Fully resolved matter-wave diffractions up to 2nd order with the square-wave grating of 400 um period and strip width ranging from 10 to 200 um under grazing incidence condition were reported in our earlier work. We have shown that diffraction of matter-wave from the grating whose stip width is 10 um resulted mainly from scattering off a periodic array of parallel half-planes //footnote: more explanation about this system will be given in the following section or discussed further in section 2 below// by comparing with a theoretical calculation performed by Bogomoly and Schmit in 2003 [prl-3,4]. By adopting their theoretical analysis, we presented a possibility for the new reflection or diffraction mechanism for matter-waves, a half-plane model. In addition, the transition of reflection or diffraction mechanisms from half-plane array diffraction to quantum reflection has been studied with increasing strip width as quantum reflection becomes dominant at larger stip widths.
 In this article, along with the lines of our previous work, we study how the interaction of the matter-wave with the grating surface of a finite width affects the half-plane array diffraction. The interaction induces an additional phase shift along the path of the matter-wave, and, therefore, reduces the diffraction efficiency. The interaction effects appear differently for different species such as He and D2, for different periods of gratings with the same strip width, and for different de Broglie wavelengths of He atoms. Moreover, we look into the possibility to apply this model to general gas by caring on a theoretical investigation into reflectivity of nitrogen and helium dimer from the half-plane system. ~~
This report is structured as follows: