ABSTRACT

Spherical geometry appears to be the most important geometry,

since in a first approximation many particles may be regarded as

spherical ones. On the other hand, any electrodynamics problems

concerning spherical particles can be solved analytically by analogy

with the well-known Mie solution for plane wave diffraction

on a sphere (Mie, 1908). All that gives a special importance

and generality to investigations of optical properties of spherical

particles. In this respect, in the present chapter we will not restrict

ourselves to plasmon properties of nanoparticles but will also

introduce main analytical results concerning arbitrary spherical

particles and analyze them with reference to different applications.

A special attention will be paid to the case of excitation of spherical

particles by point sources of light (molecules and quantum dots)

since this case is of particular significance for prospective high-tech

applications of nano-optics and nanophotonics.