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An Introduction to Beam Physics : Series in High Energy Physics, Cosmology and Gravitation - Martin Berz

An Introduction to Beam Physics

Series in High Energy Physics, Cosmology and Gravitation

Hardcover Published: 4th December 2014
ISBN: 9780750302630
Number Of Pages: 324

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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 and Potentials 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 Electric Quadrupole without Fringe Field The Magnetic Quadrupole without Fringe Field The Homogeneous Magnetic Dipole The Inhomogeneous Sector The Inhomogeneous Electric Deflector Electrostatic Round Lenses Magnetic Round Lenses Computation and Manipulation of Maps: Differential Algebraic Technique The Map and its Aberrations Differential Algebras Important Functions on Differential Algebras The Implementation of Differential Algebra on a Computer The Computation of Transfer Maps Manipulation of Maps Symmetry Properties of the Transfer Maps Horizontal Midplane Symmetry Double Midplane Symmetry Rotational Symmetry Symplectic Symmetry Imaging Devices The Cathode Ray Tube (CRT) The Camera, the Electron Microscope The Spectrometers and Spectrographs The Periodic Transport The Invariant Ellipse Dispersion: Periodic Solution A Glimpse at Nonlinear Effects Linear Phase Space Motion Phase Space Action of Drifts and Lenses Phase Space Action of Quads and Dipoles Polygon-like Phase Space Elliptic Phase Space Practical Meaning of I , I , I The Relations among The Twiss Parameters Chromaticity The Explicit Transformation of the Ellipse Invariant Ellipses versus Beam Ellipses Lattice Modules Weak and Strong Focusing FODO Cells Dispersion Suppressor Double and Triple Bend Achromats The Low Beta Insertion Chicane Bunch Compressor Resonances in Rings Integer Resonance Half-Integer Resonance Linear Coupling Resonance Third-Integer Resonance Synchrotron Motion RF Fundamentals Phase Slip Factor Longitudinal Dynamics Appendix A: Edwards-Teng Parametrization Appendix B: Aberration Formulas References

ISBN: 9780750302630
ISBN-10: 0750302631
Series: Series in High Energy Physics, Cosmology and Gravitation
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 324
Published: 4th December 2014
Publisher: Taylor & Francis Ltd
Country of Publication: GB
Dimensions (cm): 23.5 x 16.51  x 2.54
Weight (kg): 0.59
Edition Number: 1