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Proceedings Paper

Existence conditions for bulk large-wavevector waves in metal-dielectric and graphene-dielectric multilayer hyperbolic metamaterials
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Paper Abstract

We theoretically investigate general existence conditions for broadband bulk large-wavevector (high-k) propagating waves (such as volume plasmon polaritons in hyperbolic metamaterials) in arbitrary subwavelength periodic multilayers structures. Treating the elementary excitation in the unit cell of the structure as a generalized resonance pole of reflection coefficient and using Bloch’s theorem, we derive analytical expressions for the band of large-wavevector propagating solutions. We apply our formalism to determine the high-k band existence in two important cases: the well-known metaldielectric and recently introduced graphene-dielectric stacks. We confirm that short-range surface plasmons in thin metal layers can give rise to hyperbolic metamaterial properties and demonstrate that long-range surface plasmons cannot. We also show that graphene-dielectricmultilayers tend to support high-k waves and explore the range of parameters, where this is possible, confirming the prospects of using graphene for materials with hyperbolic dispersion. The suggested formalism is applicable to a large variety of structures, such as continuous or structured microwave, terahertz (THz) and optical metamaterials, optical waveguide arrays, 2D plasmonic and acoustic metamaterials.

Paper Details

Date Published: 2 May 2014
PDF: 10 pages
Proc. SPIE 9125, Metamaterials IX, 91251M (2 May 2014); doi: 10.1117/12.2052627
Show Author Affiliations
Sergei V. Zhukovsky, DTU Fotonik (Denmark)
National Research Univ. of Information Technology (Russian Federation)
Andrei Andryieuski, DTU Fotonik (Denmark)
Andrei V. Lavrinenko, DTU Fotonik (Denmark)
J. E. Sipe, Univ. of Toronto (Canada)

Published in SPIE Proceedings Vol. 9125:
Metamaterials IX
Allan D. Boardman; Nigel P. Johnson; Kevin F. MacDonald; Ekmel Özbay, Editor(s)

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