Self-Consistent Vlasov Description of the Free Electron Laser Instability

Self-Consistent Vlasov Description of the Free Electron Laser Instability PDF Author: Ronald C. Davidson
Publisher:
ISBN:
Category :
Languages : en
Pages : 41

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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.

Self-Consistent Vlasov Description of the Free Electron Laser Instability

Self-Consistent Vlasov Description of the Free Electron Laser Instability PDF Author: Ronald C. Davidson
Publisher:
ISBN:
Category :
Languages : en
Pages : 41

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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.

Self-consistent Vlasov Description of the Free Electron Laser Instability in a Relativistic Electron Beam with Uniform Density

Self-consistent Vlasov Description of the Free Electron Laser Instability in a Relativistic Electron Beam with Uniform Density PDF Author: Ronald C. Davidson
Publisher:
ISBN:
Category : Electron beams
Languages : en
Pages : 38

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Theory of Free Electron Laser Instability in a Relativistic Annular Electron Beam

Theory of Free Electron Laser Instability in a Relativistic Annular Electron Beam PDF Author: Han S. Uhm
Publisher:
ISBN:
Category :
Languages : en
Pages : 50

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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.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 264

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Energy Research Abstracts

Energy Research Abstracts PDF Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 1344

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Self-consistent Kinetic Description of the Free Electron Laser Instability in a Planar Magnetic Wiggler

Self-consistent Kinetic Description of the Free Electron Laser Instability in a Planar Magnetic Wiggler PDF Author: Ronald C. Davidson
Publisher:
ISBN:
Category :
Languages : en
Pages : 62

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Physics Of Nonneutral Plasmas

Physics Of Nonneutral Plasmas PDF Author: Ronald C Davidson
Publisher: World Scientific Publishing Company
ISBN: 1911298194
Category : Science
Languages : en
Pages : 755

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Book Description
A nonneutral plasma is a many-body collection of charged particles in which there is not overall charge neutrality. The diverse areas of application of nonneutral plasmas include: precision atomic clocks, trapping of antimatter plasmas and antihydrogen production, quantum computers, nonlinear vortex dynamics and fundamental transport processes in trapped nonneutral plasmas, strongly-coupled one-component plasmas and Coulomb crystals, coherent radiation generation in free electron devices, such as free electron lasers, magnetrons and cyclotron masers, and intense charged particle beam propagation in periodic focusing accelerators and transport systems, to mention a few examples. Physics of Nonneutral Plasmas is a graduate-level text — complete with 138 assigned problems and the results from several classic experiments — which covers a broad range of topics related to the fundamental properties of collective processes and nonlinear dynamics of one-component and multispecies charged particle systems in which there is not overall charge neutrality. The subject matter is treated systematically from first principles, using a unified theoretical approach, and the emphasis is on the development of basic concepts that illustrate the underlying physical processes in circumstances where intense self fields play a major role in determining the evolution of the system. The theoretical analysis includes the full influence of dc space charge effects on detailed equilibrium, stability and transport properties. The statistical models used to describe the properties of nonneutral plasmas are based on the nonlinear Vlasov-Maxwell equations, the macroscopic fluid-Maxwell equations, or the Klimontovich-Maxwell equations, as appropriate, and extensive use is made of theoretical techniques developed in the description of multispecies electrically-neutral plasmas, as well as established techniques in classical mechanics, electrodynamics and statistical physics.Physics of Nonneutral Plasmas emphasizes basic physics principles, and the thorough presentation style is intended to have a lasting appeal to graduate students and researchers alike. Because of the advanced theoretical techniques developed for describing one-component charged particle systems, this book serves as a useful companion volume to Physics of Intense Charged Particle Beams in High Energy Accelerators by Ronald C Davidson and Hong Qin.

Physics Briefs

Physics Briefs PDF Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 772

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Scientific Assessment of High-Power Free-Electron Laser Technology

Scientific Assessment of High-Power Free-Electron Laser Technology PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309126894
Category : Technology & Engineering
Languages : en
Pages : 66

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Book Description
This book presents a scientific assessment of free-electron-laser technology for naval applications. The charge from the Office of Naval Research was to assess whether the desired performance capabilities are achievable or whether fundamental limitations will prevent them from being realized. The present study identifies the highest-priority scientific and technical issues that must be resolved along the development path to achieve a megawatt-class free-electron laser. In accordance with the charge, the committee considered (and briefly describes) trade-offs between free-electron lasers and other types of lasers and weapon systems to show the advantages free-electron lasers offer over other types of systems for naval applications as well as their drawbacks. The primary advantages of free-electron lasers are associated with their energy delivery at the speed of light, selectable wavelength, and all-electric nature, while the trade-offs for free-electron lasers are their size, complexity, and relative robustness. Also, Despite the significant technical progress made in the development of high-average-power free-electron lasers, difficult technical challenges remain to be addressed in order to advance from present capability to megawatt-class power levels.

Physics of Nonneutral Plasmas

Physics of Nonneutral Plasmas PDF Author: Davidson
Publisher: Allied Publishers
ISBN: 9788177648485
Category : Nonneutral plasma
Languages : en
Pages : 760

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