English

Negative refraction and tiling billiards

Dynamical Systems 2017-09-22 v4

Abstract

We introduce a new dynamical system that we call "tiling billiards," where trajectories refract through planar tilings. This system is motivated by a recent discovery of physical substances with negative indices of refraction. We investigate several special cases where the planar tiling is created by dividing the plane by lines, and we describe the results of computer experiments.

Keywords

Cite

@article{arxiv.1502.02053,
  title  = {Negative refraction and tiling billiards},
  author = {Diana Davis and Kelsey DiPietro and Jenny Rustad and Alexander St Laurent},
  journal= {arXiv preprint arXiv:1502.02053},
  year   = {2017}
}

Comments

28 pages, 25 figures

R2 v1 2026-06-22T08:24:18.319Z