Near-zero-index nonlinear surface polaritons controlled by the surface conductivity of graphene

ABSTRACT

We study transverse magnetic polarized nonlinear surface polaritons (NLSP) propagating along the interface (a conductive layer of zero thickness) of a magnetic optically linear medium and a magnetic optically nonlinear medium with saturable permittivity. We obtained the exact solution of Maxwell’s equations for the NLSP and on this base investigated the dependences of the NLSP propagation constant on the NLSP energy flux and on the value of the dielectric permittivity at the surface of the nonlinear medium for different values of sheet conductance. The important for quantum information processing near-zero-index condition can be achieved if the products of permeability and permittivity of each medium are both negative. For both Kerr-like and saturable nonlinearities, the NLSP propagation constant trace for zero-conductivity splits into two traces for non-zero conductivity. Near the condition, the NLSP propagation constant is highly sensitive to the NLSP intensity as well as to the sheet conductance value.

KEYWORDS:

• Quantum information processing
• nonlinear surface polaritons
• zero refractive index materials
• surface conductivity
• magnetooptical metamaterials
• saturable permittivity

Disclosure statement

No potential conflict of interest was reported by the author.

Notes on contributor

Andrew D. Groza received his M.Sc. and Ph.D. degrees in nonlinear optics from the Taras Shevchenko National University of Kyiv, Kyiv, Ukraine, in 1984 and 1992, respectively. From 1992 to 2002, he was employed as a chief researcher of the Ukrainian Research Institute of Shipbuilding Technology. Since 2002, till now, he works in the University “Ukraina” as an Associate Professor. Currently, his professional interests are in the area of nonlinear plasmonics and its applications for quantum information processing.