The Mathematical Model of the Fluorescence Processes Accounting for the Quantum Effect of the Nonlocal Screening

Аннотация

Based on the discrete sources method, a mathematical model is developed that enables to analyze the fluorescence process in the presence of a plasmonic structure taking into consideration the nonlocal screening effect. It is shown that the plasmonic structure’s quantum yield can be represented analytically omitting integration procedures. The influence of the effect on the quantum yield and the fluorescence enhancement factor is investigated depending on the plasmonic structure geometry. It is demonstrated that accounting for the nonlocal screening effect leads to a shift of the maximum position towards the long-wave region and a decrease in the amplitude of the fluorescence enhancement factor.