Emil Wolf

Abstract

A solution is presented to an inverse scattering problem that arises in the application of holography to the determination of the three-dimensional structure of weakly scattering semi-transparent objects. This solution. together with a result obtained in another recent publication. relating to the determina- tion of the complex amplitude distribution of scattered fields from measurements of the intensity trans- mission functions of holograms, makes it possible to calculate the distribution of the (generally complex) refractive index throughout the object. In general many holograms are needed. corresponding to differ- ent directions of illumination of the object.