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uids, as it has been described in [14, 19]. 

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Since we have mentioned above Henry Fox Tal- bot and his beautiful pattern, Fig. 8, it would be appropriate to consider behavior of the Bohmian trajectories on the Talbot carpet [10]. Their be- havior on the interference Talbot carpets is im- pressive. Fig. 9 shows the Talbot-carpet emer- gent by simulation of scattering monochromatic thermal neutrons ( λ = 0 . 5 nm) on the slit grat- ing containing N = 512 slits. Distance between slits, in this case, is d = 50 λ = 25 nm, so λ/d = 0 . 02 ≪ 1. The Talbot length of that car- pet is z$_{T}$ = 2500 nm. And the ratio of this length to the distance between slits is z$_{T}$/d = 100. So, such Talbot carpet can be observed in a long 

narrow neutron guide section. 

In Fig. 9 the trajectories, that we see in the up- per part of the figure, demonstrate clear zigzag behavior. They have tendency to pass through caustics (dark patches in this figure) and avoid lacunae (white lens-like domains). If a trajectory traverses across a light-colored region, it crosses this region along a shortest route. 

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In conclusion of this section let us consider a hard case of the ratio λ/d , namely d = 10 $^{3}$λ and the ratio is λ/d = 0 . 001. Figs. 10 and 11 show an interference pattern in the near-field region from the grating, having N = 64 slits, and for the case 

