Light scattering from a particle in the shape of a Gaussian ellipsoid is studied by the method of spectral expansion in terms of Kotel’nikov–Shannon sampling functions. The basic characteristics of scattered light for such a shape and particle with hard boundaries are shown to be similar, but calculations are much simpler. Simple asymptotic expressions for indicatrices and integral cross sections for scattering, allowing features of light scattering from particles of complicated shapes to be discussed qualitatively, are obtained in addition to an exact solution. They are shown to be fundamentally different from the corresponding characteristics for a sphere; therefore, the equivalent sphere approximation commonly used has little information content.
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