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Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism pp 19–71Cite as

Multiscale models of electromagnetic and plasmonic metamaterials

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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 547))

Abstract

In this chapter, we discuss paradigms central to electromagnetic metamaterials and their plasmonic counterparts. We start with a slab lens with unlimited resolution, which is made possible using the concept of negative refraction, when the permittivity and permeability of a medium change sign simultaneously. Pendry’s perfect lens heavily relies upon existence of surface plasmons that exist on its boundaries. Correspondences with acoustics are then investigated in light of spring-mass models which bridge the field of electromagnetic and acoustic metamaterials, which are composites within which light or other (e.g. elastic, liquid surface) waves experience inverted Snell-Descartes laws of refraction upon resonance of micro-scale resonators. Next, we explain how geometric transforms introduced for computational easiness in helicoidal fibres, were given a twist by Pendry’s team in 2006 in order to design invisibility cloaks. Finally, we apply these mathematical tools to the control of surface plasmons propagating at structured metal-dielectric interfaces. We illustrate transformational plasmonics with a broadband plasmonic invisibility carpet which has been experimentally validated by Quidant’s group in 2010 at near infrared frequencies.

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Authors and Affiliations

  1. Institut Fresnel, UMR CNRS 7149, Aix-Marseille Université, Aix-Marseille, France

    Sébastien Guenneau

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  1. Sébastien Guenneau
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  1. Imperial College London, London, UK

    Richard V. Craster

  2. Keele University, Keele, UK

    Julius Kaplunov

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Guenneau, S. (2013). Multiscale models of electromagnetic and plasmonic metamaterials. In: Craster, R.V., Kaplunov, J. (eds) Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism. CISM International Centre for Mechanical Sciences, vol 547. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1619-7_2

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