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Analytical modeling of antisymmetric split-ring resonators coupled with transmission line

Published online by Cambridge University Press:  25 March 2019

Vojislav Milosevic Open the ORCID record for Vojislav Milosevic [Opens in a new window] ,
Radovan Bojanic  and
Branka Jokanovic
Vojislav Milosevic*
Affiliation:
Institute of Physics, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia
Radovan Bojanic
Affiliation:
Technische Universiteit Eindhoven, P.O. Box 513, 5600 MBEindhoven
Branka Jokanovic
Affiliation:
Institute of Physics, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia
*
Author for correspondence: Vojislav Milosevic, E-mail: [email protected]
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Abstract

Coupled-mode theory is applied to obtain an analytic form of scattering parameters for a class of transmission line metamaterials with antisymmetric split-rings. The same structure is modeled with equivalent circuit, which includes electric and magnetic coupling with the line and inter-resonator coupling. Modified even/odd analysis is used to obtain scattering parameters from the equivalent circuit. These two methods are shown to be equivalent in a narrow band, and their constants related. The obtained results are compared with full-wave simulations and measurements, and it is shown that both methods give accurate approximation in one octave frequency band. The derived analytic expressions are suitable for study of resonant phenomena, with potential practical applications for filters, phase shifters, delay lines, and sensors.

Keywords

coupled-mode theoryequivalent circuitS-parameterssplit-ring resonatorcoupled oscillators
Type
Research Papers
Information
International Journal of Microwave and Wireless Technologies , Volume 11 , Issue 4 , May 2019 , pp. 359 - 367
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2019 

