has made the first breakthrough for atomic mirror and applied to the evanescent wave mirror. ??It's combination of standing wave and physical material became one of the candidates for the ideal atomic mirror where the reflectivity goes up to almost 1 [re].
  At an earlier stage,
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Optical standing wave which induces much stronger optical force on atoms(or tuning laser)
The first observation of Kapitza-Dirac effect in the scattering of the sodium atom by optical standing wave [ref]

1.2 Quantum Reflection

 Quantum reflection is a quantum mechanical phenomenon in which a particle is reflected by the attractive part of the van der Waals potential as depicted in Fig. 1(a). Unlike classical reflection, a particle does not need to collide with the surface because quantum reflection typically occurs tens of nanometers away from the surface. In order to investigate quantum reflection experimentally, the particle’s kinetic energy perpendicular to the surface must be sufficiently small. One way to achieve this prerequisite is using a grazing incidence condition. Fig. 1(b) shows a sketch of the grazing incidence condition. In typical experimental conditions, a grazing incidence angle qin of a few mrads provides a sufficiently small z-component kinetic energy Ez. perpendicular to the surface

1.3 Matter-wave diffraction from a periodic array of half planes

Theory

1.1 QR - semiclassical approach - sam's code(brief explanation about two competing theoretical model)

--- least squares analysis (logarithmic)

1.2 Half plane  - original/ Attenuation

- the possibility to observe the diffraction of N2 of He3 - theoretical curve with the square-wave grating