Abstract
We present an approach for calculating the nonlinear propagation of surface plasmon polaritons in one-dimensional planar waveguides consisting of a metal slab or a semi-infinite metal bounded by linear dielectrics, starting with an assumed third-order nonlinearity that characterizes the nonlinear response of the metal. With this approach we model the self-phase-modulation of surface plasmon polaritons. Expressions relating the complex nonlinear parameter of these surface waves with the third-order nonlinear susceptibility of the metal are provided. We present and discuss results pertaining to the self-phase-modulation of the symmetric and antisymmetric surface plasmon polaritons supported by a thin gold slab in vacuum and of the surface plasmon polariton supported by the single gold-vacuum interface.
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