1st Edition

An Introduction to Beam Physics

By Martin Berz, Kyoko Makino, Weishi Wan Copyright 2015
    314 Pages 114 B/W Illustrations
    by CRC Press

    324 Pages 114 B/W Illustrations
    by CRC Press

    The field of beam physics touches many areas of physics, engineering, and the sciences. In general terms, beams describe ensembles of particles with initial conditions similar enough to be treated together as a group so that the motion is a weakly nonlinear perturbation of a chosen reference particle. Particle beams are used in a variety of areas, ranging from electron microscopes, particle spectrometers, medical radiation facilities, powerful light sources, and astrophysics to large synchrotrons and storage rings such as the LHC at CERN.

    An Introduction to Beam Physics is based on lectures given at Michigan State University’s Department of Physics and Astronomy, the online VUBeam program, the U.S. Particle Accelerator School, the CERN Academic Training Programme, and various other venues. It is accessible to beginning graduate and upper-division undergraduate students in physics, mathematics, and engineering. The book begins with a historical overview of methods for generating and accelerating beams, highlighting important advances through the eyes of their developers using their original drawings. The book then presents concepts of linear beam optics, transfer matrices, the general equations of motion, and the main techniques used for single- and multi-pass systems. Some advanced nonlinear topics, including the computation of aberrations and a study of resonances, round out the presentation.

    Beams and Beam Physics
    What Is Beam Physics
    Production of Beams
    Acceleration of Beams

    Linear Beam Optics
    Coordinates and Maps
    Glass Optics
    Special Optical Systems

    Fields, Potentials and Equations of Motion
    Fields with Straight Reference Orbit
    Fields with Planar Reference Orbit
    The Equations of Motion in Curvilinear Coordinates

    The Linearization of the Equations of Motion
    The Drift
    The Quadrupole without Fringe Fields 
    Round Lenses
    Aberration Formulas

    Computation and Properties of Maps
    Aberrations and Symmetries
    Differential Algebras
    The Computation of Transfer Maps
    Manipulation of Maps

    Linear Phase Space Motion
    Phase Space Action
    Polygon-like Phase Space
    Elliptic Phase Space
    Edwards-Teng Parametrization

    Imaging Devices
    The Cathode Ray Tube (CRT)
    The Camera and the Microscope
    Spectrometers and Spectrographs
    Electron Microscopes and Their Correction

    The Periodic Transport
    The Transversal Motion
    Dispersive Effects
    A Glimpse at Nonlinear Effects

    Lattice Modules
    The FODO Cell
    Symmetric Achromats
    Special Purpose Modules

    Synchrotron Motion
    RF Fundamentals
    The Phase Slip Factor
    Longitudinal Dynamics
    Transverse Dynamics of RF Cavities

    Resonances in Repetitive Systems
    Integer Resonance
    Half-Integer Resonance
    Linear Coupling Resonance
    Third-Integer Resonance




    Martin Berz, Kyoko Makino, Weishi Wan