A scanning tunneling microscope, operated in the near field emission regime
, is used to obtain the phases of very low energy electrons reflected from
a sample surface. A simple theoretical model shows that the spectrum of the
electron standing waves, formed in the vacuum gap between the tip probe an
d the sample, is directly related to the complex amplitudes of the reflecte
d electron waves. The surface sensitivity of the interferometric spectra is
demonstrated in the analysis of different reconstructions of the Pb/Si(111
) system. (C) 1999 Elsevier Science B.V. All rights reserved.