Demchuk A. Mathematical modeling of plasmon spectra of metal nanoparticles and fractal clusters.

Mathematical models and methods describing the process of light absorption and scattering by metal nanoparticles and the clusters formed from such nanoparticles are developed in the dissertation. The dipole excitation model is generalized for the case of the substrate charge influence on the extinction spectra. Developed and improved algorithms of the discrete dipole approximation (DDA) and the finite-difference time-domain (FDTD) methods implemented as computational-measurement system for calculating extinction spectra and local fields. Inverse problems are formulated and solved to determine the nanoparticles and clusters’ parameters (size, shape, distance and interaction) based on the experimental and simulated extinction spectra.