Formal solutions of inverse scattering problems. II

Abstract

The formal solutions of inverse scattering problems presented in Paper I [J. Math. Phys. 10, 1819 (1969)] are shown here to converge in certain cases of potential scattering for sufficiently weak potentials, and in certain cases of refractive scattering for sufficiently weak variations in the index of refraction. The solutions for the cases of boundary scattering, on the other hand, are not likely to converge, because there is no way to make the effect of the boundary sufficiently weak.