We have developed a novel interferometer for atom de Broglie waves, wh
ere amplitude division and recombination is achieved by diffraction at
standing light waves operating as phase gratings. Our new atom interf
erometer is the exact mirror image of interferometers for light, with
the roles of atoms and photons interchanged, and it directly demonstra
tes coherence of the diffraction of atomic waves at standing light wav
es. Easy manipulation of the phase, intensity, and polarization of the
standing light wave permits novel studies of atomic coherence propert
ies.