Analytical approach of the nonlinear surface plasmon at a left-handed material

Abstract

The surface wave dispersion relations of surface Plasmon at the interface of a left-handed material and a non-linear Kerr medium of arbitrary nonlinearity are derived based on a generalized first integral approach. The normalized power flow is also investigated for various values of frequency. The above study is conducted for both cases: self-focusing ( 0 α) and de-focusing ( 0 α) nonlinear Kerr coefficient.