English

Invisibility in billiards

Dynamical Systems 2015-05-19 v1

Abstract

The question of invisibility for bodies with mirror surface is studied in the framework of geometrical optics. We construct bodies that are invisible/have zero resistance in two mutually orthogonal directions, and prove that there do not exist bodies which are invisible/have zero resistance in all possible directions of incidence.

Keywords

Cite

@article{arxiv.1009.1104,
  title  = {Invisibility in billiards},
  author = {Alexander Plakhov and Vera Roshchina},
  journal= {arXiv preprint arXiv:1009.1104},
  year   = {2015}
}
R2 v1 2026-06-21T16:10:06.731Z