Particle motion in the field of a modulated wave

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PhysRevA.31.3282.pdf (536.83 KB)

Links to Files

https://link.aps.org/doi/10.1103/PhysRevA.31.3282

Permanent Link

https://doi.org/10.1103/PhysRevA.31.3282
 http://hdl.handle.net/11603/38891

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UMBC Faculty Collection
UMBC Computer Science and Electrical Engineering Department

Author/Creator

Author/Creator ORCID

https://orcid.org/0000-0003-0269-8433

Date

1985-05-01

Type of Work

journal articles
Text

Department

Program

Citation of Original Publication

Menyuk, Curtis R. “Particle Motion in the Field of a Modulated Wave.” Physical Review A 31, no. 5 (May 1, 1985): 3282–90. https://doi.org/10.1103/PhysRevA.31.3282.

Rights

©1985 The American Physical Society

Subjects

UMBC Optical Fiber Communications Laboratory

Abstract

The motion of a charged particle in a modulated electrostatic wave is studied with special emphasis on a standing wave. It is shown numerically that the trajectories of particles which make transitions from being trapped to untrapped are always chaotic on a sufficiently long time scale, while the trajectories of particles which do not make transitions are regular. It is shown how to calculate the adiabatic invariant for this system using Lie perturbation techniques. Finally, the time scale on which large-scale chaos is visible is determined by calculating Lyapunov exponents.