English

Bodies with mirror surface invisible from two points

Dynamical Systems 2015-06-15 v1

Abstract

Here we are concerned with a special issue of billiard invisibility, where a bounded set with a piecewise smooth boundary in Euclidean space is identified with a body with mirror surface, and the billiard in the complement of the set is identified with the dynamics of light rays outside the body in the framework of geometric optics. We show that in this setting it is possible to construct a body invisible from two points.

Keywords

Cite

@article{arxiv.1304.4005,
  title  = {Bodies with mirror surface invisible from two points},
  author = {Alexander Plakhov and Vera Roshchina},
  journal= {arXiv preprint arXiv:1304.4005},
  year   = {2015}
}
R2 v1 2026-06-21T23:59:31.304Z