Abstract
The coupling of doubly split ring resonators in the GHz range has been experimentally, analytically, and numerically studied in order to design a metamaterial with dominant electrical coupling as a model of nanoscale metamaterials. An example of propagation of GHz electroinductive waves in a metamaterial is demonstrated.
Similar content being viewed by others
References
E. Shamonina, “Slow Waves in Magnetic Metamaterials: History, Fundamentals and Applications,” Phys. Status Solidi B. 245(8), 1471 (2008).
O. D. Vol’yan and A. I. Kuz’michev, Negative Refraction ofWaves: Introduction into Physics and Technology of Electromagnetic Metamaterials (Avers, Moscow, 2012) [in Russian].
F. Bilotti and L. Sevgi, “Metamaterials: Definitions, Properties, Applications, and FDTD-Based Modeling and Simulation,” Int. J. RF Microwave Computer-Aided Eng. 22(4), 422 (2012).
A. Radkovskaya, M. Shamonin, C. J. Stevens, G. Faulkner, D. J. Edwards, E. Shamonina, L. Solymar, “Resonant Frequencies of a Combination of Split Rings: Experimental, Analytical and Numerical Study,” Microw. Opt. Tech. Lett. 46(5), 473 (2005).
L. Solymar and E. Shamonina, Waves in Metamaterials (Oxford University Press, Oxford, 2009).
E. Shamonina, V. A. Kalinin, K. H. Ringhofer, and L. Solymar, “Magneto-Inductive Waveguide,” Electron. Lett. 38(8), 371 (2002).
E. Shamonina, “Magnetoinductive Polaritons: Hybrid Modes of Metamaterials with Interelement Coupling,” Phys. Rev. B. 85(15), 155146 (2012).
A. Radkovskaya, E. Tatartschuk, O. Sydoruk, E. Shamonina, C. J. Stevens, D. J. Edwards, and L. Solymar, “Surface Waves at an Interface of Two Metamaterial Structures with Interelement Coupling,” Phys. Rev. B. 82(4), 045430 (2010).
E. Tatartschuk, A. Radkovskaya, E. Shamonina, and L. Solymar, “Generalized Brillouin Diagrams for Evanescent Waves in Metamaterials with Interelement Coupling,” Phys. Rev. B. 81(11), 115110 (2010).
O. Sydoruk, O. Zhuromskyy, E. Shamonina, and L. Solymar, “Phonon-Like Dispersion Curves of Magnetoinductive Waves,” Appl. Phys. Lett. 87(7), 072501 (2005).
A. A. Radkovskaya, V. N. Prudnikov, O. A. Kotelnikova, G. S. Palvanova, V. V. Prokopjeva, A. S. Andreenko, P. N. Zakharov, A. F. Korolev, and A. P. Sukhorukov, “Experimental Study of Phonon-Like Dispersion in Biatomic Magnetic Metamaterials in the MHz Range,” Bull. Russ. Acad. Sci. Phys. 78(2), 136 (2014).
A. Radkovskaya, O. Sydoruk, M. Shamonin, E. Shamonina, C. J. Stevens, G. Faulkner, D. J. Edwards, and L. Solymar, “Experimental Study of a Bi-Periodic Magnetoinductive Waveguide: Comparison with Theory,” IET Microwaves, Antennas & Propagation. 1(1), 80 (2007).
F. Hesmer, E. Tatartschuk, O. Zhuromskyy, A. Radkovskaya, M. Shamonin, T. Hao, C. J. Stevens, G. Faulkner, D. J. Edwards, and E. Shamonina, “Coupling Mechanisms for Split Ring Resonators: Theory and Experiment,” Phys. Status Solidi B. 244(4), 1170 (2007).
A. A. Radkovskaya, V. N. Prudnikov, O. A. Kotel’nikova, and A. P. Sukhorukov, “Waves in Magnetic Metamaterials with Strong Coupling of Elements,” Phys. Wave Phenom. 21(1), 41 (2013) [DOI: 10.3103/S1541308X13010081].
