One application of Lippman-Schwinger integral equation to scattering from an arbitrary scatterer

The Lippman-Schwinger integrodifferential equation is used to develop two new characteristics of the scattering amplitude tensor for an arbitrary scatterer. It is used to show that the plane-wave spectrum of the scattered field can be expressed in terms of the scattering amplitude tensor. It is also used to develop a nonsingular integral equation for the scattering amplitude tensor. For a very small scatterer, the solution of the scattering amplitude tensor integral equation leads to an equivalent polarizability tensor. This tensor differs from the conventional Rayleigh approximation in its frequency dependence and because it includes a radiative reaction term.<>