Benjamin D. Braaten* Masud A. Aziz Mark J. Schroeder Hongxiang Li Meander Open Complementary Split Ring Resonator (MOCSRR) Particles Implemented Using Coplanar Waveguides Benjamin D. Braaten* Masud A. Aziz Mark J. Schroeder Hongxiang Li North Dakota State University: Applied Electromagnetics Lab

North Dakota State University: Applied Electromagnetics Lab Topics Introduction and Background The MOCSRR Particle Modeling the MOCSRR Particle Discussion Conclusion North Dakota State University: Applied Electromagnetics Lab

Introduction and Background The open complementary split ring resonator (OCSRR) particle [1]: [1] A. Velez, F. Aznar, J. Bonache, M. C. Valazquez-Ahumada, J. Martel and F. Martin, “Open complementary split ring resonators (OCSRRs) and their application to wideband CPW band pass filters,” IEEE Microwave and Wireless Component Letters, vol. 19, no. 4, pp. 197-199, Apr. 2009. North Dakota State University: Applied Electromagnetics Lab

Introduction and Background The OCSRR particle has been used to design small resonant antennas [2]: [2] B. D. Braaten, “A novel compact UHF RFID tag antenna designed using series connected open complementary split ring resonator (OCSRR) particle,” Accepted for publication in the IEEE Transactions on Antennas and Propagation. North Dakota State University: Applied Electromagnetics Lab

North Dakota State University: Applied Electromagnetics Lab The MOCSRR Particle The meander open complementary split ring resonator (MOCSRR) particle: North Dakota State University: Applied Electromagnetics Lab

Modeling the MOCSRR Particle CPW structure used to measure the MOCSRR particle: M = 1.0 mm, N = 3.64 mm, d = 1.27 mm Duroid 6010 North Dakota State University: Applied Electromagnetics Lab

Modeling the MOCSRR Particle Dimensions: W = 10.4 mm H = 10.4 mm p = 0.35 mm h = 6.4 mm r = 3.2 mm g = 0.6 mm t = 0.6 mm q = 0.3 mm d = 3.61 mm v = 0.6 mm s = 1.0 mm North Dakota State University: Applied Electromagnetics Lab

Modeling the MOCSRR Particle Printed MOCSRR particle: S-parameters: Leq = 9.25 nH Ceq = 5.1 pF fo = 735 MHz OCSRR Leq = 11.21 nH Ceq = 2.24 pF fo = 1.0 GHz North Dakota State University: Applied Electromagnetics Lab

Modeling the MOCSRR Particle Surface currents on the MOCSRR Particle: North Dakota State University: Applied Electromagnetics Lab

Modeling the MOCSRR Particle Properties of the MOCSRR particle for various values of r and δ : δ r Leq (nH) Ceq (pF) fo (GHz) 0.9 1.6 3.6 2.9 1.55 1.0 1.7 3.8 2.75 1.1 1.8 3.7 2.85 1.2 1.9 3.4 3.1 1.3 2.0 3.15 1.53 1.4 2.1 3.5 1.52 1.5 2.2 3.25 1.45 W = 8.2 mm H = 8.2 mm t = 0.33 mm g = 0.31mm North Dakota State University: Applied Electromagnetics Lab

Modeling the MOCSRR Particle Properties of the MOCSRR particle for various scaling values S: S Leq (nH) Ceq (pF) fo (GHz) 0.7 2.4 2.25 2.16 0.75 2.7 2.45 1.95 0.8 2.9 2.6 1.83 0.85 1.73 0.9 3.2 2.95 1.63 0.95 3.4 3.1 1.53 1.0 3.7 3.25 1.45 North Dakota State University: Applied Electromagnetics Lab

Modeling the OCSRR Particle Properties of the OCSRR particle for various values of ro: ro Leq (nH) Ceq (pF) fo (GHz) 1.0 1.5 2.95 2.39 1.2 1.4 3.0 2.37 1.6 1.8 3.25 2.35 2.0 1.7 3.05 2.2 m = 8.1 mm n = 8.3 mm h = 0.45 mm g = 0.51mm North Dakota State University: Applied Electromagnetics Lab

Modeling the OCSRR Particle Properties of the OCSRR particle for various scaling values S: S Leq (nH) Ceq (pF) fo (GHz) 0.7 1.0 2.85 2.98 0.75 1.1 2.9 2.81 0.8 1.3 2.61 0.85 3.2 2.56 0.9 1.4 3.15 2.39 0.95 3.25 2.35 1.7 3.05 2.2 North Dakota State University: Applied Electromagnetics Lab

North Dakota State University: Applied Electromagnetics Lab Discussion The MOCSRR particle has a resonant frequency lower than the OCSRR particle with the same over all dimensions: S Leq (nH) Ceq (pF) fo (GHz) (MOCSRR) 0.7 2.4 2.25 2.16 0.75 2.7 2.45 1.95 0.8 2.9 2.6 1.83 0.85 1.73 0.9 3.2 2.95 1.63 0.95 3.4 3.1 1.53 1.0 3.7 3.25 1.45 S Leq (nH) Ceq (pF) fo (GHz) (OCSRR) 0.7 1.0 2.85 2.98 0.75 1.1 2.9 2.81 0.8 1.3 2.61 0.85 3.2 2.56 0.9 1.4 3.15 2.39 0.95 3.25 2.35 1.7 3.05 2.2 North Dakota State University: Applied Electromagnetics Lab

North Dakota State University: Applied Electromagnetics Lab Discussion Designing antennas [3]: [3] B. D. Braaten and M. A. Aziz, “Using meander open complementary split ring resonator (MOCSRR) particles to design a compact UHF RFID tag antenna,” Under review for the Antennas and Wireless Propagation Letters. North Dakota State University: Applied Electromagnetics Lab

North Dakota State University: Applied Electromagnetics Lab Conclusion A new meander open complementary split ring resonator particle based on the open complementary split ring resonator particle has been presented. It has been shown that the MOCSRR particle has a lower resonant frequency than the OCSRR particle with similar over all dimensions. Also, the equivalent circuit for various OCSRR and MOCSRR particles was extracted and presented. These results showed that in certain circumstances is was possible to predict the resonant frequency of the particle. Finally, this was followed by a discussion on antenna design using the MOCSRR particles. North Dakota State University: Applied Electromagnetics Lab

Questions Thank you for listening! North Dakota State University: Applied Electromagnetics Lab