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   <subfield code="a">We report on a theoretical and numerical study of the propagation of atomic beams crossing a detuned standing-wave laser beam in the geometric-optics limit. The interplay between the external and internal atomic degrees of freedom is used to manipulate the atomic motion along the light optical axis. By adjusting the atom-laser detuning, we demonstrate how to focus, split, and scatter atomic beams in real experiments. The novel effect of chaotic scattering of atoms on a regular near-resonant standing wave is found numerically and explained qualitatively. Some applications of the effects found are discussed.</subfield>
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