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Multipole Analysis of Self-assembled Metamaterials

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Book cover Amorphous Nanophotonics

Part of the book series: Nano-Optics and Nanophotonics ((NON))

Abstract

We provide here a review on the theoretical description of the interaction of light with metamaterials fabricated by chemical self-assembling processes. Unique to the metamaterials accessible with such approaches is the amorphous arrangement of the unit-cells in space. This is in striking contrast to most of the structures previously considered, i.e. metamaterials fabricated by top-down process that usually lead to periodically arranged unit-cells. In consequence, novel concepts have to be established to describe the light interaction with their metamaterials and novel design rules have to be developed to suggest metamaterials that shall provide a desired optical response. A theoretical description based on Cartesian multipole moments is outlined in this chapter that fully satisfies these requirements. The description of the scattering response of the unit-cells is revealed as to be essential to understand amorphous metamaterials. Based on mixing rules, the propagation of light in amorphous metamaterials is properly described in terms of excited multipole moments of their unit-cells. The theoretical framework we outline here provides the methodology to discuss amorphous metamaterials and constitutes therefore an indispensable tool for the future development of optical components exploiting amorphous nanooptical materials.

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Acknowledgements

The research leading to these results has received funding from the European Union’s Seven Framework Programme (FP7/2007-2013) under Grant Agreement No. 228455-NANOGOLD (Self-organized nanomaterials for tailored optical and electrical properties). We would also like to thank especially the Federal Ministry of Education and Research that supported this work within the project PhoNa and the Thuringian State Government for support in the MeMa project.

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  1. Abbe Center of Photonics, Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany

    Stefan Mühlig & Carsten Rockstuhl

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  1. , Institut für Festkörpertheorie, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, Jena, 07743, Germany

    Carsten Rockstuhl

  2. Ecole Polytechnique Federal de Lausanne, Rue A.-L. Breguet 2, Neuchâtel, 2000, Switzerland

    Toralf Scharf

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Mühlig, S., Rockstuhl, C. (2013). Multipole Analysis of Self-assembled Metamaterials. In: Rockstuhl, C., Scharf, T. (eds) Amorphous Nanophotonics. Nano-Optics and Nanophotonics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32475-8_4

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