Discrete Models of Electromagnetic Wave Scatterers in a Frequency Range

We investigate the spatial and frequency characteristics of electromagnetic fields scattered by some object. Frequency functions that allow the expression of all elements of the object scatter matrix are introduced. The sampling theorems that are proved for the introduced functions make it possible to characterize the scatterer by a set of discrete parameters. The application of the proved theorems provides for the creation of a versatile scatterer discrete model that determines the dependence of scattered fields both on spatial coordinates and frequency. A random scatterer is considered and the conditions under which the discrete parameters are statistically independent normalized random variables are stated. The article presents the results of a random scatterer modeling.