# Mie plasmons: modes volumes, quality factors and coupling strengths (Purcell factor) to a dipolar emitter

Abstract : Using either quasi-static approximation or exact Mie expansion, we characterize the localized surface plasmons supported by a metallic spherical nanoparticle. We estimate the quality factor $Q_n$ and define the effective volume $V_n$ of the $n^{th}$ mode in a such a way that coupling strength with a neighbouring dipolar emitter is proportional to the ratio $Q_n/V_n$ (Purcell factor). The role of Joule losses, far-field scattering and mode confinement in the coupling mechanism are introduced and discussed with simple physical understanding, with particular attention paid to energy conservation.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-00660057
Contributor : Gérard Colas Des Francs <>
Submitted on : Sunday, January 15, 2012 - 3:22:45 PM
Last modification on : Tuesday, June 9, 2020 - 3:01:41 AM

### Citation

Gérard Colas Des Francs, S. Derom, Rémi Vincent, A. Bouhelier, Alain Dereux. Mie plasmons: modes volumes, quality factors and coupling strengths (Purcell factor) to a dipolar emitter. International Journal of Optics, Hindawi Publishing Corporation, 2012, 2012, pp.175162. ⟨10.1155/2012/175162⟩. ⟨hal-00660057⟩

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