.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
4.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
5.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.Google Scholar
6.Grbic, A and Eleftheriades, GV (2003) Growing evanescent waves in negative-refractive-index transmission-line media. Applied Physics Letters 82, 1815–1817.Google Scholar
7.He, XT, Zhong, YN, Zhou, Y, Zhong, ZC and Dong, JW (2015) Dirac directional emission in anisotropic zero refractive index photonic crystals. Scientific Reports 5, 13085.Google Scholar
8.Ding, E, Wang, Y, Liu, X and Gong, X (2015) Waveguide splitting and squeezing in zero-index metamaterials embedded with defects. AIP Advances 5, 107222.Google Scholar
9.Silveirinha, MG and Engheta, N (2012) Sampling and squeezing electromagnetic waves through subwavelength ultranarrow regions or openings. Physical Review B 85, 085116.Google Scholar
10.Zhang, J, Luo, Y and Mortensen, NA (2010) Transmission of electromagnetic waves through sub-wavelength channels. Optics Express 18, 3864–3870.Google Scholar
11.Edwards, B, Alù, A, Young, ME, Silveirinha, M and Engheta, N (2008) Experimental verification of epsilon-near-zero metamaterial coupling and energy squeezing using a microwave waveguide. Physical Review Letters 100, 033903.Google Scholar
12.Wu, Y and Li, J (2013) Total reflection and cloaking by zero index metamaterials loaded with rectangular dielectric defects. Applied Physics Letters 102, 183105.Google Scholar
13.Xu, Y and Chen, H (2011) Total reflection and transmission by epsilon-near-zero metamaterials with defects. Applied Physics Letters 98, 113501.Google Scholar
14.Liu, R, Cheng, Q, Hand, T, Mock, JJ, Cui, TJ, Cummer, SA and Smith, DR (2008) Experimental demonstration of electromagnetic tunneling through an epsilon-near-zero metamaterial at microwave frequencies. Physical Review Letters 100, 023903.Google Scholar
15.Cheng, Q, Liu, R, Huang, D, Cui, TJ and Smith, DR (2007) Circuit verification of tunneling effect in zero permittivity medium. Applied Physics Letters 91, 234105.Google Scholar
16.Ma, HF, Shi, JH, Cai, BG and Cui, TJ (2012) Total transmission and super reflection realized by anisotropic zero-index materials. New Journal of Physics 14, 123010.Google Scholar
17.Lee, WC and Chu, TH (2015) Modeling of a planar metamaterial power divider/combiner using transmission matrix method. IEEE Microwave and Wireless Components Letters 25, 205–207.Google Scholar
18.Caloz, C, Ahn, CH and Itoh, T (2005) Analysis 2D finite-size metamaterials by the transmission matrix method. In Antennas and Propagation Society International Symposium 3, 2–5.Google Scholar
19.Siddiqui, OF and Eleftheriades, GV (2011) Study of resonance-cone propagation in truncated hyperbolic metamaterial grids using transmission-line matrix simulations. Journal of the Franklin Institute 348, 1285–1297.Google Scholar
20.Elbellili, T, Azizi, MK, Latrach, L, Trabelsi, H and Baudrand, H (2018) Modeling and analysis of metamaterial lenses based on lumped circuits by using a wave concept iterative method. International Journal of Microwave and Wireless Technologies 10, 253–263.Google Scholar
21.Elbellili, T, Azizi, MK, Latrach, L, Trabelsi, H and Baudrand, H (2018) WCIP analysis of arbitrary shaped lumped metamaterial medium using a paint interface. In International Conference on Advanced Systems and Electric Technologies (IC_ASET), Tunisia.Google Scholar
22.Elbellili, T and Azizi, MK (2017) Study of perfect imaging by coupled negative refractive index lenses using WCIP method. In Internet of Things, Embedded Systems and Communications (IINTEC), Tunisia.Google Scholar
23.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.Google Scholar
24.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
25.Elbellili, T, Azizi, MK, Latrach, L, Trabelsi, H, Gharsallah, A and Baudrand, H (2017) Analysis of planar microwave structures using transmission line-periodic lumped circuit by an iterative method WCIP. In Green Energy Conversion Systems (GECS), Tunisia.Google Scholar
26.Azizi, MK, Baudrand, H, Latrach, L and Gharsallah, A (2017) Metamaterial-Based Flat Lens: Wave Concept Iterative Process Approach. Progress in Electromagnetics Research C 75, 13–21.Google Scholar
27.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.Google Scholar
28.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
29.Fang, K, Zhang, Y, Li, F, Jiang, H, Li, Y, Wang, W and Chen, H (2012) Microwave collimation based on zero index metamaterials with Dirac point. Optics Letters 37, 4654–4656.Google Scholar
30.Eleftheriades, GV, Grbic, A and Antoniades, M (2004) Negative-refractive-index transmission-line metamaterials and enabling electromagnetic applications. In Antennas and Propagation Society International Symposium 2, 1399–1402.Google Scholar
31.Garg, R, Bahl, I and Bozzi, M (2013) Microstrip Lines and Slotlines. Boston: Artech House.Google Scholar
32.Zhai, T, Shi, J, Chen, S, Liu, D and Zhang, X (2011) Achieving laser ignition using zero index metamaterials. Optics Letters 36, 2689–2691.Google Scholar