A Numerical Method for Solving the Diffraction Problem Described by Maxwell’s Equations with Mesoscopic Boundary Conditions

A numerical method for solving the diffraction boundary problem for the system ofMaxwell’s equations with mesoscopic boundary conditions has been developed and implemented.It is based on the discrete source method. A numerical analysis of the influence of surfacequantum effects on the optical characteristics of plasmonic nanoparticles is carried out. It hasbeen established that surface effects have a significant impact on the field characteristics, and theresults differ significantly from the case of volumetric effects.