Multilayer graphene waveguides
D. A. Smirnova+, I. V. Iorsh*, I. V. Shadrivov+, Y. S. Kivshar+*
+Nonlinear Physics Center, Research School of Physics and Engineering, Australian National University,
Canberra ACT 0200, Australia
* St. Peterburg National Research University of Information Technologies, Mechanics and Optics,
197101 St. Petersburg, Russia
We study dispersion properties of TM-polarized electromagnetic
waves guided by a multilayer graphene metamaterial. We demonstrate that both
dispersion and localization of the guided modes can be efficiently controlled
by changing the number of layers in the structure. Remarkably, we find that
in the long wavelength limit, the dispersion of the fundamental mode of the
N-layer graphene structure coincides with the dispersion of a plasmon mode
supported by a single graphene layer, but with N times larger conductivity.
We also compare our exact dispersion relations with the results provided by
the effective media model.