Abstract
We present a simple analytical expression for the full relaxation rate of the excited state of the two-level resonant emitter placed close to a metal nanoparticle with localized plasmon resonance excited by the emitter. We take into account the interaction of the emitter with all multipole polarization modes and the radiation absorption in the nanoparticle. Analytical and numerical estimations of the full relaxation rate are in good agreement. Thus, only two modes are sufficient for describing the electromagnetic interaction of the dipole emitter and the metal nanoparticle, namely, the dipole mode and the mode related to the emitter image under the nanoparticle surface. Such “two-mode” approximation can simplify the analysis of optical properties of nanoplasmonic structures. In particular, the proposed expression for the full relaxation rate is helpful in the modeling of plasmonic nanolasers.
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Fedorovich, S.V., Protsenko, I.E. Analytical Expression for the Relaxation Rate of Emitter-Near-Metal Nanoparticles. J Russ Laser Res 35, 478–483 (2014). https://doi.org/10.1007/s10946-014-9450-3
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DOI: https://doi.org/10.1007/s10946-014-9450-3