Manipulating far-zone scattered field by controlling distribution characteristics of a particulate medium

Within the validity of the first-order Born approximation and far-field approximation, the possibility for producing scattered fields with various intensity distributions is discussed. It is shown that when light waves are scattered from a collection of particles with random distribution, the intensity distribution of the scattered field can be manipulated by properly controlling the distribution characteristics of particles in the collection. To illustrate this result, three special cases of a particulate medium are discussed to produce scattered spectral density with Gaussian distributions, circular flattened distributions, and ring-like distributions, respectively.