On the influence of the dynamic diffusion coefficient with Feibelman parameter on the quantum nonlocal effect of hybrid plasmon nanoparticles

In this paper, we consider the problem of polarized light scattering by a hybrid nanoparticle consisting of a dielectric core and plasmonic gold shell. A quantum effect of nonlocality arises in the shell, which is considered in the framework of the semiclassical generalized nonlocal optical response theory (GNOR). Based on the Discrete Sources Method, a mathematical model of the GNOR theory with a dynamic diffusion coefficient is formulated and implemented. The dynamic diffusion coefficient is determined using the Feibelman quantum surface parameter. In calculations, the values of the Feibelman parameter are taken from the experimental data available. A comparative analysis of the results of the GNOR theory with constant and dynamic diffusion coefficients was performed. It has been established that the results obtained for the dynamic diffusion coefficient and for the traditional semiclassical model with a constant coefficient can differ significantly, especially when studying the behavior of fields near the surface of a hybrid particle in the frequency domain.