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Basing on the theory for arbitrary oriented surfaces, we developed the theoryof the moir\'e effect for cylindrical single-layer objects in the paraxialapproximation. With using the dual grids, the moir\'e effect in the planegratings is simulated, as well as the near-axis moir\'e effect in cylindersincluding the chiral layouts. The results can be applied to the graphenelayers, to single-walled nanotubes, and to cylinders in general.

Theory and computer simulation of the moir\'e patterns in single-layer cylindrical particles