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Bulletin of the Russian Academy of Sciences Physics

Generalized Poissonian photon distributions in single-nanoparticle fluorescence

Игорь Сергеевич Осадько

Published May 1, 2008• 0 citations
Publisher

Abstract

It is shown that the physical processes, whose probabilities are described by exponential functions and which determine the dynamics of a single nanoparticle excited by cw laser light, manifest themselves in the distribution function of fluorescence photons via integrals of Poissonian functions.
DOI
10.3103/s1062873808050341

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The method previously used by the author for the measurement and calculation of the distribution function w N(T)of fluorescence photons from a single two-level atom that is continuously excited by laser light and has a unity fluorescence quantum yield is generalized to the case of a single molecule whose fluorescence quantum yield is smaller than unity and to the case of a three-level molecule whose fluorescence is blinking. The functions w N(T) calculated for these two cases demonstrate a sub-Poissonian distribution of fluorescence photons.
An analysis of intermittent fluorescence is presented for a single molecule driven by a continuous-wave laser field. The interruptions of fluorescence are caused by transition of the molecule to a triplet state. A method previously developed to calculate photon distribution for continuous-wave fluorescence is applied to analyze photon statistics of fluorescence blinking. The probability w N (T) of counting N photons over a time interval T is derived for intermittent fluorescence. The photons counted over relatively short intervals are found to have a sub-Poissonian (narrower than Poisson) distribution. The photon distribution over intervals longer than the mean off time has a complicated form with two maxima; i.e., a super-Poissonian (wider than Poisson) distribution is obtained.