Geometry of Refractions and Reflections Through a Biperiodic Medium

DOI10.1137/15M1014127zbMath1362.37082OpenAlexW1024081023MaRDI QIDQ5740134

Paul Glendinning

Publication date: 8 July 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1014127

zbMATH Keywords

reflectionergodicityrefractioninterval exchange mapsgeometric ray theorycomposite billiards

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems involving maps of the interval (37E05) Geometric optics (78A05)

Related Items (5)

Triangle Tiling Billiards and the Exceptional Family of their Escaping Trajectories: Circumcenters and Rauzy Gasket ⋮ On some refraction billiards ⋮ Tiling billards on triangle tilings, and interval exchange transformations ⋮ Negative refraction and tiling billiards ⋮ Refraction periodic trajectories in central mass galaxies

Cites Work

• Perfect retroreflectors and billiard dynamics
• Non-ergodic \(\mathbb{Z}\)-periodic billiards and infinite translation surfaces
• The Teichmüller geodesic flow
• On the ergodic properties of nowhere dispersing billiards
• Ergodic theory of interval exchange maps
• Weak mixing for interval exchange transformations and translation flows
• Quantifying intermittency in the open drivebelt billiard
• Effect of noise in open chaotic billiards
• Open Billiards: Invariant and Conditionally Iinvariant Probabilities on Cantor Sets
• Diffusion for the periodic wind-tree model
• The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion
• Interval exchange transformations
• Interval exchange transformations
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