William A. Challener
This chapter derives the equations for the fields associated with scattering from spherical particles coated with multilayer thin films from Mie theory. Special attention is given to algorithms required to compute extremely high order Bessel functions that are required for larger particles. The absorption, scattering, and extinction cross sections are obtained as well as the far field scattered intensity pattern. Various examples for coated particles, water drops (rainbows), and small plasmonic particles are presented.