Theory of near-field matter wave interference beyond the eikonal approximation

Details Theory of near-field matter wave interference beyond the eikonal approximation Theory of near-field matter wave interference beyond the eikonal approximation

2008-04-18

arxiv.org/abs/0804.3006v2

Phys. Rev. A 78, 023612 (2008)

Physics

Quantum Physics

19 pages, 10 figures; published version (minor corrections)

Scientific paper

10.1103/PhysRevA.78.023612

A generalized description of Talbot-Lau interference with matter waves is presented, which accounts for arbitrary grating interactions and realistic beam characteristics. The dispersion interaction between the beam particles and the optical elements strongly influences the interference pattern in this near-field effect, and it is known to dominate the fringe visibility if increasingly massive and complex particles are used. We provide a general description of the grating interaction process by combining semiclassical scattering theory with a phase space formulation. It serves to systematically improve the eikonal approximation used so far, and to assess its regime of validity.

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