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References

1Smith, DR, Padilla, WJ, Vier, DC, Nemat-Nasser, SC and Schultz, S (2000) Composite medium with simultaneously negative permeability and permittivity. Physical Review Letters 84, 4184–4187.Google Scholar
2Caloz, C and Itoh, T (2005) Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications. Hoboken, New Jersey: Wiley.Google Scholar
3Alibakhshi-Kenari, M, Naser-Moghadasi, M, Ali Sadeghzadeh, R, Singh Virdee, B and Limiti, E (2016) New compact antenna based on simplified crlh-tl for uwb wireless communication systems. International Journal of RF and Microwave Computer-Aided Engineering 26, 217–225.Google Scholar
4Martin, F, Falcone, F, Bonache, J, Marques, R and Sorolla, M (2003) Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators. IEEE Microwave and Wireless Components Letters 13, 511–513.Google Scholar
5Naqui, J, Durán-Sindreu, M and Martín, F (2012) Alignment and position sensors based on split ring resonators. Sensors 12, 11790–11797. [Online]. Available: http://www.mdpi.com/1424-8220/12/9/11790.Google Scholar
6Boskovic, N, Jokanovic, B and Radovanovic, M (2017) Printed frequency scanning antenna arrays with enhanced frequency sensitivity and sidelobe suppression. IEEE Transactions on Antennas and Propagation 65, 1757–1764.Google Scholar
7Naqui, J, Fernandez-Prieto, A, Duran-Sindreu, M, Mesa, F, Martel, J, Medina, F and Martin, F (2012) Common-mode suppression in microstrip differential lines by means of complementary split ring resonators: Theory and applications. IEEE Transactions on Microwave Theory and Techniques 60, 3023–3034.Google Scholar
8Alibakhshi-Kenari, M, Naser-Moghadasi, M and Sadeghzadeh, RA (2015) Bandwidth and radiation specifications enhancement of monopole antennas loaded with split ring resonators. IET Microwaves, Antennas Propagation 9, 1487–1496.Google Scholar
9Milosevic, V, Jokanovic, B and Kolundzija, B (2010) Microwave stereometamaterials and parameter extraction. 4th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS).Google Scholar
10Naqui, J, Duran-Sindreu, M and Martin, F (2013) Modeling split-ring resonator (srr) and complementary split-ring resonator (csrr) loaded transmission lines exhibiting cross-polarization effects. IEEE Antennas and Wireless Propagation Letters 12, 178–181.Google Scholar
11Baena, JD, Bonache, J, Martin, F, Sillero, RM, Falcone, F, Lopetegi, T, Laso, MAG, Garcia-Garcia, J, Gil, I, Portillo, MF and Sorolla, M (2005) Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines. IEEE Transactions on Microwave Theory and Techniques 53, 1451–1461.Google Scholar
12Aznar, F, Bonache, J and Martín, F (2008) Improved circuit model for left-handed lines loaded with split ring resonators. Applied Physics Letters 92, 043512.Google Scholar
13Bojanic, R, Milosevic, V, Jokanovic, B, Medina-Mena, F and Mesa, F (2014) Enhanced modelling of split-ring resonators couplings in printed circuits. IEEE Transactions on Microwave Theory and Techniques 62, 1605–1615.Google Scholar
14Tassin, P, Zhang, L, Koschny, T, Economou, EN and Soukoulis, CM (2009) Low-loss metamaterials based on classical electromagnetically induced transparency. Physical Review Letters 102, 053901. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.102.053901.Google Scholar
15Milosevic, V, Jokanovic, B, Bojanic, R and Jelenkovic, B (2013) Classical electromagnetically induced transparency in metamaterials. Microwave Review 19, 76–81.Google Scholar
16Kurter, C, Tassin, P, Zhang, L, Koschny, T, Zhuravel, AP, Ustinov, AV, Anlage, SM and Soukoulis, CM (2011) Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial. Physical Review Letters 107, 043901. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.107.043901.Google Scholar
17Haus, HA and Huang, W (1991) Coupled-mode theory. IEEE Proceedings 79, 1505–1518.Google Scholar
18Fan, S, Suh, W and Joannopoulos, JD (2003) Temporal coupled-mode theory for the fano resonance in optical resonators. Journal of the Optical Society of America A 20, 569–572. [Online]. Available: http://josaa.osa.org/abstract.cfm?URI=josaa-20-3-569.Google Scholar
19Jovanovic, S, Milovanovic, B and Gmitrovic, M (2013) Theory and realization of simple bandpass filters with antiparallel configuration. Progress In Electromagnetics Research 136, 101–122.Google Scholar
20Tassin, P, Zhang, L, Zhao, R, Jain, A, Koschny, T and Soukoulis, CM (2012) Electromagnetically induced transparency and absorption in metamaterials: The radiating two-oscillator model and its experimental confirmation. Physical Review Letters 109, 187401.Google Scholar
21Haus, H (1984) Waves and Fields in Optoelectronics, ser. Prentice-Hall Series in Solid State Physical Electronics. Englewood Cliffs, New Jersey: Prentice Hall, Incorporated.Google Scholar
22Lopetegi, T, Laso, MAG, Erro, MJ, Sorolla, M and Thumm, M (2002) Analysis and design of periodic structures for microstrip lines by using the coupled mode theory. IEEE Microwave and Wireless Components Letters 12, 441–443.Google Scholar
23Fu, Q, Zhang, F, Fan, Y, Dong, J, Cai, W, Zhu, W, Chen, S and Yang, R (2017) Weak coupling between bright and dark resonators with electrical tunability and analysis based on temporal coupled-mode theory. Applied Physics Letters 110, 221905.Google Scholar
24Suh, W, Wang, Z and Fan, S (2004) Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities. IEEE Journal of Quantum Electronics 40, 1511–1518.Google Scholar
25Hong, J and Lancaster, M (2004) Microstrip Filters for RF / Microwave Applications, ser. Wiley Series in Microwave and Optical Engineering. Hoboken, New Jersey: Wiley.Google Scholar
26Djordjevic, A, Bazdar, M, Sarkar, T and Harrington, R (1999) Linpar for Windows: Matrix Parameters for Multiconductor Transmission Lines, Software and User's Manual, Version 2.0, ser. Artech House microwave library. Norwood, Massachusetts: Artech House.Google Scholar
27Lagarias, JC, Reeds, JA, Wright, MH and Wright, PE (1998) Convergence properties of the Nelder–Mead simplex method in low dimensions. SIAM Journal on Optimization 9, 112–147.Google Scholar