A. Radkovskaya, M. Shamonin, C. J. Stevens, G. Faulkner, D. J. Edwards, E. Shamonina, and L. Solymar, “An Experimental Study of the Properties of Magnetoinductive Waves in the Presence of Retardation,” J. Magn. Magn. Mater. 300(1), 29 (2006).
E. Tatartschuk, N. Gneiding, F. Hesmer, A. Radkovskaya, and E. Shamonina, “Mapping Inter-Element Coupling in Metamaterials: Scaling Down to Infrared,” J. Appl. Phys. 111(9), 094904 (2012).
A. A. Radkovskaya, G. S. Pal’vanova, E. I. Lebedeva, V. N. Prudnikov, O. A. Kotel’nikova, P. N. Zakharov, A. F. Korolev, and A. P. Sukhorukov, “Experimental Study of the Orientation Anisotropy of Interaction Between Meta-Atoms in Discrete Magnetic Metamaterials in the GHz Range,” Bull. Russ. Acad. Sci. Phys. 77(12), 1401 (2013).
A. Radkovskaya, O. Sydoruk, E. Tatartschuk, N. Gneiding, C. J. Stevens, D. J. Edwards, and E. Shamonina, “Dimer and Polymer Metamaterials with Alternating Electric and Magnetic Coupling,” Phys. Rev. B. 84(12), 125121 (2011).
A. Radkovskaya, O. Sydoruk, E. Tatartschuk, N. Gneiding, C. J. Stevens, D. J. Edwards, and E. Shamonina, “Dimer and Polymer Metamaterials with Both Electric and Magnetic Coupling,” in Proceedings of the 5th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (Metamaterials’2011) (Barcelona, Spain, 2011), p. 751.
P. Petrov, A. Radkovskaya, and E. Shamonina, “Retrieval of Electric and Magnetic Coupling Coefficients,” in Proceedings of the 9th International Congress on Advanced ElectromagneticMaterials in Microwaves and Optics (Metamaterials’2015) (Oxford, Great Britain, 2015), p. 259.
A. Radkovskaya, L. Li, E. Edwards, D. J. Edwards, E. Shamonina, and L. Solymar, “Near-Field Superdirectivity for Coupled Dimers ofMeta-Atoms,” in Proceedings of the 8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (Metamaterials’2014) (Copenhagen, Denmark, 2014), p. 271.
M. W. Klein, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Single-Slit Split-Ring Resonators at Optical Frequencies: Limits of Size Scaling,” Opt. Lett. 31(9), 1259 (2006).
A. Radkovskaya and E. Shamonina, “Band Structures of Mono-and Diatomic Metamaterials with Inter-Element Coupling,” Proceedings of the 7th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (Metamaterials’2013) (Bordeaux, France, 2013), p. 79.
V. Delgado, O. Sydoruk, E. Tatartchuk, R. Marques, M. J. Freire, and L. Jelinek, “Analytical Circuit Model for Split Ring Resonators in the Far Infrared and Optical Frequency Range,” Metamaterials. 3(2), 57 (2009).
S. V. Kiryushechkina, “Study of the Coupling between Elements of Magnetic Metamaterials with Dominant Electric Coupling in the GHz Range,” in Proceedings of the 33rd International Science Conference of Students, Postgraduates, and Young Scientists “Lomonosov-2016” (Faculty of Physics, Moscow State University, Moscow, 2016), p. 210 [in Russian].
O. Zhuromskyy, E. Shamonina, and L. Solymar, “2D Metamaterials with Hexagonal Structure: Spatial Resonances and Near Field Imaging,” Opt. Exp. 13(23), 9299 (2005).
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Kiriushechkina, S.V., Kotel’nikova, O.A. & Radkovskaya, A.A. Peculiarities of propagation of electroinductive waves in magnetic metamaterials. Phys. Wave Phen. 25, 101–106 (2017). https://doi.org/10.3103/S1541308X17020042
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1541308X17020042