Theory of Free Electron Laser Instability in a Relativistic Annual [i.e. Annular] Electron Beam PDF Download

Author: Han S. Uhm
Publisher:
ISBN:
Category : Electron beams
Languages : en
Pages : 94

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Author: Han S. Uhm
Publisher:
ISBN:
Category :
Languages : en
Pages : 50

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A self-consistent theory of the free electron laser instability is developed for a hollow electron beam propagating through an undulator (multiple mirror) magnetic field. The stability analysis is carried out within the framework of the linearized Vlasov-Maxwell equations. The dispersion relation describing the free electron laser instability in a hollow relativistic electron beam is obtained for an equilibrium distribution function in which all electrons have same value of transverse energy and the same value of canonical angular momentum, and a Lorentian distribution in axial momentum. It is shown that the influence of finite radial geometry plays a critical role in determining detailed stability behavior. Moreover, the growth rate and bandwidth of the instability can be expressed in terms of Budker's parameter upsilon, instead of the plasma frequency as in the case of a uniform density beam. Furthermore, it is found that free electron laser stability properties exhibit a sensitive dependence on axial momentum spread.

Author: Han S. Uhm
Publisher:
ISBN:
Category :
Languages : en
Pages : 78

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The free electron laser instability is investigated for a relativistic annular electron beam propagating through a helical wiggler magnetic field. It is assumed that the beam is thin, with radial thickness (2a) much smaller than the beam radius (RO), and that nu/gamma(b) “1, where nu is Budker's parameter. The stability analysis is carried out within the framework of the linearized Vlasov-Maxwell equations for perturbations with general azimuthal harmonic number l and radial mode number s, including the important influence of (a) finite beam geometry in the radial direction, (b) positioning of the beam radius relative to the outer conducting wall (RO/Rc), and (c) finite wiggler amplitude (deta B). All of these effects are shown to have an important influence on stability behavior. Moreover, the maximum coupling between the transverse and longitudinal modes increases substantially with increasing radial mode number s. It is also found that the transverse magnetic (TM) mode has slightly larger growth rate than the transverse electric (TE) mode. (Author).

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 692

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Author: Han S. Uhm
Publisher:
ISBN:
Category :
Languages : en
Pages : 70

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The free electron laser instability for a solid relativistic electron beam propagating in combined transverse helical wiggler and uniform axial guide fields is investigated within the framework of the linearized Vlasov-Maxwell equations. Stability properties are investigated for the choice of equalibrium distribution function in which all electrons have the same value of the linear combination of transverse and helical invariants. The instability growth rate is calculated including a determination of the optimum value of the ratio of beam radius to conducting wall radius for maximum growth. It is found that the maximum growth rate for a solid electron beam is comparable to that for a hollow beam with similar parameters. Moreover, the introduction of a small axial momentum spread significantly reduces the instability growth rate.

Author: W. B. Colson
Publisher:
ISBN:
Category : Compton effect
Languages : en
Pages : 314

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Author: Giuseppe Dattoli
Publisher: World Scientific
ISBN: 9814506370
Category : Science
Languages : en
Pages : 666

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Contents:Electron Beam OpticsSynchrotron Radiation: A Short DescriptionSynchrotron Radiation: Emission in Undulator MagnetsAccelerators with Radiative DumpingFree Electron Laser: An IntroductionFEL Pendulum EquationUndulator FEL DynamicsFEL Integral EquationMiscellaneous Considerations on the FEL Gain and the High-Gain LimitA Qualitative Description of Storage-Ring FEL Dynamics and Longitudinal Mode Coupling Readership: Laser physicists. keywords:Free Electron Laser;Laser;Linac;Microtron;Storage Ring;Synchrotron Radiation;Undulators;Wigglers;Bending Magnets;Coherent Radiation Sources;Beam Optics;Colson Equation;Electron Beam Transport;FEL Pendulum Equation;Gain Curve;High Gain Regime;Saturation;Small Gain Regime;Transport Channel;Magnetic Undulator

Author: H.P. Freund
Publisher: Springer Science & Business Media
ISBN: 9780412725401
Category : Technology & Engineering
Languages : en
Pages : 586

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This book is the definitive tutorial text and reference work on free electron lasers. Since the publication of the first edition in 1992 there has been a significant increase both in the number of free-electron lasers in use worldwide, and in the understanding of the various regimes for these devices. In order to maintain the position of this book as the most comprehensive and thorough reference and tutorial in the field, the authors have completely updated the book. In addition to updates and corrections to chapters in the first edition, new chapters have been added.

Author: Valery B. Krasovitskii
Publisher: Nova Publishers
ISBN: 9781600215155
Category : Science
Languages : en
Pages : 234

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This book is devoted to the non-linear theory of the collective interaction between a modulated beam of relativistic charged particles and narrow electromagnetic and Langmuir wave packets in plasma or gas slow-wave systems. Regular oscillations excited by a relativistic beam under the conditions of Cherenkov resonance and the anomalous Doppler effect can be used to generate coherent microwave radiation and accelerate charged particles in plasma.

Author: Ronald C. Davidson
Publisher:
ISBN:
Category : Electron beams
Languages : en
Pages : 38

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