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Regular and Chaotic Dynamics, 2020, Volume 25, Issue 1, Pages 11–17
DOI: https://doi.org/10.1134/S1560354720010037 (Mi rcd1046) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Special issue: In honor of Valery Kozlov for his 70th birthday

Two Variations on the Periscope Theorem

Serge Tabachnikov

Department of Mathematics, Penn State University, University Park, PA 16802, USA
Citations (2)
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DOI: https://doi.org/10.1134/S1560354720010037
Abstract: A (multidimensional) spherical periscope is a system of two ideal mirrors that reflect every ray of light emanating from some point back to this point. A spherical periscope defines a local diffeomorphism of the space of rays through this point, and we describe such diffeomorphisms. We also solve a similar problem for (multidimensional) reversed periscopes, the systems of two mirrors that reverse the direction of a parallel beam of light.
Keywords: periscope, optical reflection, projectively gradient vector field.
Funding agency Grant number
National Science Foundation DMS-1510055
This work was supported by NSF grant DMS-1510055.
Received: 22.08.2019
Accepted: 24.12.2019
Bibliographic databases:
Document Type: Article
MSC: 78A05, 37D50
Language: English
Citation: Serge Tabachnikov, “Two Variations on the Periscope Theorem”, Regul. Chaotic Dyn., 25:1 (2020), 11–17
Citation in format AMSBIB
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\paper Two Variations on the Periscope Theorem
\jour Regul. Chaotic Dyn.
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\pages 11--17
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:61
     
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