Theory and computer simulation of the moiré patterns in single-layer cylindrical particles
This work provides a theoretical framework for analyzing moiré effects in cylindrical structures, which is incremental for researchers in materials science and nanotechnology.
The paper tackled the problem of modeling moiré patterns in cylindrical single-layer objects by developing a theory based on arbitrary oriented surfaces and simulating the effect using dual grids, including chiral layouts, with applications to graphene layers and nanotubes.
Basing on the theory for arbitrary oriented surfaces, we developed the theory of the moiré effect for cylindrical single-layer objects in the paraxial approximation. With using the dual grids, the moiré effect in the plane gratings is simulated, as well as the near-axis moiré effect in cylinders including the chiral layouts. The results can be applied to the graphene layers, to single-walled nanotubes, and to cylinders in general.