Free Electron Laser Instability for a Relativistic Annular Electron Beam in a Helical Wiggler Field PDF Download
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Author: Han S. Uhm Publisher: ISBN: Category : Languages : en Pages : 78
Book Description
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: Han S. Uhm Publisher: ISBN: Category : Languages : en Pages : 78
Book Description
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: Han S. Uhm Publisher: ISBN: Category : Languages : en Pages : 70
Book Description
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: H.P. Freund Publisher: Springer Science & Business Media ISBN: 9780412725401 Category : Technology & Engineering Languages : en Pages : 586
Book Description
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: Han S. Uhm Publisher: ISBN: Category : Languages : en Pages : 50
Book Description
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: Ronald C. Davidson Publisher: ISBN: Category : Languages : en Pages : 41
Book Description
In recent years there have been several theoretical and experimental investigations of the free electron laser which generates coherent electromagnetic radiation using an intense relativistic electron beam as an energy source. With few exceptions, theoretical studies of the free electron laser instability are based on highly simplified models which often neglect beam kinetic effects and coupling to higher harmonics of the fundamental wiggler wavenumber k sub 0, or make use of very idealized approximations in analyzing the matrix dispersion relation. The purpose of the present paper is to develop a fully self-consistent description of the free electron laser instability base d on the Vlasov-Maxwell equations. The final matrix dispersion relation includes all beam kinetic effects and coupling to arbitrary harmonic number (n) of the fundamental wiggler wavenumber k sub 0. Moreover, the final matrix dispersion relation makes no a priori assumption that any off-diagonal elements are negligibly small. The present analysis assumes a relativistic electron beam with uniform cross-section propagating in the z-direction through a helical wiggler field.
Author: Publisher: ISBN: Category : Aeronautics Languages : en Pages : 1370
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: Han S. Uhm
Author: Han S. Uhm
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Author: H.P. Freund
Author: Ronald C. Davidson![Theory of Free Electron Laser Instability in a Relativistic Annual [i.e. Annular] Electron Beam PDF](https://books.google.com/books/content/images/frontcover/OmD6tgAACAAJ?fife=w80-h100)
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