Abstract

The Rayleigh-Gans approximation theory is applied to the problem of scattering by two neighboring spherical particles. For simplicity, we have examined in detail the case of two identical uniform spheres. Differential intensities for any arbitrary location of the particle pair relative to the incident wave, mean intensities, and mean scattering cross sections for randomly oriented particles are considered. The results show good agreement with the exact theory. Some numerical results are presented for the particular case of touching spheres (dumbbells), which are either at random, or are at specific, orientation relative to the direction of polarization of the incident wave. It is observed that for small spheres at random orientation, the scattering cross section is four times the value for that of a single sphere. This factor is two for large particles. We also observe that both the intensity and dissymmetry patterns for two spheres are totally different from the single particle ones.

© 1970 Optical Society of America

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