English

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

Mesoscale and Nanoscale Physics 2017-09-20 v1 Computer Vision and Pattern Recognition Optics

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.

Cite

@article{arxiv.1610.04156,
  title  = {Theory and computer simulation of the moir\'e patterns in single-layer cylindrical particles},
  author = {Vladimir Saveljev and Irina Palchikova},
  journal= {arXiv preprint arXiv:1610.04156},
  year   = {2017}
}

Comments

8 pages, 14 figures, 45 equations; first written on July 3, 2016, last modified on October 12, 2016

R2 v1 2026-06-22T16:19:59.726Z