Dispersion relation for surface plasmon polaritons in metal/nonlinear-dielectric/metal slot waveguides

Abstract

We present the first (to our knowledge) exact dispersion relation for the transverse-magnetic surface plasmon polariton (SPP) modes of a plasmonic slot waveguide, which is formed by a nonlinear Kerr medium sandwiched between two metallic slabs. The obtained relation is then simplified to the case of small field intensities, while retaining nonlinear terms, to derive approximate dispersion equations for the symmetric and antisymmetric SPP modes.

Guided Plasmon Modes of a Graphene-Coated Kerr Slab

“…11 reduces to the dispersion relation of the SPs supported by a simple nonlinear slot waveguide. In addition, as it has been proven for a plasmonic waveguide [24,25], we recover the dispersion relation of a symmetric graphene-covered PPW with a linear core medium when α → 0.…”

“…9 of ref. [24] and, thus, Eq. 11 reduces to the dispersion relation of the SPs supported by a simple nonlinear slot waveguide.…”

“…[24,25], we derive an exact dispersion relation for the TM SPs of a symmetric slot waveguide formed by a nonlinear Kerr slab of width d and permittivity ε 1 = ε l 1 + α|E| 2 , which is sandwiched between two graphene monolayers at x = ±d/2 (see Fig. 1).…”

Design and Analysis of Nano-Structured Gratings for Conversion Efficiency Improvement in GaAs Solar Cells

“…This type of nano-grating or nano-rod structure performs as a single layer AR coating, whereas the triangular (such as, conical or perfect cone) and parabolic shaped nano-grating structures are performing as a multilayer broadband AR coating [3][4][5][6][7][8]. There are some other reports found in the literature related to improving the optical gain in solar cell systems, including surface plasmon resonance-based multilayer structures and also a new design of GaAs solar cells [9][10][11][12].…”

“…In this paper, a finite-difference time domain (FDTD) simulation tool is used to simulate the reflection losses for different types of nano-grating structures or shapes [9][10][11][16][17][18][19][20][21][22]. We have considered the following nano-grating profiles: (i) rectangular-; (ii) trapezoidal (i.e., truncated cone or hatch top)-; and (iii) triangular (i.e., conical or perfect cone)-shaped, which is used for the simulation.…”