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Analysis Of The Dynamic Behavior Of An Intense Charged Particle Beam Using The Semigroup Approach
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Book Synopsis Analysis of the Dynamic Behavior of an Intense Charged Particle Beam Using the Semigroup Approach by : M. A. Stafford
Download or read book Analysis of the Dynamic Behavior of an Intense Charged Particle Beam Using the Semigroup Approach written by M. A. Stafford and published by . This book was released on 1985 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic models of a charged particle beam subject to external electromagnetic fields are cast into the abstract Cauchy problem form. Various applications of intense charged particle beams, i.e., beams whose self electromagnetic fields are significant, might require, or be enhanced by, the use of dynamic control constructed from suitably processed measurements of the state of the beam. This research provides a mathematical foundation for future engineering development of estimation and control designs for such beams. Beginning with the Vlasov equation, successively simpler models of intense beams are presented, along with their corresponding assumptions. Expression of a model in abstract Cauchy problem form is useful in determining whether the model is well posed. Solutions of well-posed problems can be expressed in terms of a one-parameter semigroup of linear operators. (The state transition matrix for a system of linear, ordinary, first-order, constant coefficient differential equations is a special case of such a semigroup.) The semigroup point of view allows the application of the rapidly maturing modern control theory of infinite-dimensional systems. An appropriate underlying Banach space is identified for a simple, but non-trivial, single degree of freedom model (the electrostatic approximation model), and the associated one-parameter semigroup of linear operators is characterized. (Author).
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1986 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Ronald C. Davidson Publisher :World Scientific Publishing Company ISBN 13 :9781860943010 Total Pages :583 pages Book Rating :4.9/5 (43 download)
Book Synopsis Physics of Intense Charged Particle Beams in High Energy Accelerators by : Ronald C. Davidson
Download or read book Physics of Intense Charged Particle Beams in High Energy Accelerators written by Ronald C. Davidson and published by World Scientific Publishing Company. This book was released on 2001-01-01 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate-level text - complete with 75 assigned problems - which covers a broad range of topics related to the fundamental properties of collective processes and nonlinear dynamics of intense charged particle beams in periodic focusing accelerators and transport systems. 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 and intense self-field effects on detailed equilibrium, stability and transport properties, and is valid over a wide range of system parameters ranging from moderate-intensity, moderate-emittance beams to very-high-intensity, low-emittance beams. The statistical models used to describe the properties of intense charged particle beams are based on the Vlasov-Maxwell equations, the macroscopic fluid-Maxwell equations, or the Klimontovich-Maxwell equations, as appropriate.
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1988-10 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Beam Dynamics In High Energy Particle Accelerators by : Andrzej Wolski
Download or read book Beam Dynamics In High Energy Particle Accelerators written by Andrzej Wolski and published by World Scientific. This book was released on 2014-01-21 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle accelerators are essential tools for scientific research in fields as diverse as high energy physics, materials science and structural biology. They are also widely used in industry and medicine. Producing the optimum design and achieving the best performance for an accelerator depends on a detailed understanding of many (often complex and sometimes subtle) effects that determine the properties and behavior of the particle beam. Beam Dynamics in High Energy Particle Accelerators provides an introduction to the concepts underlying accelerator beam line design and analysis, taking an approach that emphasizes the elegance of the subject and leads into the development of a range of powerful techniques for understanding and modeling charged particle beams.
