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Nonlinear Metamaterials

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Emerging Frontiers in Nonlinear Science

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 32))

Abstract

Metamaterials are engineered structures designed to exhibit exotic electromagnetic properties. Early on in the development of metamaterials, these properties were extended to exotic regimes of nonlinear behaviour, unknown in classical nonlinear optics. In this chapter, we give a historical overview of metamaterials, considering first their exotic linear properties, and show how these give rise to exotic nonlinear properties, at frequency ranges from RF to visible. We overview the main attractive features of metamaterials for nonlinear applications, namely their strong local field enhancement, their ability to achieve exotic phase matching conditions, and the possibility to create inclusions with the correct symmetry to enhance a chosen nonlinear process. We then summarise the two most important classes of nonlinear optical metamaterials, plasmonic and all-dielectric.

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Acknowledgements

This work was supported by the Australian Research Council and UNSW Scientia Fellowship.

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Authors and Affiliations

  1. School of Engineering and Information Technology, University of New South Wales, Canberra, ACT, 2600, Australia

    Lei Xu, David A. Powell & Andrey E. Miroshnichenko

  2. Research School of Physics, Nonlinear Physics Centre, The Australian National University, Canberra, ACT, 2601, Australia

    Mohsen Rahmani

  3. Advanced Optics and Photonics Laboratory, Department of Engineering, Nottingham Trent University, Nottingham, NG11 8NS, UK

    Mohsen Rahmani

  4. Research School of Physics, ARC Centre of Excellence for Transformative Meta-Optical Systems (TMOS), The Australian National University, Canberra, ACT, 2601, Australia

    Dragomir Neshev

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  1. Lei Xu
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    Panayotis G. Kevrekidis

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  3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA

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Xu, L., Rahmani, M., Powell, D.A., Neshev, D., Miroshnichenko, A.E. (2020). Nonlinear Metamaterials. In: Kevrekidis, P., Cuevas-Maraver, J., Saxena, A. (eds) Emerging Frontiers in Nonlinear Science. Nonlinear Systems and Complexity, vol 32. Springer, Cham. https://doi.org/10.1007/978-3-030-44992-6_3

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