2006
DOI: 10.1364/ol.31.000829
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Fast, flexible algorithm for calculating photon correlations

Abstract: We introduce a new algorithm for computing correlations of photon arrival time data acquired in single-molecule fluorescence spectroscopy and fluorescence correlation spectroscopy (FCS). The algorithm is based on rewriting the correlation as a counting operation on photon pairs and can be used with arbitrary bin widths and spacing. The flexibility of the algorithm is demonstrated by use of FCS simulations and single-molecule photon antibunching experiments. Execution speed is comparable to the commonly used mu… Show more

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Cited by 66 publications
(54 citation statements)
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“…The binning, histogram calculations, histogram fitting with Poissonian distributions, and autocorrelation calculations were done by using a home-developed LabView program. For the calculation of the autocorrelation functions, various bin sizes were tried, including a calculation based on the photon arrival times (40,41). No strong dependence of the results on the bin size or the use of the photon arrival times was observed (SI Appendix, SI Fig.…”
Section: Methodsmentioning
confidence: 99%
“…The binning, histogram calculations, histogram fitting with Poissonian distributions, and autocorrelation calculations were done by using a home-developed LabView program. For the calculation of the autocorrelation functions, various bin sizes were tried, including a calculation based on the photon arrival times (40,41). No strong dependence of the results on the bin size or the use of the photon arrival times was observed (SI Appendix, SI Fig.…”
Section: Methodsmentioning
confidence: 99%
“…4, together with least-squares fits to the second-order model of Sect. 2.4, including a noise density n. We also calculated the fluorescence autocorrelation function g(τ) for each trajectory [31]. These are displayed in Fig.…”
Section: Tracking Error and Fluorescence Fluctuationsmentioning
confidence: 99%
“…Due to the absence of an acceptor-specific laser excitation signal, the contribution to the acceptor signal due to direct excitation of the acceptor by the donor-excitation laser needs to be expressed as a function of the total (γ-corrected) burst size as explained in SIAppendix 9 [30,37]. The corresponding factor, dT, depends only on the dye pair and can be therefore estimated from µs-ALEX measurements (Section 3.6 and SI-Appendix 9).…”
Section: Direct Acceptor Excitation Factormentioning
confidence: 99%
“…The ACFs and CCF of the donor and acceptor channel signals upon donor excitation (photon streams DexDem and DexAem) together with the ACF of the AexAem stream (acceptor excitation, acceptor channel detection) were calculated on a multitau time scale using the recorded arrival times using published algorithms [37]. Because of µs laser alternation, the raw ACFs, ACFALEX(τ), exhibit a periodic modulation, which can be cancelled out by a simple renormalization by the alternation period histograms' ACFs (ACFPeriod(τ)):…”
Section: Single-spot µS-alex Fcsmentioning
confidence: 99%