  Atom density profile arising in the atomic beam after passing through the one
or two microfabricated structures (MS) is considered. Two limiting cases the
beam with large and small angular divergence are considered. An equivalence of
the considerations based on the Fresnel-Kirchhoff theory of diffraction and on
the atomic recoil-effect is established. Higher order gratings' profiles
produced in the collinear beam owing to the atomic Talbot effect are
calculated. For an atomic beam with large angular divergence, two regimes of
atoms' scattering off the MS, classical and quantum, are analyzed. For
classical scattering from two MSs, the atomic density periodic modulation
focusses at the echo points owing to the shadow effect. Elaborated simple
geometric interpretation of the echo-effect. Dephasing-rephasing processes
induced by two MSs having rational ratio of their periods are fully classified.
Positions and profiles of the higher order gratings are calculated. Gratings'
deformations caused by the quantum scattering are included. In this case,
corresponding to the atomic Talbot-Lau effect, for a distance between fields
equal to 1/n part of the Talbot distance, one compresses n times the grating
caused by the shadow effect.
