Open Access
2012 Trapping light rays aperiodically with mirrors
Zachary Mitchell, Gregory Simon, Xueying Zhao
Involve 5(1): 9-14 (2012). DOI: 10.2140/involve.2012.5.9

Abstract

We construct a configuration of disjoint segment mirrors in the plane that traps a single light ray aperiodically, providing a negative solution to a conjecture of O’Rourke and Petrovici. We expand this to show that any finite number of rays from a source can be trapped aperiodically.

Citation

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Zachary Mitchell. Gregory Simon. Xueying Zhao. "Trapping light rays aperiodically with mirrors." Involve 5 (1) 9 - 14, 2012. https://doi.org/10.2140/involve.2012.5.9

Information

Received: 4 May 2010; Revised: 25 June 2011; Accepted: 6 July 2011; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1247.51015
MathSciNet: MR2924309
Digital Object Identifier: 10.2140/involve.2012.5.9

Subjects:
Primary: 37D50 , 78A05

Keywords: Billiards , dynamical systems , mirrors , trapping light

Rights: Copyright © 2012 Mathematical Sciences Publishers

Vol.5 • No. 1 • 2012
MSP
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