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arxiv: 1009.1104 · v1 · pith:TLY4UWJFnew · submitted 2010-09-06 · 🧮 math.DS

Invisibility in billiards

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keywords bodiesdirectionsinvisibilityinvisibleresistancezerobilliardsconstruct
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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.

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