Three-dimensional theory of the free-electron laser in the collective regime
Physical Review A, ISSN: 1050-2947, Vol: 28, Issue: 6, Page: 3438-3449
1983
- 87Citations
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Metrics Details
- Citations87
- Citation Indexes87
- CrossRef87
- 68
Article Description
A fully self-consistent theory of the free-electron laser is derived in the collective regime which includes all transverse variations in the wiggler field as well as the effects of a finite waveguide geometry. A general orbit theory is derived by perturbation about the steady-state trajectories in a configuration which consists of an axial guide field in addition to the helical wiggler field, and used to obtain the source current and charge density for the Maxwell-Poisson equations. By this means, a set of coupled differential equations is found which describes an arbitrary radial beam profile. A dispersion equation is obtained under the assumption of a thin monoenergetic beam, and solved numerically for the growth rates of the TE11 and TM11 modes in a cylindrical waveguide. A selection rule is found by which the TElm or TMlm modes are resonant at the lth free-electron-laser Doppler upshift. © 1983 The American Physical Society.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0004319303&origin=inward; http://dx.doi.org/10.1103/physreva.28.3438; https://link.aps.org/doi/10.1103/PhysRevA.28.3438; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevA.28.3438/fulltext; http://link.aps.org/article/10.1103/PhysRevA.28.3438
American Physical Society (APS)
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