Purcell factor for point-like dipolar emitter coupling to 2D-plasmonic waveguides

TL;DR

This paper provides a theoretical analysis of how a point dipolar emitter interacts with a 2D plasmonic waveguide, deriving a formula for the Purcell factor that accounts for both radiative and non-radiative decay channels.

Contribution

It introduces a closed-form expression for the Purcell factor in 2D plasmonic waveguides, extending the understanding of emitter-waveguide coupling.

Findings

Derived a formula linking Purcell factor to waveguide modes

Analyzed radiative and non-radiative emission contributions

Extended Purcell factor concept to 2D plasmonic structures

Abstract

We theoretically investigate the spontaneous emission of a point--like dipolar emitter located near a two--dimensional (2D) plasmonic waveguide of arbitrary form. We invoke an explicite link with the density of modes of the waveguide describing the electromagnetic channels into which the emitter can couple. We obtain a closed form expression for the coupling to propagative plasmon, extending thus the Purcell factor to plasmonic configurations. Radiative and non-radiative contributions to the spontaneous emission are also discussed in details.