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Using a Probability Generating Functional for Analysis of Photon Arrival Processes in Single-Quantum Registration Systems of Fluorescence Intensity
Abstract
An expression is obtained for the probability generating functional of the photon arrival processes in fluorescence fluctuation spectroscopy systems under the assumption of an arbitrary fluorescence intensity over the observation interval. The use of generating functionals generalizes the theory of photon counting distribution analysis methods based on the application of photon counts generating functions and opens up the possibility of analyzing the systems with non-stationary intensity over the observation interval. Expressions are found for the process intensity and the probability to obtain a certain number of photocounts per observation interval. Based on the obtained expressions, a method for estimating the concentration of fluorescent molecules with an arbitrary fluorescence intensity is developed. The method is applicable for both single-photon and two-photon excitation and does not depend on the form of the brightness profile function.
About the Authors
V. V. Skakun
Belarusian State University
Belarus
Belarus
Minsk
V. V. Apanasovich
Belarusian State University
Belarus
Belarus
Minsk
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Review
For citations:
Skakun V.V., Apanasovich V.V. Using a Probability Generating Functional for Analysis of Photon Arrival Processes in Single-Quantum Registration Systems of Fluorescence Intensity. Zhurnal Prikladnoii Spektroskopii. 2025;92(2):235-245. (In Russ.)
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