The scanning tunneling microscopy experiments have opened up a new cla
ss of scattering inversion problems, where the scatterers are fixed an
d the boundary condition corresponds to a movable point source. Using
a least square method. we can obtain the scattering T-matrix for an as
sembly of atoms (s-wave point scatterers) on a surface; and thus the o
ff-diagonal elements of the Green function just from the knowledge of
the one-tip data. Therefore, transport property measurements such as t
hat suggested by Niu et al., which are needed when other kind of defec
ts an present, can be predicted solely from the one-tip data.