Abstract
Metamaterials, i.e., artificially structured (“synthetic”) media comprising weakly coupled discrete elements, exhibit extraordinary properties and they hold a great promise for novel applications including Super-Resolution imaging, cloaking, hyperlensing, and optical transformation. Nonlinearity adds a new degree of freedom for metamaterial design that allows for tunability and multistability, properties that may offer altogether new functionalities and electromagnetic characteristics. The combination of discreteness and nonlinearity may lead to intrinsic localization of the type of discrete breather in metallic, SQUID-Based, and \({\fancyscript{PT}}\)-symmetric metamaterials. We review recent results demonstrating the generic appearance of breather excitations in these systems resulting from power-balance between intrinsic losses and input power, either by proper initialization or by purely dynamical procedures. Breather properties peculiar to each particular system are identified and discussed. Recent progress in the fabrication of Low-Loss, active and superconducting metamaterials, makes the experimental observation of breathers in principle possible with the proposed dynamical procedures. Recent experimental results on dynamical phenomena due to intrinsic nonlinearities in SQUID metamaterials are briefly summarized.
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Acknowledgments
This work was partially supported by the European Union’s Seventh Framework Programme (FP7-REGPOT-2012-2013-1) under grant agreement no 316165, and by the Thales Projects ANEMOS and MACOMSYS, cofinanced by the European Union (European Social Fund ESF) and Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF) Research Funding Program: THALES. Investing in knowledge society through the European Social Fund.
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Lazarides, N., Tsironis, G.P. (2015). Nonlinear Localization in Metamaterials. In: Shadrivov, I., Lapine, M., Kivshar, Y. (eds) Nonlinear, Tunable and Active Metamaterials. Springer Series in Materials Science, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-08386-5_14
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