The method of surface integral in the theory of wave scattering

Abstract

The scattering of fast charged particles and electromagnetic waves on a scatterer, localized in the space domain is considered. It is shown that the scattering amplitude can be expressed in this case as an integral over an arbitrary closed surface enclosing the scatterer. This representation enables us to express the scattering amplitude as an integral over impact parameters in general case and to develop a simple method for calculation corrections to the eikonal amplitude.