The paper presents the results of FDTD (Finite-Difference Time-Domain) mathematical modeling of electromagnetic fields distortion near the surfaces of multilayered spherical gold nanoparticles (NPs). NPs were functionalized by two shells: water as a model substance for a drug and SiO2, as a capsuling polymer. The field values were converted into the coefficient of the effective signal for Surface-Enhanced Raman Scattering (SERS). During the simulation, parameters such as NP size, thickness of surface layers, wavelength of exciting radiation and the dependence of the effective amplification of the electromagnetic field on the thickness of the polymer and water layers were studied. The prospects of the theoretical approach of nanocomplexes for problems of theranostics have been shown. The presented approach could be applied as a basis for performing methods of controlled chemical synthesis of colloidal theranostics NPs.
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