Splitter/Combiner Microstrip Sections Loaded With Pairs of Complementary Split Ring Resonators (CSRRs): Modeling and Optimization for Differential Sensing Applications

This paper focuses on the analysis of splitter/ combiner microstrip sections where each branch is loaded with a complementary split ring resonator (CSRR). The distance between CSRRs is high, and hence, their coupling can be neglected. If the structure exhibits perfect symmetry with regard to the axial plane, a single transmission zero (notch) at the fundamental resonance of the CSRR, arises. Conversely, two notches (i.e., frequency splitting) appear if symmetry is disrupted, and their positions are determined not only by the characteristics of the CSRRs but also by the length of the splitter/combiner sections. A model that includes lumped elements (accounting for the CSRR-loaded line sections) and distributed components (corresponding to the transmission lines) is proposed and used to infer the position of the transmission zeros. Frequency splitting is useful for the implementation of differential sensors and comparators based on symmetry disruption. Using the model, the length of the splitter/combiner sections necessary to optimize the sensitivity of the structures as sensing elements is determined. Parameter extraction and comparison with electromagnetic simulations and measurements in several symmetric and asymmetric structures is used to validate the model. Finally, a prototype device sensor/comparator based on the proposed CSRR-loaded splitter/combiner microstrip sections is presented.

[1]  Jong-Gwan Yook,et al.  Biosensing using split-ring resonators at microwave regime , 2008 .

[2]  Ferran Martin,et al.  Angular Displacement and Velocity Sensors Based on Electric-LC (ELC) Loaded Microstrip Lines , 2014, IEEE Sensors Journal.

[3]  Ferran Martin,et al.  Dual-band epsilon-negative (ENG) transmission line metamaterials based on microstrip lines loaded with pairs of coupled complementary split ring resonators (CSRRs): Modeling, analysis and applications , 2015, 2015 9th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS).

[4]  Ferran Martín,et al.  Alignment and Position Sensors Based on Split Ring Resonators , 2012, Sensors.

[5]  R. N. Karekar,et al.  Microwave microstrip ring resonator as a paper moisture sensor: study with different grammage , 2002 .

[6]  Chin-Lung Yang,et al.  Complementary Split-Ring Resonators for Measuring Dielectric Constants and Loss Tangents , 2014, IEEE Microwave and Wireless Components Letters.

[7]  Gonul Turhan-Sayan,et al.  Multi-functional metamaterial sensor based on a broad-side coupled SRR topology with a multi-layer substrate , 2013 .

[8]  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.

[9]  John G. Webster,et al.  The Measurement, Instrumentation and Sensors Handbook , 1998 .

[10]  Javier Mata-Contreras,et al.  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 , 2015, 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA).

[11]  Margarita Puentes Vargas.  Planar Metamaterial Based Microwave Sensor Arrays for Biomedical Analysis and Treatment , 2014 .

[12]  J. Naqui,et al.  Symmetry Properties in Transmission Lines Loaded with Electrically Small Resonators , 2016 .

[13]  Derek Abbott,et al.  Two-dimensional displacement and alignment sensor based on reflection coefficients of open microstrip lines loaded with split ring resonators , 2014 .

[14]  R. Jakoby,et al.  Metamaterial Inspired Microwave Sensors , 2012, IEEE Microwave Magazine.

[15]  Ferran Martin,et al.  Transmission Lines Loaded With Bisymmetric Resonators and Their Application to Angular Displacement and Velocity Sensors , 2013, IEEE Transactions on Microwave Theory and Techniques.

[16]  D. Abbott,et al.  Displacement Sensor Based on Diamond-Shaped Tapered Split Ring Resonator , 2013, IEEE Sensors Journal.

[17]  Christian Damm,et al.  Transmission Lines Loaded With Pairs of Stepped Impedance Resonators: Modeling and Application to Differential Permittivity Measurements , 2016, IEEE Transactions on Microwave Theory and Techniques.

