This thesis provides a comprehensive introduction to two active research directions within the
field of plasmonics: (i) nonclassical or quantum aspects of the plasmonic response and (ii)
two-dimensional plasmonics a recent innovation in the field stimulated by the advent of
two-dimensional materials. It discusses the fundamentals of this field in detail and explores
several current research directions. Nonclassical plasmonics has been spurred on in recent
years by the tremendous technological progress in nanofabrication and optical characterization
today it is possible to investigate the plasmonic features of nanostructures with
characteristic features in the few nanometer range. The book describes and analyzes the
breakdown of the classical theory under these conditions and explores several alternatives and
extensions. The unique electronic and dimensional features of novel two-dimensional materials
such as graphene lie at the core of plasmonics' most rapidly developing subfield
two-dimensional plasmonics. This thesis provides a clear and comprehensive exposition of the
central features for interested researchers looking for an entry point to this riveting area.