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Invisibility in billiards

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Published 4 February 2011 • 2011 IOP Publishing Ltd & London Mathematical Society
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Article information
Author e-mails

plakhov@ua.pt

vera.roschina@gmail.com

Author affiliations

1 Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

2 Department of Mathematics, University of Évora, Colégio Luís António Verney, Rua Romão Ramalho, 59, 7000-671 Évora, Portugal

Dates

Received 22 September 2010
In final form 17 December 2010
Published

Citation

Alexander Plakhov and Vera Roshchina 2011 Nonlinearity 24 847

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DOI

https://doi.org/10.1088/0951-7715/24/3/007

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Abstract

The problem of invisibility for bodies with a mirror surface is studied in the framework of geometrical optics. A closely related problem concerning the existence of bodies that have zero aerodynamical resistance is also studied here. We construct bodies that are invisible/have zero resistance in two directions, and prove that bodies which are invisible/have zero resistance do not exist in all possible directions of incidence.

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