Splitting of the dispersion relation of surface plasmons on a rough self-affine fractal surface

The surface-plasmon dispersion relation for a statistically rough surface can display a splitting under specific conditions. Calculations of the dispersion-relation splitting are performed in terms of a correlation model or self-affine fractal rough surfaces with analytic form of the associated roughness spectrum, G(K) ∝ (1+aK^2ξ^2)^–1–H. The dependence of the splitting on the roughness exponent H is investigated