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

Sergei Zhukovsky, Andrei Andryieuski, Andrei Lavrinenko, J. E. Sipe

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


    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 metal-dielectric 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-dielectric multilayers 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.
    Original languageEnglish
    Title of host publicationProceedings of SPIE
    PublisherSPIE - International Society for Optical Engineering
    Publication date2014
    ISBN (Print)9781628410730
    Publication statusPublished - 2014
    EventMetamaterials IX - Brussels, Belgium
    Duration: 14 Apr 201417 Apr 2014


    ConferenceMetamaterials IX
    SeriesProgress in Biomedical Optics and Imaging - Proceedings of SPIE


    • Hyperbolic metamaterials,
    • Subwavelength multilayers
    • Graphene
    • Volume plasmon polaritons
    • High-k waves


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