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Charged Particle Dynamics And Beam Transport Optics

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An introduction to Beam Optics We will address in this lecture the theory of the guiding and focusing of charged particles in accelerator structures. We will start discussing the methods of “Beam Optics” by introducing the basic tools needed in that domain : The solution of Poisson’s equation is an essential component of any self-consistent electrostatic beam dynamics code that models the transport of intense charged particle beams in ac-celerators. GPT (General Particle Tracer) is a popular simulation tool for designing accelerators and beam lines. GPT is based on 3D particle tracking techniques, providing a solid basis for the study of all 3D and non-linear effects of charged particles dynamics in electromagnetic fields.

Charged particle dynamics and beam transport optics - Book chapter ...

We present a new approach that demonstrates the deflection and guiding of relativistic electron beams over curved paths by means of the magnetic field generated in a plasma-discharge capillary. We experimentally prove that the guiding is much less affected by the beam chromatic dispersion with respect to a conventional bending magnet and, with the Abstract Particle beam modeling in accelerators has been the focus of considerable effort since the 1950s. Many generations of tools have resulted from this process, each leveraging both prior experience and increases in computer power. However, continuing innovation in accelerator technology results in systems that are not well described by existing tools, so the software

13.1 Introduction Effective and efficient use of ion or electron accelerators requires a knowledge of how to control and manipulate beams of charged particles using electric and magnetic fields. Because this discipline shares many concepts acquired historically through the study of light, the names “electron optics” and “ion optics” came into early usage. Subsequently, the generic IBSimu Ion optics and plasma extraction simulation IBSimu is an ion optical computer simulation package for ion optics, plasma extraction and space charge dominated ion beam transport using Vlasov iteration. The code has several capabilities for solving electric fields in a defined geometry and tracking particles in electric and Bibliography Includes bibliographical references. Contents Preface 1. Charged particle dynamics and beam transport optics 1.1. Introduction 1.2. A planar diode and the Child-Langmuir law 1.3. The klystron concept 1.4. Charged particle motion in combined electric and magnetic fields (the non-relativistic case) 1.5. Charged particle motion in combined electric and magnetic fields (the

Charged‐particle Optics

It is shown that the correspondence between non relativistic Quantum Mechanics and electromagnetic Wave Optics can be implemented in paraxial approximation with the Particle Beam Transport (optics and dynamics). This is done by introducing the recently proposed

The following of a charged particle via TRANSPORT through a system of magnets is thus analogous to tracing rays through a system of optical lenses. The difference is that TRANSPORT is a matrix calculation which truncates the problem to either first or second-order in a Taylor’s expansion about a central trajectory. Charged Particle Optics is a high-end software application which calculates electrostatic fields and the trajectories of charged particles.

The discussions specifically concentrate on relativistic particle beams and the physics of beam optics in beam transport systems and circular accelerators such as synchrotrons and storage rings. This book is aimed at students and scientists who are interested in an introduction to particle-beam optics and accelerator physics.

  • Graphic Transport Framework by Urs Rohrer
  • First‐ and second‐order charged particle optics
  • OPAL a Versatile Tool for Charged Particle Accelerator Simulations

Since the invention of the alternating gradient principle there has been a rapid evolution of the mathematics and physics techniques applicable to charged particle optics. In this publication we derive a differential equation and a matrix algebra formalism valid to second-order to present the basic principles governing the design of charged particle beam transport systems. A notation Topics introduced include: single-particle motion of charged particles in electric and magnetic fields, sources of charged particles, beam handling and transport, magnetic and electric deflection systems, aberrations of charged particle optical systems, and the mathematics of matrix methods for charged particle optical simulation. •Overview of types and uses of accelerators •Single-pass vs. repetitive systems •Transverse vs. longitudinal motion •Beams and particle distributions •Transverse beam optics

