Bodies with mirror surface invisible from two points

Abstract

We consider a setting where a bounded set with a piecewise smooth boundary in Euclidean space is identified with a body with a 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. © 2014 IOP Publishing Ltd & London Mathematical Society.