•Gustav Mie (1908)
motivation: The colors of colloidal gold.
•Multipole expansion (EM
modes of a sphere)
–electric dipole
–magnetic dipole, electric quadrupole
–magnetic quadrupole, electric octupole
–etc.
•If d < λ/20 then only the
first term (dipole) is needed. In this
limiting case, Mie’s theory reduces
to Rayleigh’s theory
•small particle limit: Mie à Rayleigh