In electromagnetic multisphere-scattering calculations the reexpansion
method for seeking a single-field representation of the total scatter
ed field is found impracticable because of severe numerical problems.
We present a simple single-field expansion of the total scattered far
field based on an asymptotic form of vector translational addition the
orems. With this asymptotic expansion of the far field, we derive anal
ytical expressions for the scattering properties of an arbitrary aggre
gate of spheres. Resulting formulas are free from numerical problems i
n practical applications. Theoretical predictions from this far-field
solution for various aggregates of spheres that we tested agree favora
bly with laboratory microwave scattering measurements. Some numerical
results are presented and compared with experimental data. (C) 1997 Op
tical Society of America.