Image reconstruction from strongly scattering objects

Methods for inverse scattering, i.e. imaging from scattered field data such as diffraction tomography, typically require that the object be weakly scattering. Under this assumption, the inversion methods based on adopting the first-order Born and the Rytov methods, become straightforward Fourier inversion procedures. More general methods or "exact" inversion procedures have proved extremely difficult, if not impossible, to implement. The paper describes a new procedure which can further extend the range of validity of the existing techniques.