The problem of scattering an ensemble of photons by substance particles has been considered. The vector potential of every photon which falls on the substance and is scattered by it is described by its wave packet not spreading in time and space and moving along its respective spatial straight lines.The substance particles are simulated by non-relativistic one-dimensional harmonic oscillators. It has thoroughly been analyzed how and under what specific conditions classical electromagnetic fields are synthesized from the said wave packets.It has been shown that taking into account a spatial-time localization of photons leads up to some peculiarities in kinetics of electromagnetic radiation scattering by a substance, particularly, generally speaking, to dependence of elastic and inelastic scattering cross-sections on the intensity of the radiation being scattered. Possible experiments are under consideration.