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Bodies with mirror surface invisible from two points. (English) Zbl 1351.37162

Summary: 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.

MSC:

37D50 Hyperbolic systems with singularities (billiards, etc.) (MSC2010)
78A05 Geometric optics
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