Two Variations on the Periscope Theorem

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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.

Original languageEnglish (US)
Pages (from-to)11-17
Number of pages7
JournalRegular and Chaotic Dynamics
Volume25
Issue number1
DOIs
StatePublished - Jan 1 2020

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All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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