14 March 2013 Purcell factor of metallic nanoresonators
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Abstract
The spontaneous emission of a quantum emitter depends on its environment. This fundamental effect of quantum electrodynamics has become a cornerstone of nano-optics, with the objective to control light absorption and emission at the nanometer scale. At the heart of the effect lies the emitter-cavity coupling. An important figure of merit is the famous Q/V ratio introduced by Purcell in 1946 and largely used by the photonic-crystal community over the last decennia, with Q the quality factor of the cavity and V the mode volume. Here we revisit the classical problem of field coupling between quantum emitters and cavities to encompass the important case of metallic nanoresonators. We propose a generalized Purcell formula, which substantially differs from the classical one and which is capable of accurately handling cavity modes with strong radiative leakage, absorption and material dispersion. Fully-vectorial numerical calculations obtained for distinct nanocavity constructs representative of modern studies in nanophotonics provide a strong support to our theory.
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C. Sauvan, J.-P. Hugonin, I. S. Maksymov, P. Lalanne, "Purcell factor of metallic nanoresonators", Proc. SPIE 8623, Ultrafast Phenomena and Nanophotonics XVII, 86230W (14 March 2013); doi: 10.1117/12.2002954; https://doi.org/10.1117/12.2002954
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