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The Purcell factor $F_p$ is a key quantity in cavity quantum electrodynamics(cQED) that quantifies the coupling rate between a dipolar emitter and a cavitymode. Its simple form $F_p\propto Q/V$ unravels the possible strategies toenhance and control light-matter interaction. Practically, efficientlight-matter interaction is achieved thanks to either i) high quality factor$Q$ at the basis of cQED or ii) low modal volume $V$ at the basis ofnanophotonics and plasmonics. In the last decade, strong efforts have been doneto derive a plasmonic Purcell factor in order to transpose cQED concepts to thenanocale, in a scale-law approach. In this work, we discuss the plasmonicPurcell factor for both delocalized (SPP) and localized (LSP)surface-plasmon-polaritons and briefly summarize the expected applications fornanophotonics. On the basis of the SPP resonance shape (Lorentzian or Fanoprofile), we derive closed form expression for the coupling rate to delocalizedplasmons. The quality factor factor and modal confinement of both SPP and LSPare quantified, demonstrating their strongly subwavelength behaviour.

Plasmonic Purcell factor and coupling efficiency to surface plasmons. Implications for addressing and controlling optical nanosources