Numerical computations were performed to study light scattering by clu
sters of up to 200 interacting spheres to better understand the struct
ure of dust particles in the Solar System, The size parameter of a clu
ster is about 13, We, however, vary several other parameters to see th
eir impact on the scattering of light, The packing density of a cluste
r varies between 0.1 and 0.2 and the size parameter of a constituent s
phere is either 1.2 or 1.9, We use the refractive indices of 1.29 and
1.57 with a small imaginary part, These indices roughly correspond to
ice and silicates, The clusters are formed either by the diffusion lim
ited aggregation process or by a random thinning of a maximally packed
cluster, All light scattering computations have been done with the di
screte-dipole approximation (DDA) which is the most flexible method fo
r complicated cluster geometries. We calculate all the 16 elements of
the scattering matrix together with efficiency factors for our model p
articles in random orientation. The first order scattering approximati
on, which includes only the electromagnetic phase correction between t
he constituent particles without any mutual interactions, explains rem
arkably well the angular dependence (including diffraction) of all the
matrix elements below the scattering angle of about 60 degrees. For l
arge scattering angles the signatures of the constituent particles are
completely washed out. (C) 1997 Academic Press.