[18]  Derek Abbott,et al.  Rotation Sensor Based on Horn-Shaped Split Ring Resonator , 2013, IEEE Sensors Journal.

[19]  Chin-Lung Yang,et al.  Noncontact Measurement of Complex Permittivity and Thickness by Using Planar Resonators , 2016, IEEE Transactions on Microwave Theory and Techniques.

[20]  Christophe Fumeaux,et al.  Angular Displacement and Velocity Sensors Based on Coplanar Waveguides (CPWs) Loaded with S-Shaped Split Ring Resonators (S-SRR) , 2015, Sensors.

[21]  Christian M. Puttlitz,et al.  Flexible metamaterials for wireless strain sensing , 2009 .

[22]  Ferran Martín,et al.  Microwave Sensors Based on Symmetry Properties of Resonator-Loaded Transmission Lines , 2015, J. Sensors.

[23]  Christian Damm.  Artificial transmission line structures for tunable microwave components and microwave sensors , 2011 .

[24]  Christian Damm,et al.  Transmission lines loaded with pairs of magnetically coupled stepped impedance resonators (SIRs): Modeling and application to microwave sensors , 2014, 2014 IEEE MTT-S International Microwave Symposium (IMS2014).

[25]  Omar M. Ramahi,et al.  Material Characterization Using Complementary Split-Ring Resonators , 2012, IEEE Transactions on Instrumentation and Measurement.

[26]  Derek Abbott,et al.  High-Sensitivity Metamaterial-Inspired Sensor for Microfluidic Dielectric Characterization , 2014, IEEE Sensors Journal.

[27]  D. Dubuc,et al.  A Microwave and Microfluidic Planar Resonator for Efficient and Accurate Complex Permittivity Characterization of Aqueous Solutions , 2013, IEEE Transactions on Microwave Theory and Techniques.

[28]  David J. Rowe,et al.  Novel Microwave Microfluidic Sensor Using a Microstrip Split-Ring Resonator , 2014, IEEE Transactions on Microwave Theory and Techniques.

[29]  R. Jakoby,et al.  Artificial transmission lines for high sensitive microwave sensors , 2009, 2009 IEEE Sensors.

[30]  Rolf Jakoby,et al.  Sensor array based on split ring resonators for analysis of organic tissues , 2011, 2011 IEEE MTT-S International Microwave Symposium.

[31]  Martti Tiuri.  Microwave Sensor Applications in Industry , 1987, 1987 17th European Microwave Conference.

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

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

[34]  J. Fraden,et al.  Handbook of Modern Sensors: Physics, Designs, and Applications, 2nd ed. , 1998 .

[35]  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.

[36]  David D. Wentzloff,et al.  IEEE Transactions on Microwave Theory and Techniques and Antennas and Propagation Announce a Joint Special Issue on Ultra-Wideband (UWB) Technology , 2010 .

[37]  Ferran Martín,et al.  Novel Sensors Based on the Symmetry Properties of Split Ring Resonators (SRRs) , 2011, Sensors.

[38]  Derek Abbott,et al.  Two-dimensional alignment and displacement sensor based on movable broadside-coupled split ring resonators , 2014 .

[39]  I. Gil,et al.  On the electrical characteristics of complementary metamaterial resonators , 2006, IEEE Microwave and Wireless Components Letters.

[40]  Xunjun He,et al.  Thin-film sensor based tip-shaped split ring resonator metamaterial for microwave application , 2010 .

[41]  Derek Abbott,et al.  Metamaterial-based microfluidic sensor for dielectric characterization , 2013 .

[42]  N. Jokerst,et al.  Tuned permeability in terahertz split-ring resonators for devices and sensors , 2007 .

[43]  Javier Mata-Contreras,et al.  Cascaded splitter/combiner microstrip sections loaded with complementary split ring resonators (CSRRs): Modeling, analysis and applications , 2016, 2016 IEEE MTT-S International Microwave Symposium (IMS).