Plasmon-soliton waves in planar slot waveguides. I. Modeling
- Creators
- Walasik, Wiktor
- Renversez, Gilles
- Others:
- ATHENA (ATHENA) ; Institut FRESNEL (FRESNEL) ; Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
- Erasmus Mundus Joint Doctorate Programme Europhotonics
- European Project:
Description
We present two complementary models to study stationary nonlinear solutions in one-dimensional plasmonic slot waveguides made of a finite-thickness nonlinear dielectric core surrounded by metal regions. The considered nonlinearity is of focusing Kerr type. In the first model, it is assumed that the nonlinear term depends only on the transverse component of the electric field and that the nonlinear refractive index change is small compared to the linear part of the refractive index. This first model allows us to describe analytically the field profiles in the whole waveguide using Jacobi elliptic special functions. It also provides a closed analytical formula for the nonlinear dispersion relation. In the second model, the full dependency of the Kerr nonlinearity on the electric field components is taken into account and no assumption is required on the amplitude of the nonlinear term. The disadvantage of this approach is that the field profiles must be computed numerically. Nevertheless analytical constraints are obtained to reduce the parameter space where the solutions of the nonlinear dispersion relations are sought.
Abstract
13 pages, 1 figure, see next article part II entitled "Plasmon-soliton waves in planar slot waveguides: II. Results for stationary waves and stability analysis", link: http://arxiv.org/abs/1506.08174
Abstract
International audience
Additional details
- URL
- https://auf.hal.science/hal-01269839
- URN
- urn:oai:HAL:hal-01269839v1
- Origin repository
- UNICA