STATISTICAL GENERALIZATIONS OF THE OPTICAL-CROSS-SECTION THEOREM WITHAPPLICATION TO INVERSE SCATTERING

A fundamental result of scattering theory, the so-called optical theor em, applies to situations where the field incident on the scatterer is a monochromatic plane wave and the scatterer is deterministic. We pre sent generalizations of the theorem to situations where either the inc ident field or the scatterer or both are spatially random. By using th ese generalizations we demonstrate the possibility of determining the structure of some random scatterers from the knowledge of the power ab sorbed from two plane waves incident on it. (C) 1997 Optical Society o f America.