Absorption and extinction spectra of fractal and nonfractal small-part
icle composites are studied. General solutions of the coupled-dipole e
quations with the exact operator for the dipole interaction (including
the near-, intermediate-, and far-zone terms) are found and compared
with those in the quasistatic approximation. Broad-scale numerical sim
ulations of optical spectra for clusters containing a large number of
particles (up to 10 000). are performed. A significant fraction of dip
olar eigenmodes in fractal aggregates is shown to be strongly localize
d. The eigenmodes cover a wide spectral region providing resonant enha
ncement in the visible and infrared parts of the spectrum. In contrast
to previous predictions, the absorption spectrum is shown to be signi
ficantly different from the spectral distribution of the density of di
pole eigenmodes. It clearly indicates the importance of symmetry prope
rties of the modes and corresponding selection rules for the absorptio
n by different modes in random fractal composites. Our experimental da
ta obtained for extinction spectra of silver colloid fractal aggregate
s are in good agreement with the results of numerical simulations.