Book Synopsis Government reports annual index by :
Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Annual Index: Keyword A-L by :
Download or read book Government Reports Annual Index: Keyword A-L written by and published by . This book was released on 1986 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Air University Abstracts of Research Reports by :
Download or read book Air University Abstracts of Research Reports written by and published by . This book was released on 1986 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Comprehensive Dissertation Index by :
Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1989 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1986 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book INIS Atomindex written by and published by . This book was released on 1987 with total page 1214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 1224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Intense Beam Dynamics in Arbitrary Structures by : Anthony Jun-Yin Gee
Download or read book Intense Beam Dynamics in Arbitrary Structures written by Anthony Jun-Yin Gee and published by . This book was released on 2018 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle accelerators are ubiquitous in science and society and their use is still growing globally. Beam physics, the physics underlying accelerator science, is focusing in part on studies and applications where intense charged particle beams become essential. The high-intensity may cause new collective instabilities and phenomena which are difficult to be modeled by conventional means. New numerical methods must be developed to efficiently and reliably model, simulate and optimize such high currents. The University of Maryland Electron Ring (UMER) and the Fermilab Integrable Optics Test Accelerator (IOTA) are dedicated test rings to study the high intensity regimes. A 3-D symplectic tracking code, PHAD, was recently developed, which implements the adaptive Fast Multipole Method (FMM) in the differential algebraic (DA) framework to compute accurately and efficiently the self-induced Coulomb forces, and the beam dynamics under the combined external and internal forces. However, beam-environment interactions are missing. To add the beam-wall interactions, a new theory and numerical methods are needed. Previously, the beam-wall interactions were approximated using simplistic geometries that often gave unrealistic results. To this end, we develop the Poisson Integral Solver with Curved Surfaces (PISCS) method and implement it in the general purpose nonlinear dynamics code COSY Infinity. PISCS uses the fast multipole accelerated boundary element method in the differential algebraic framework. PISCS efficiently represents the beam-wall interaction in arbitrary structures. We implement a strategy that can include the beam-wall interaction in other space charge tracking codes too. This work presents and benchmarks PISCS with complicated geometries and includes analyses of space charge and the beam-wall interactions using the extracted transfer maps.
Book Synopsis Nonlinear Delta(f) Simulations of Collective Effects in Intense Charged Particle Beams by :
Download or read book Nonlinear Delta(f) Simulations of Collective Effects in Intense Charged Particle Beams written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A nonlinear delta(f) particle simulation method based on the Vlasov-Maxwell equations has been recently developed to study collective processes in high-intensity beams, where space-charge and magnetic self-field effects play a critical role in determining the nonlinear beam dynamics. Implemented in the Beam Equilibrium, Stability and Transport (BEST) code [H. Qin, R.C. Davidson, and W.W. Lee, Physical Review -- Special Topics on Accelerator and Beams 3 (2000) 084401; 3 (2000) 109901.], the nonlinear delta(f) method provides a low-noise and self-consistent tool for simulating collective interactions and nonlinear dynamics of high-intensity beams in modern and next-generation accelerators and storage rings, such as the Spallation Neutron Source and heavy ion fusion drivers. A wide range of linear eigenmodes of high-intensity charged-particle beams can be systematically studied using the BEST code. Simulation results for the electron-proton two-stream instability in the Proton Storage Ring experiment [R. Macek, et al., in Proc. of the Particle Accelerator Conference, Chicago, 2001 (IEEE, Piscataway, NJ, 2001), Vol. 1, p. 688.] at the Los Alamos National Laboratory agree well with experimental observations. Large-scale parallel simulations have also been carried out for the ion-electron two-stream instability in the very-high-intensity heavy ion beams envisioned for heavy ion fusion applications. In both cases, the simulation results indicate that the dominant two-stream instability has a dipole-mode (hose-like) structure and can be stabilized by a modest axial momentum spread of the beam particles.
Book Synopsis Modeling the Dynamics of Charged-particle Beams Using a Fokker-Planck Approach by :
Download or read book Modeling the Dynamics of Charged-particle Beams Using a Fokker-Planck Approach written by and published by . This book was released on 1994 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the previous Linac Conference, we introduced a semianalytic Fokker-Planck formalism for calculating the evolution of intense, nonrelativistic, mismatched beams propagating through focusing channels. We have since elaborated on its physical basis and greatly expanded its applicability. In this paper, we implement the model to study the dynamics of a circularly symmetric beam propagating through a linear focusing channel. An example is discussed for an ion beam and accelerator parameters which are representative of high-current spallation neutron sources in which space-charge forces are important. The example illustrates the dynamics of emittance growth and halo formation in the beam.
Book Synopsis Moment Approach to Charged Particle Beam Dynamics by :
Download or read book Moment Approach to Charged Particle Beam Dynamics written by and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We have derived the hierarchy of moment equations that describes the dynamics of charged-particle beams in linear accelerators and can truncate the hierarchy at any level either by discarding higher moments or by a cumulant expansion discarding only correlation functions. We have developed a procedure for relating the density expansion linearly to the moments to any order. The relation of space-charge fields to the density has been derived; and an accurate, systematic, and computationally convenient expansion of the resultant integrals has been developed.
