Broadband Equivalent Circuit Model for a Coplanar Waveguide Line Loaded with Split Ring Resonators

A new equivalent circuit for a coplanar waveguide loaded with split ring resonators is presented. The traditional circuits that model these devices are only able to characterize the left-handed propagation band, and their response is very similar to the real one within a very limited bandwidth. In contrast, this proposed broadband equivalent circuit is able to portray not only the left-handed propagation band, but also the right-handed one that occurs at higher frequencies. Besides, the response of this kind of basic cells can be adjusted with the proposed circuit model in a bandwidth close to a decade.This work was supported by the Ministerio de Ciencia e Innovacion, Spanish Goverment, under Research Projects TEC2010-21520-C04-03 and -01, and by the Autonomous Government of Castilla-La Mancha under Research Projects PPII10-0047-0220 and PPII10-0027-1277.Sanz, V.; Belenguer Martínez, Á.; Lucas Borja, A.; Cascón López, J.; Esteban González, H.; Boria Esbert, VE. (2012). Broadband Equivalent Circuit Model for a Coplanar Waveguide Line Loaded with Split Ring Resonators. International Journal of Antennas and Propagation. 2012:1-6. https://doi.org/10.1155/2012/613518162012Baena, J. D., Bonache, J., Martin, F., Sillero, R. M., Falcone, F., Lopetegi, T., … 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(4), 1451-1461. doi:10.1109/tmtt.2005.845211Borja, A. L., Carbonell, J., Boria, V. E., & Lippens, D. (2008). Symmetrical frequency response in a split ring resonator based transmission line. Applied Physics Letters, 93(20), 203505. doi:10.1063/1.3025625Borja, A. L., Carbonell, J., Boria, V. E., & Lippens, D. (2009). Highly selective left-handed transmission line loaded with split ring resonators and wires. Applied Physics Letters, 94(14), 143503. doi:10.1063/1.3116647Martı́n, F., Bonache, J., Falcone, F., Sorolla, M., & Marqués, R. (2003). Split ring resonator-based left-handed coplanar waveguide. Applied Physics Letters, 83(22), 4652-4654. doi:10.1063/1.1631392Aznar, F., Bonache, J., & Martín, F. (2008). Improved circuit model for left-handed lines loaded with split ring resonators. Applied Physics Letters, 92(4), 043512. doi:10.1063/1.2839600Roglá, L. J., Carbonell, J., & Boria, V. E. (2007). Study of equivalent circuits for open-ring and split-ring resonators in coplanar waveguide technology. IET Microwaves, Antennas & Propagation, 1(1), 170. doi:10.1049/iet-map:20050340Borja, A. L., Carbonell, J., Boria, V. E., Cascon, J., & Lippens, D. (2010). A 2% Bandwidth C-Band Filter Using Cascaded Split Ring Resonators. IEEE Antennas and Wireless Propagation Letters, 9, 256-259. doi:10.1109/lawp.2010.2046711Gil, M., Bonache, J., Garcia-Garcia, J., Martel, J., & Martin, F. (2007). Composite Right/Left-Handed Metamaterial Transmission Lines Based on Complementary Split-Rings Resonators and Their Applications to Very Wideband and Compact Filter Design. IEEE Transactions on Microwave Theory and Techniques, 55(6), 1296-1304. doi:10.1109/tmtt.2007.897755Shamonin, M., Shamonina, E., Kalinin, V., & Solymar, L. (2004). Resonant frequencies of a split-ring resonator: Analytical solutions and numerical simulations. Microwave and Optical Technology Letters, 44(2), 133-136. doi:10.1002/mop.2056