LECTURES BEAM OPTICS CHARGED PARTICLE: BEAM BEAM: CHARGED PARTICLE BEAM TRANSPORT BENDING MAGNET QUADRUPOLE LENS: SPECIAL FOCUSING MAGNETIC FIELD EXPANSION: MULTIPOLE chromaticity: correction

INTRODUCTION When teaching charged particle optics [1–3] for accelera-tors we found that pointing out the correspondence between particle optics and the propagation of measurement uncer-tainties [4] helped the students to better understand the basic concepts. When, at another time, working on experiments where charged particle beams interact with lasers [5,6] we found

2 Ray tracing The motion of charged particles with respect to the \center of the beam pipe“ in an accelerator conceptually resembles the motion of optical rays with respect to the optical axis. In the latter case, a ray at a given longitudinal position s is characterized by its distance x and its angle x0 with respect to the optical axis.

Charged particle dynamics and the theory of charged particle beams combine aspects of classical mechanics, electromagnetic theory, geometrical optics, special relativity, statistical mechanics, and plasma physics. The quantum theory of charged-particle beam transport through a magnetic lens system with a straight optic axis, at the level of single-particle dynamics and disregarding spin (or, when nonzero, assuming it to be an independent spectator degree of freedom), is presented, based on the Schr\\“odinger and Klein-Gordon equations in a form suitable for analyzing the Linear optics measurements and correction for charged particle beams are reviewed, including the historical path, recent trends, and a comparison of different approaches, providing a valuable reference for years to come.

Beam optics and the dynamics of the electron beam guided by an axial magnetic field have been evaluated during beam transport. A triple-check scheme is introduced for precision and accuracy of the design which have not been discussed heretofore in the literature. The designed followed the 2-D simulations in DGUN [11], and EGUN [12 In transverse particle dynamics, we are concerned with the effect of external magnetic fields on the phase space coordinates of a particle or beam. We call the phase space coordinates (u, u’), where (u, u’) can be either (x, x’) or (y, y’). The focusing of charged particles beam passing through the transport system is affected by many parameters and depends on the elements that used in the transport beam systems.

Graphic Transport Framework This modernized and graphic version of a charged particle beam transport code consists mainly of the old CERN/SLAC/FERMILAB version of Transport coded in portable FORTRAN-77 [1] and C for the OS-dependant system calls.

[4] H. Wiedemann, Particle Accelerator Physics : Basic Prin-ciples and Linear Beam Dynamics (Springer-Verlag, Berlin, Heidelberg, 1993) H. Wiedemann, Particle Accelerator Physics II : Nonlinear and Higher-Order Beam Dynamics (Springer-Verlag, Berlin, Heidelberg, 1995) [5] P.W. Hawkes and E. Kasper, Principles of Electron Optics Vol.3: Wave I. INTRODUCTION The simulation and analysis of charged particle beam transport is an important subject in accelerator design and optimization. The increasing interest in high-intensity beams for future accelerator applications presents challenging problems that require one to understand and predict the dynamics of beams subject to complicated external focusing and

Beam-transport codes have been around for as long as thirty years and high-order codes, second-order at least, for close to twenty years. Before this period of design-code development, there was considerable high-order treatment, but it was almost entirely analytical. History has a way of repeating itself, and the current excitement in the field of high-order optics is based on The solution of the linear equations of motion allows us to follow a single charged particle through an arbitrary array of magnetic elements. Often, however, it is necessary to consider a beam of many particles and it would be impractical to calculate the trajectory Over the past several years we have studied in detail the H – beam dynamics to design an efficient low energy beam transport (LEBT) system using simulation codes.

CERN Document Server The most obvious components of particle accelerators and beam transport systems are those that provide the beam guidance and focusing system. Whatever the application may be, a beam of charged particles is expected by design to follow closely a prescribed path along Paraxial optics of charged particles in solenoid magnets with axisymmetric field is considered. Analytic and symplectic transverse maps for charged particle motion through solenoids with 3D magnetic fields have been derived. The formula for transverse maps contains both linear and nonlinear effects caused by entrance and exit fringe fields of the solenoid. The