We overview different types of nonlinear effects recently predicted for microstructured metamaterials which exhibit left-handed properties and negative refraction. We show that both magnetic and electric nonlinear response in such microstructured composites can be enhanced significantly compared to bulk media, since local electric fields in metallic microresonators may become extremely strong. We predict that nonlinear properties of metamaterials can allow for various applications, including a dynamic control and tunability of the electromagnetic properties of the composite structures, second-harmonic generation, intensity-dependent switches, and soliton generation.
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Shadrivov, I.V., Kivshar, Y.S. (2007). Nonlinear Effects in Left-Handed Metamaterials. In: Krowne, C.M., Zhang, Y. (eds) Physics of Negative Refraction and Negative Index Materials. Springer Series in Materials Science, vol 98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72132-1_12
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