Molecule Non-Radiative Coupling to a Metallic Nanosphere: An Optical Theorem Treatment

The non-radiative coupling of a molecule to a metallic spherical particle is approximated by a sum involving particle quasistatic polarizabilities. We demonstrate that energy transfer from molecule to particle satisfies the optical theorem if size effects corrections are properly introduced into the quasistatic polarizabilities. We hope that this simplified model gives valuable information on the coupling mechanism between molecule and metallic nanostructures available for, e.g., surface enhanced spectroscopy signal analysis.