Localization of the Surface Plasmon Polariton Caused by Random Roughness and its Role in Surface-Enhanced Optical Phenomena

Abstract
We show explicitly that in a certain frequency range a surface plasmon polariton (SPP) is localized parallel to the metal surface by the presence of random roughness. By use of a diagrammatic method developed earlier, a self-consistent equation is derived for the renormalized diffusion coefficient of the SPP. We interpret surface-enhanced phenomena in terms of localized SPP and obtain an expression for the enhanced intensity near the metal surface. We find important differences in the enhancement results due to localization; these are consistent with experiments.