Two Variations on the Periscope Theorem

被引：0
|
作者：
Serge Tabachnikov
机构：
[1] Penn State University,Department of Mathematics
来源：
Regular and Chaotic Dynamics | 2020年 / 25卷
关键词：
periscope; optical reflection; projectively gradient vector field; 78A05; 37D50;
D O I：
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学科分类号：
摘要：
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.
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页码：11 / 17
页数：6
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