  Using classical electrodynamics we determine the angular dependence of the
light intensities radiated in second and third harmonic generation by spherical
metal clusters. Forward and backward scattering is analyzed in detail. Also
resonance effects in the integrated intensities are studied. Our work treats
the case of intermediate cluster sizes. Thus it completes the scattering theory
fo spherical clusters between Rayleigh-type analysis for small spheres and
geometrical optics for spheres much larger than the wavelength for nonlinear
optics. Since the particle size sensitivity of Mie-scattering is increased by
nonlinearity, the results can be used to extract sizes of small particles from
nonlinear optics. (submitted to Phys. Rev. B)
