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An Introduction to Beam Physics

By Martin Berz, Kyoko Makino, Weishi Wan

CRC Press – 2014 – 314 pages

Series: Series in High Energy Physics, Cosmology and Gravitation

Purchasing Options:

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    978-0-7503-0263-0
    November 11th 2014
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Description

An Introduction to Beam Physics covers the principles and applications of differential algebra, a powerful new mathematical tool. The authors discuss the uses for the computation of transfer maps for all kinds of particle accelerators or any weakly nonlinear dynamical system, such as planetary orbits. The book is of interest to graduate students and researchers working in a broad range of disciplines, including applied mathematics, beam physics (accelerator physics, particle optics, geometric light optics), astronomy, and electrical engineering. Topics covered include transfer matrices, mechanics and electrodynamics, nonlinear motion, differential algebra, the structure of the classes, computer implementations, nonlinear maps, one pass systems, and repetitive systems.

Contents

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 α, β, γ

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

Name: An Introduction to Beam Physics (Hardback)CRC Press 
Description: By Martin Berz, Kyoko Makino, Weishi Wan. An Introduction to Beam Physics covers the principles and applications of differential algebra, a powerful new mathematical tool. The authors discuss the uses for the computation of transfer maps for all kinds of particle accelerators or any weakly...
Categories: Materials Science, Computational Physics, Particle & High Energy Physics, Atomic & Nuclear Physics, Mathematical Physics