Resonant Scattering Particles - Morphological characteristics of plasmonic and dielectric resonances on spherical and polyhedral inclusions

The presented thesis concerns the study of the single particle scattering mechanisms and the corresponding morphological dependencies, specifically targeted for light-matter control app-lications. The initial part focuses on aspects regarding the most fundamental electromagnetic scattering problem, i.e., single homogeneous sphere in the small size limit domain. The analytical solutions for the corresponding electrostatic and electrodynamic problem are implemented with emphasis to the plasmonic and dielectric resonant domains and their corresponding size-dependent dynamic mechanisms. A novel analytic methodological approach is introduced for extracting the resonant pole distribution, the maximum resonant absorption condition, and other scattering features. This part of the thesis summarize the first article trilogy (Publications I-III). Employed with the intuition that the aforementioned physical results provide, the second part of this thesis explores certain morphological aspects through theory of the superquadric surfaces. These surfaces allow the continuous deformation of a sphere towards other shapes, such as the superguadric hexahedron and octahedron, and the five regular polyhedra i.e., the Platonic solids. The required scattering quantities are numerically extracted via a surface integral equation me-thodology, and the main results are presented in the second article trilogy presented in Publications IV-VI. The main contribution of this thesis is the disclosure of a series of resonant effects and peculia-rities that can be utilized for the design of resonant nanoparticles with on-demand functionalities. The presented results can be immediately exploited by theoretical and experimental communities, either as reference and benchmarking results, or as stepping stone for further theoretical studies in the field of electromagnetic scattering.