Method for analyzing the influence of the quantum nonlocal effect on the characteristics of a plasmonic nanolaser

Based on the discrete source method, a rigorous approach has been developed and implemented that allows one to analyze light scattering by models of resonators of plasmonic nanolaser (SPASER). This approach takes into account all features of the boundary value problem for the Maxwell system, including the interaction of the resonators with the prism surface and the nonlocal screening effect, which is treated in the framework of the generalized nonlocal optical response (GNOR) model. It is shown that a resonator model with a dielectric core and a plasmonic shell has significant advantages over a layered model with a plasmonic core. The conditions are established under which the field can be enhanced by several orders of magnitude. It is shown that taking into account the GNOR leads to a decrease in the field intensity by 50%.