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arXiv · 1502.02053

Negative refraction and tiling billiards

Diana Davis·Kelsey DiPietro·Jenny Rustad·Alexander St Laurent
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Abstract

We introduce a new dynamical system that we call "tiling billiards," where trajectories refract through planar tilings. This system is motivated by a recent discovery of physical substances with negative indices of refraction. We investigate several special cases where the planar tiling is created by dividing the plane by lines, and we describe the results of computer experiments.

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Diana Davis, Kelsey DiPietro, Jenny Rustad, Alexander St Laurent. 2015-02-06. Negative refraction and tiling billiards. https://arxiv.org/abs/1502.02053

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