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Interactions between elementary excitations are of great interest from afundamental aspect and for novel applications. While plasmon-exciton have beenextensively studied, the interaction mechanisms between acoustic vibrations(phonons) and localized surface plasmons (LSPs) remain quite unexplored. Here,we present a new theoretical framework for the investigation of the interactionbetween confined acoustic vibrations and LSPs involved in resonant acousticRaman scattering. We express the Raman scattering process in the framework ofFermi's golden rule and introduce the concept of Raman energy density (RED).Similarly to the Raman-Brillouin electronic density (RBED) introduced forsemiconductors, this physical quantity is used as a theoretical tool for theinterpretation of resonant Raman scattering mediated by LSPs in metallicnanoparticles. The RED represents the electromagnetic energy density excited inthe Raman scattering process and modulated by the acoustic vibrations of thenanoparticle. We show that, similarly to the LDOS and the RBED, the RED can bemapped in the near-field region, and provides a clear picture of theinteraction between LSPs and acoustic vibrations giving rise to inelasticscattering measurable in the far-field. We use the newly introduced RED conceptto investigate elastic (an)isotropy effects and extract the Raman selectionrules of spherical nanoparticles embedded in a dielectric environment.

Raman Energy Density (RED) in the Context of Acousto-Plasmonics