Study of equivalent circuits for open-ring and split-ring resonators in coplanar waveguide technology

A study of open-ring resonators and split-ring resonators is performed in terms of equivalent circuits. The resonant particles can be intrinsically described by simple LC circuits; even if their resonant behaviours are caused by conceptually different phenomena, either distributed or quasi-static resonances can be attributed for designs with similar geometrical dimensions. When inserted on the back-plane of a coplanar waveguide, and combined with short-circuiting wires on the top-plane, the periodic structures designed so far exhibit a certain pass-band where backward waves are generated. The left-handed behaviour is proved through the analysis of the phase of different length transmission lines and can be observed for both types of resonators. Full-wave simulations and experimental results performed on manufactured prototypes validate the overall good performance of the proposed equivalent circuits. Detailed models for the different elements of the unit-cells are provided on the basis of different analytical approaches.

[1]  V. Veselago.  The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .

[2]  R. Mongia.  RF and microwave coupled-line circuits , 1999 .

[3]  M. Shamonin,et al.  Resonant frequencies of a split‐ring resonator: Analytical solutions and numerical simulations , 2005 .

[4]  F. Medina,et al.  Comparative analysis of edge- and broadside- coupled split ring resonators for metamaterial design - theory and experiments , 2003 .

[5]  Electromagnetic response of the split-ring resonator placed inside a waveguide , 2005, 2005 European Microwave Conference.

[6]  G. Goussetis,et al.  Efficient modeling of novel uniplanar left-handed metamaterials , 2005, IEEE Transactions on Microwave Theory and Techniques.

[7]  Olivier J. F. Martin,et al.  Electromagnetic resonances in individual and coupled split-ring resonators , 2002 .

[8]  R. Collin.  Foundations for microwave engineering , 1966 .

[9]  Francisco Falcone,et al.  Coplanar waveguide structures loaded with split‐ring resonators , 2004 .

[10]  M. Kafesaki,et al.  Investigation of magnetic resonances for different split-ring resonator parameters and designs , 2005 .

[11]  R. Ziolkowski.  Design, fabrication, and testing of double negative metamaterials , 2003 .

[12]  Francisco Medina,et al.  Role of bianisotropy in negative permeability and left-handed metamaterials , 2002 .

[13]  S. S. Mohan,et al.  The design, modeling and optimization of on-chip inductor and transformer circuits , 1999 .

[14]  D. Lippens,et al.  Demonstration of a backward wave in a single split ring resonator and wire loaded finline , 2004, IEEE Microwave and Wireless Components Letters.

[15]  Jiasheng Hong,et al.  Couplings of microstrip square open-loop resonators for cross-coupled planar microwave filters , 1996 .

[16]  M. Kafesaki,et al.  Electric coupling to the magnetic resonance of split ring resonators , 2004 .

[17]  M. Wegener,et al.  Magnetic Response of Metamaterials at 100 Terahertz , 2004, Science.

[18]  T. Itoh,et al.  Composite right/left-handed transmission line metamaterials , 2004, IEEE Microwave Magazine.

[19]  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.

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

[21]  Jeremy Everard,et al.  High performance direct coupled bandpass filters on coplanar waveguide , 1993 .

[22]  G. Eleftheriades,et al.  Planar negative refractive index media using periodically L-C loaded transmission lines , 2002 .

[23]  George V. Eleftheriades,et al.  Periodically loaded transmission line with effective negative refractive index and negative group velocity , 2003 .

[24]  L. Solymar,et al.  Properties of a metamaterial element: Analytical solutions and numerical simulations for a singly split double ring , 2004 .

[25]  Kai Chang,et al.  Microwave Ring Circuits and Antennas , 1996 .

[26]  Tatsuo Itoh,et al.  Forward coupling phenomena between artificial left-handed transmission lines , 2002 .

[27]  V.E. Boria,et al.  Equivalent circuit representation of left-handed media in coplanar waveguide technology , 2005, 2005 European Microwave Conference.

[28]  D. Batens,et al.  Theory and Experiment , 1988 .

[29]  J. Pendry,et al.  Magnetism from conductors and enhanced nonlinear phenomena , 1999 .

[30]  F Schmidt,et al.  Magnetic metamaterials at telecommunication and visible frequencies. , 2005, Physical review letters.