Particle motion in the field of a modulated wave

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dc.contributor.authorMenyuk, Curtis
dc.date.accessioned2025-06-17T14:45:24Z
dc.date.available2025-06-17T14:45:24Z
dc.date.issued1985-05-01
dc.description.abstractThe 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.
dc.description.sponsorshipThe author is grateful to Professor A. Dragt, Dr. D. Escande, and Dr. J. Greene for useful conversations. This work was supported by the National Science Foundation, Contract No. PHY-80- I4189.
dc.description.urihttps://link.aps.org/doi/10.1103/PhysRevA.31.3282
dc.format.extent9 pages
dc.genrejournal articles
dc.identifierdoi:10.13016/m2qx0c-cezs
dc.identifier.citationMenyuk, 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.
dc.identifier.urihttps://doi.org/10.1103/PhysRevA.31.3282
dc.identifier.urihttp://hdl.handle.net/11603/38891
dc.language.isoen_US
dc.publisherAPS
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department
dc.rights©1985 The American Physical Society
dc.subjectUMBC Optical Fiber Communications Laboratory
dc.titleParticle motion in the field of a modulated wave
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-0269-8433

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