Transmission line metamaterials based on pairs of coupled split ring resonators (SRRs) and complementary split ring resonators (CSRR): A comparison to the light of the lumped element equivalent circuits

This paper analyzes and compares two types of transmission line metamaterials: (i) coplanar waveguide (CPW) transmission lines loaded with pairs of magnetically coupled split ring resonators (SRRs), and (ii) microstrip lines loaded with pairs of electrically coupled complementary split ring resonators (CSRRs). Both structures are described by lumped element equivalent circuit models rather different. However, both structures exhibit very similar phenomenology, and there is a mapping between the elements of both models that gives identical results for the analytical expressions providing the resonance frequencies (transmission zeros) that these lines exhibit. It is shown that these artificial lines are useful as dual-notched filters and as differential sensors and comparators.

[1]  T. Itoh,et al.  Novel microwave devices and structures based on the transmission line approach of meta-materials , 2003, IEEE MTT-S International Microwave Symposium Digest, 2003.

[2]  Mario Sorolla,et al.  Metamaterials with Negative Parameters: Theory, Design, and Microwave Applications , 2013 .

[3]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[4]  Javier Mata-Contreras,et al.  Modeling and Applications of Metamaterial Transmission Lines Loaded With Pairs of Coupled Complementary Split-Ring Resonators (CSRRs) , 2016, IEEE Antennas and Wireless Propagation Letters.

[5]  J. Bonache,et al.  Characterization of miniaturized metamaterial resonators coupled to planar transmission lines through parameter extraction , 2008 .

[6]  F. Martín,et al.  Effects of inter-resonator coupling in split ring resonator loaded metamaterial transmission lines , 2014 .

[7]  K. Balmain,et al.  Negative Refraction Metamaterials: Fundamental Principles and Applications , 2005 .

[8]  J. Bonache,et al.  Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines , 2005, IEEE Transactions on Microwave Theory and Techniques.

[9]  J. Bonache,et al.  Split ring resonator-based left-handed coplanar waveguide , 2003 .

[10]  F. Medina,et al.  Multimode Propagation and Complex Waves in CSRR-Based Transmission-Line Metamaterials , 2012, IEEE Antennas and Wireless Propagation Letters.

[11]  Javier Mata-Contreras,et al.  Modeling Metamaterial Transmission Lines Loaded With Pairs of Coupled Split-Ring Resonators , 2015, IEEE Antennas and Wireless Propagation Letters.

[12]  Ferran Martin,et al.  Modeling Split-Ring Resonator (SRR) and Complementary Split-Ring Resonator (CSRR) Loaded Transmission Lines Exhibiting Cross-Polarization Effects , 2013, IEEE Antennas and Wireless Propagation Letters.

[13]  Tatsuo Itoh,et al.  Electromagnetic metamaterials : transmission line theory and microwave applications : the engineering approach , 2005 .

[14]  Ferran Martín,et al.  Artificial Transmission Lines for RF and Microwave Applications: Martín/Artificial Transmission Lines for RF and Microwave Applications , 2015 .

[15]  F. Martín,et al.  Effective negative-/spl epsiv/ stopband microstrip lines based on complementary split ring resonators , 2004, IEEE Microwave and Wireless Components Letters.