Light scattering by suspension of monodispersive transparent spheres. I. Theory: Application of the Kotel`nikov-Shannon expansion to the analysis of scattering by a sphere

A new method is suggested for theoretical analysis of the process of light scattering by the suspension of transparent spheres. The method is based on the spectral expansion in the Kotel`nikov-Shannon choice functions. The method suggested is simple and allows one to obtain a clear physical picture for all solution stages. Despite its approximate character, the method leads to solutions that fully coincide with the results from exact computations. In addition, this method allows one to take into account the fundamental instrumental effects. The second part of this paper is devoted to this problem. 11 refs., 5 figs.