Recent studies (I. G. Shuttleworth, Surf. Rev. Lett. 14(2) (2007) 321) have demonstrated a direct method of diffraction pattern inversion for the helium atom scattering (HAS) experiment. The method requires the expansion of the Patterson function as a multivariate Taylor series to form a set of...

The problem of diffraction pattern deconvolution in Helium Atom Scattering (HAS) has been solved directly within the Eikonal approximation. A formulation based on the Patterson construction has been developed which reduces the problem to the solution of a set of simultaneous equations in {ζj},...