Theory of nonlinear nanophotonics

Abstract

This thesis presents a full set of new numerical approaches for the description of nonlinear phenomena within nanostructures. Additionally, these methods are used to calculate second- and third-harmonic generations as well as the Kerr optical effect within nanostructures of different shapes. Finally, we compare the results of our method with experimental results on the generation of third harmonic within rather complex plasmonic systems, which are subject to the chiroptical effect in the first example and plasmonic dark modes hybridization in a second example.