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Matematicheskoe modelirovanie, 2019, Volume 31, Number 5, Pages 85–102
DOI: https://doi.org/10.1134/S023408791905006X (Mi mm4074) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical model of fluorescence processes accounting for the quantum effect of non-local screening

Yu. A. Eremina, A. G. Sveshnikovb

a Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (546 kB) Citations (3)
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DOI: https://doi.org/10.1134/S023408791905006X
Abstract: On the basis of the Discrete Sources Method, a mathematical model has been developed that enables to consider the fluorescence process in the presence of a plasmonic structure accounting for the nonlocal screening effect. It has been shown that the fluorescence quantum yield can be represented analytically. The influence of the effect on the quantum yield and the enhancement factor of fluorescence were investigated depending on the geometry of the plasmonic structure. It has been demonstrated that accounting for the non-local screening effect leads to a blue shift in the position of the maximum and a decrease in the amplitude of a fluorescence enhancement factor.
Keywords: discrete sources method, light scattering, fluorescence, plasmon resonance, non-local screening effect, quantum yield, fluorescence enhancement factor.
Received: 10.09.2018
Revised: 10.09.2018
Accepted: 22.10.2018
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 6, Pages 1041–1051
DOI: https://doi.org/10.1134/S2070048219060036
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. A. Eremin, A. G. Sveshnikov, “Mathematical model of fluorescence processes accounting for the quantum effect of non-local screening”, Mat. Model., 31:5 (2019), 85–102; Math. Models Comput. Simul., 11:6 (2019), 1041–1051
Citation in format AMSBIB
\Bibitem{EreSve19}
\by Yu.~A.~Eremin, A.~G.~Sveshnikov
\paper Mathematical model of fluorescence processes accounting for the quantum effect of non-local screening
\jour Mat. Model.
\yr 2019
\vol 31
\issue 5
\pages 85--102
\mathnet{http://mi.mathnet.ru/mm4074}
\crossref{https://doi.org/10.1134/S023408791905006X}
\elib{https://elibrary.ru/item.asp?id=37298184}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 6
\pages 1041--1051
\crossref{https://doi.org/10.1134/S2070048219060036}
Linking options:
  • https://www.mathnet.ru/eng/mm4074
  • https://www.mathnet.ru/eng/mm/v31/i5/p85
    • This publication is cited in the following 3 articles:
    1. Yu. A. Eremin, “Mathematical Models of Diffraction Problems Based on the Discrete Source Method”, J. Commun. Technol. Electron., 68:S3 (2023), S321  crossref
    2. Yu. A. Eremin, V. V. Lopushenko, “Universal Extinction Formula for the System of Maxwell Equations under Local Excitation”, Diff Equat, 58:12 (2022), 1680  crossref
    3. Yu. A. Eremin, T. Wriedt, “Generalization of the optical theorem to an arbitrary multipole excitation of a particle near a transparent substrate”, Mathematics, 9:24 (2021), 3244  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:71
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