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

TL;DR

This paper develops a theoretical and simulation framework for understanding moiré patterns in cylindrical single-layer structures, with applications to materials like graphene and nanotubes.

Contribution

It introduces a new theory for moiré effects on arbitrary oriented cylindrical surfaces and simulates these effects using dual grids, including chiral configurations.

Findings

Simulated moiré patterns in plane gratings and cylinders.

Applicable to graphene layers and nanotubes.

Includes near-axis and chiral moiré effects.

Abstract

Basing on the theory for arbitrary oriented surfaces, we developed the theory of the moir\'e effect for cylindrical single-layer objects in the paraxial approximation. With using the dual grids, the moir\'e effect in the plane gratings is simulated, as well as the near-axis moir\'e 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.