Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session G54: Models of AMO Phenomena
11:30 AM–2:30 PM,
Tuesday, March 5, 2024
Room: 203AB
Sponsoring
Unit:
DAMOP
Chair: Xiwen Guan, Innovation Academy for Precision Measurement Sci. & Tech.
Abstract: G54.00011 : Light chaotic dynamics and ray engineering transformed from curved to flat space
1:30 PM–1:42 PM
Presenter:
Chenni Xu
(Department of Physics, Bar Ilan University)
Authors:
Chenni Xu
(Department of Physics, Bar Ilan University)
Itzhack Dana
(Department of Physics, Bar Ilan University)
Li-Gang Wang
(School of Physics, Zhejiang University)
Patrick Sebbah
(Department of Physics, Bar Ilan University)
From our study on chaotic dynamics of light on a typical family of surfaces of revolution, we find that the degree of chaos is fully controlled by the single curvature-related parameter of the curved surface. This statement is verified by exploring in the transformed billiard the dependence with this geometric parameter of the Poincaré surface of section, the Lyapunov exponent and the statistics of eigenmodes and eigenfrequency spectrum. We reveal that curvature provides a degree of freedom in chaos engineering, as well as potentialities to design nonuniform billiards and cavities.
Following the flow of transformation, we propose to engineer the trajectories of light rays by inheriting exotic geodesics on curved surfaces. We show that chaos can be turned off, and all light rays can further be rectified to be periodic. More interestingly, we illustrate spiraling trajectories with extremely long “life time”, transformed from photon sphere of Schwarzschild blackhole. An implementation is suggested for real-time control of chaos and rectification of light rays.
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