Characterization of surface-plasmon polaritons at lossy interfaces

Abstract

We characterize surface-plasmon polaritons at lossy planar interfaces between one dispersive and one nondispersive linear isotropic homogeneous media, i.e. materials or metamaterials. Specifically, we solve Maxwell's equations to obtain strict bounds for the permittivity and permeability of these media, such that satisfying these bounds implies surface-plasmon polaritons successfully propagate at the interface, and violation of the bounds impedes propagation, i.e. the field delocalizes from the surface into the bulk. Our characterization of surface-plasmon polaritons is valuable for checking the viability of a proposed application, and, as an example, we employ our method to falsify a previous prediction that surface-plasmon propagation through a surface of a double-negative refractive index medium occurs for any permittivity and permeability; instead, we show that propagation can occur only for certain medium parameters.

All-Optical Tunable Plasmonic Biosensor Made of Graphene and Metamaterial

“…Here, we employ metamaterial at the cladding of plasmonic waveguides, as an example of media with different EM properties, to check the sensitivity of the biosensor. Metamaterial with negative permittivity and positive permeability supports TM SPPs along the structure [7]. For Fishnet metamaterials with the structural parameters specified in Sec.3, TM SPPs propagate from 0.045ω e to 0.054ω e [16].…”

“…Surfaceplasmon polariton propagation depends on EM susceptibilities of media at the interface. Changing the sign of EM susceptibilities across the interface is the required condition for SPP propagation [7].…”

“…We employ the generalized Drude-Lorentz model [7] for the EM susceptibilities of metamaterials and metal. The permittivity and permeability in this model convert to each other by applying the duality of electromagnetism [17,7]. The frequency-dependent permittivity of silicon is described with the Sellmeier equation [18].…”

Surface-polaritonic phase singularities and multimode polaritonic frequency combs via dark rogue-wave excitation in hybrid plasmonic waveguide

“…We evaluate the optical properties of this NIMM layer employing macroscopic description of the metamaterial structure and we describe the permittivity and permeability of this structure using the Drude-Lorentz model [26,73,74] with permittivity for e ¥ andm ¥ the background constant for the permittivity and permeability, respectively. The other constants are ω l the perturbation frequency, ω e andω m are the electric and magnetic plasma frequencies, and γ e andγ m are the corresponding decay rates.…”

Coherent amplification and lasing of weak surface-plasmon polaritons in a negative-index metamaterial with a resonant atomic medium

“…To characterize the optical properties of the NIMM layer, we employ macroscopic description of the permittivity (ε N ) and permeability (µ N ) following Drude-Lorentz model [57,58]. To this aim, we introduce the permittivity…”