Mathematical retroreflectors

Alexander Plakhov

doi:10.3934/dcds.2011.30.1211

Article Contents

2011, Volume 30, Issue 4: 1211-1235. Doi: 10.3934/dcds.2011.30.1211

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Mathematical retroreflectors

Alexander Plakhov^1,

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

Received: May 2010

Revised: August 2010

Published: October 2011

Abstract / Introduction Related Papers Cited by

Abstract

Retroreflectors are optical devices that reverse the direction of incident beams of light. Here we present a collection of billiard type retroreflectors consisting of four objects; three of them are asymptotically perfect retroreflectors, and the fourth one is a retroreflector which is very close to perfect. Three objects of the collection have recently been discovered and published or submitted for publication. The fourth object --- notched angle --- is a new one; a proof of its retroreflectivity is given.

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Mathematics Subject Classification: Primary: 37D50, 49Q10; Secondary: 70G60.

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References

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