Abstract
A novel metamaterial (MM) to guide surface plasmon polariton (SPP) is considered. Specific example of three-layered nanostructured MM and its dispersion engineering are studied in details allowing the development of new devices. Herein we deal with the general original concept of MMs based on inclusions of the additional layers as with a promising class of materials. The metal material stands for as the limiting factor of the frequency range that SPP mode exists. It is worthwhile noting that the SPP mode at high frequency is characterized by extremely large loss. The former restriction causes serious limitations for the potential applications of SPP in the field of optical interconnection, active SPP devices and so on. The surface mode guided by dielectric/graphene/dielectric multilayers MM has been studied based on the theory of electromagnetic field aiming to extend the frequency range of SPP mode. It is demonstrated that surface mode could be supported by the MM. Moreover, the frequency range to where conventional metal SPP cannot exist is extended. Herein, it is concluded that, the MM guided SPP mode can potentially be used to enhance the plasmonic performance over traditional metal one by varying the structure parameters.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
W.L. Barnes, A. Dereux, T.W. Ebbesen, Surface plasmon subwavelength optics. Nature 424, 824–830 (2003)
P. Ginzburg, D. Arbel, M. Orenstein, Gap plasmon polariton structure for very efficient microscale-tonanoscale interfacing. Opt. Lett. 31, 3288–3290 (2006)
P. Ginzburg, M. Orenstein, Plasmonic transmission lines: from micro to nano scale with λ/4 impedance matching. Opt. Express 15, 6762–6767 (2007)
E. Feigenbaum, M. Orenstein, Optical 3D cavity modes below the diffraction-limit using slow-wave surfaceplasmon-polaritons. Opt. Express 15, 2607–2612 (2007)
H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, Vol. 111 of Springer Tracts in Modern Physics (Springer, Berlin, 1988)
J.J. Burke, G.I. Stegeman, T. Tamir, Surface-polariton-like waves guided by thin, lossy metal films. Phys. Rev. B 33, 5186 (1986)
K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A.A. Firsov, Electric field effect in atomically thin carbon films. Science 306, 666–669 (2004)
K.I. Bolotin, K.J. Sikes, Z. Jiang, M. Klima, G. Fudenberg, J. Hone, P. Kim, H.L. Stormer, Ultrahigh electron mobility in suspended graphene. Solid State Commun. 146, 351–355 (2008)
T. Low, P. Avouris, Graphene plasmonics for terahertz to mid-Infrared applications. ACS Nano 8, 1086–1101 (2014)
J. Li, Y. Zhou, B. Quan, X. Pan, X. Xu, Z. Ren, F. Hu, H. Fan, M. Qi, J. Bai, Graphene–metamaterial hybridization for enhanced terahertz response. Carbon 78, 102–112 (2014)
Y.X. Zhou, X.L. Xu, H.M. Fan, Z.Y. Ren, J.T. Bai, L. Wang, Phys. Chem. Chem. Phys. 15, 5084–5090 (2013)
N. Papasimakis, S. Thongrattanasiri, N.I. Zheludev, F.J. García de Abajo, The magnetic response of graphene split-ring metamaterials. Light: Sci. Appl. 2, 78 (2013)
Y. Fan, Z. Wei, Z. Zhang, H. Li, Enhancing infrared extinction and absorption in a monolayer graphene sheet by harvesting the electric dipolar mode of split ring resonators. Opt. Lett. 38, 5410–5413 (2013)
L.A. Falkovsky, Optical properties of graphene. J. Phys: Conf. Ser. 129, 012004 (2008)
G.W. Hanson, Dyadic Green’s functions and guided surface waves for a surface conductivity model of graphene. J. Appl. Phys. 103(6), 064302 (2008)
A. Vakil, N. Engheta, Transformation optics using graphene. Science 332(6035), 1291–1294 (2011)
M.G. Cattom, D.R. Tilley, Introduction to surface and superlattice excitations (IOP Publishing, Bristol, 2005). (Ch. 8–9)
R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, H.-T. Wang, Hybridized surface plasmon polaritons at an interface between a metal and a uniaxial crystal. Appl. Phys. Lett. 92, 141115 (2008)
J.A. Sorni, M. Naserpour, C.J. Zapata-Rodriguez, J.J. Miret, Dyakonov surface waves in lossy metamaterials. Opt. Commun. 355, 251 (2015)
O. Takayama, D. Artigas, L. Torner, Practical dyakonons. Opt. Lett. 37, 4311 (2012)
A.A. Orlov, P.M. Voroshilov, P.A. Belov, Y.S. Kivshar, Engineered optical nonlocality in nanostructured metamaterials. Phys. Rev. B 84, 045424 (2011)
Y.-L. Zhang, Q. Zhang, X.-Z. Wang, Extraordinary surface polaritons in obliquely truncated dielectric/metal metamaterials. J. Opt. Soc. Am. B 33, 543 (2016)
I. Iorsh, A. Orlov, P. Belov, Y. Kivshar, Interface modes in nanostructured metal-dielectric metamaterials. Appl. Phys. Lett. 99(15), 151914 (2011)
S.A. Maier, H.A. Atwater, Plasmonics: localization and guiding of electromagnetic energy in metal/dielectric structures. J. Appl. Phys. 98, 011101 (2005). https://doi.org/10.1063/1.1951057
A.V. Zayats, I.I. Smolyaninov, A.A. Maradudin, Nano-optics of surface plasmon polaritons. Phys. Rep. 408(3–4), 131–314 (2005). https://doi.org/10.1016/j.physrep.2004.11.001
J. Kim, V.P. Drachev, Z. Jacob, G.V. Naik, A. Boltasseva, E.E. Narimanov, V.M. Shalaev, Improving the radiative decay rate for dye molecules with hyperbolic metamaterials. Opt. Express 20(7), 8100–8116 (2012)
N. Engheta, Pursuing near-zero response. Science 340, 286–287 (2013)
T. Gric, O. Hess, Tunable surface waves at the interface separating different graphene–dielectric composite hyperbolic metamaterials. Opt. Express 25, 11466–11476 (2017)
J.A. Dionne, L.A. Sweatlock, H.A. Atwater, A. Polman, Planar metal plasmon waveguides: frequency-dependent dispersion, propagation, localization, and loss beyond the free electron model. Phys. Rev. B 72(7), 075405 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Trofimov, A., Gric, T. & Hess, O. Three-layered nanostructured metamaterials for surface plasmon polariton guiding. J Math Chem 57, 190–201 (2019). https://doi.org/10.1007/s10910-018-0943-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10910-018-0943-0