An Introduction to Beam Physics
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 particl...
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| Hauptverfasser: | , , |
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| Format: | E-Book Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boca Raton
CRC Press
2014
Taylor & Francis Taylor & Francis Group |
| Ausgabe: | 1 |
| Schriftenreihe: | Series in High Energy Physics, Cosmology and Gravitation |
| Schlagworte: | |
| ISBN: | 9780750302630, 0750302631, 1138198900, 9781138198906, 0429148135, 1000563871, 9781420011821, 1420011820, 9780429148132, 9781000563870 |
| Online-Zugang: | Volltext |
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Inhaltsangabe:
- Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- 1 Beams and Beam Physics -- 1.1 What Is BeamPhysics? -- 1.2 Production of Beams -- 1.2.1 Electron Sources -- 1.2.2 Proton Sources -- 1.2.3 Ion Sources -- 1.3 Acceleration of Beams -- 1.3.1 Electrostatic Accelerators -- 1.3.2 Linear Accelerators -- 1.3.3 Circular Accelerators -- 2 Linear Beam Optics -- 2.1 Coordinates andMaps -- 2.2 Glass Optics -- 2.2.1 The Drift -- 2.2.2 The Thin Lens -- 2.2.3 The ThinMirror -- 2.2.4 Liouville's Theorem for Glass Optics -- 2.3 Special Optical Systems -- 2.3.1 Imaging (Point-to-Point, ) Systems -- 2.3.2 Parallel-to-Point (‖ ) Systems -- 2.3.3 Point-to-Parallel ( ‖) Systems -- 2.3.4 Parallel-to-Parallel (‖ ‖) Systems -- 2.3.5 Combination Systems -- 3 Fields, Potentials and Equations of Motion -- 3.1 Fields with Straight Reference Orbit -- 3.1.1 Expansion in Cylindrical Coordinates -- 3.1.2 Quadrupole Fields -- 3.1.3 Sextupole and Higher Multipole Fields -- 3.1.4 s-Dependent Fields -- 3.2 Fields with Planar Reference Orbit -- 3.2.1 The Laplacian in Curvilinear Coordinates -- 3.2.2 The Potential in Curvilinear Coordinates -- 3.3 The Equations of Motion in Curvilinear Coordinates -- 3.3.1 The Coordinate System and the Independent Variable -- 3.3.2 The Equations of Motion -- 4 The Linearization of the Equations of Motion -- 4.1 The Drift -- 4.2 The Quadrupole without Fringe Fields -- 4.2.1 The Electric Quadrupole -- 4.2.2 The Magnetic Quadrupole -- 4.3 Deflectors -- 4.3.1 The Homogeneous Magnetic Dipole -- 4.3.2 Edge Focusing -- 4.3.3 The Inhomogeneous Sector Magnet -- 4.3.4 The Inhomogeneous Electric Deflector -- 4.4 Round Lenses -- 4.4.1 The Electrostatic Round Lens -- 4.4.2 The Magnetic Round Lens -- 4.5 *Aberration Formulas -- 5 Computation and Properties of Maps -- 5.1 Aberrations and Symmetries -- 5.1.1 Horizontal Midplane Symmetry
- 9.3.3 Other Bunch Compressors -- 10 Synchrotron Motion -- 10.1 RF Fundamentals -- 10.2 The Phase Slip Factor -- 10.3 Longitudinal Dynamics -- 10.4 Transverse Dynamics of RF Cavities -- 11 *Resonances in Repetitive Systems -- 11.1 Integer Resonance -- 11.2 Half-Integer Resonance -- 11.3 Linear Coupling Resonance -- 11.4 Third-Integer Resonance -- References -- Index
- 5.1.2 Double Midplane Symmetry -- 5.1.3 Rotational Symmetry -- 5.1.4 Symplectic Symmetry -- 5.2 Differential Algebras -- 5.2.1 The Structure 1D1 -- 5.2.2 The Structure nDv -- 5.2.3 Functions on Differential Algebras -- 5.3 The Computation of Transfer Maps -- 5.3.1 An Illustrative Example -- 5.3.2 Generation of Maps Using Numerical Integration -- 5.4 Manipulation of Maps -- 5.4.1 Composition of Maps -- 5.4.2 Inversion of Maps -- 5.4.3 Reversion of Maps -- 6 Linear Phase Space Motion -- 6.1 Phase Space Action -- 6.1.1 Drifts and Lenses -- 6.1.2 Quadrupoles and Dipoles -- 6.2 Polygon-like Phase Space -- 6.3 Elliptic Phase Space -- 6.3.1 The Practical Meaning of α, β and γ -- 6.3.2 The Algebraic Relations among the Twiss Parameters -- 6.3.3 The Differential Relations among the Twiss Parameters -- 6.4 *Edwards-Teng Parametrization -- 6.4.1 The Algebraic Relations with Coupling -- 7 Imaging Devices -- 7.1 The Cathode Ray Tube (CRT) -- 7.2 The Camera and the Microscope -- 7.3 Spectrometers and Spectrographs -- 7.3.1 Aberrations and Correction -- 7.3.2 Energy Loss On-Line Isotope Separators -- 7.4 *Electron Microscopes and Their Correction -- 7.4.1 Aberration Correction in SEM, STEM and TEM -- 7.4.2 Aberration Correction in PEEM and LEEM -- 8 The Periodic Transport -- 8.1 The Transversal Motion -- 8.1.1 The Eigenvalues -- 8.1.2 The Invariant Ellipse -- 8.2 Dispersive Effects -- 8.2.1 The Periodic Solution -- 8.2.2 Chromaticity -- 8.3 A Glimpse at Nonlinear Effects -- 9 Lattice Modules -- 9.1 The FODO Cell -- 9.1.1 The FODO Cell Based Achromat -- 9.1.2 The Dispersion Suppressor -- 9.2 Symmetric Achromats -- 9.2.1 The Double-Bend Achromat -- 9.2.2 The Triple-Bend Achromat -- 9.2.3 The Multiple-Bend Achromat -- 9.2.4 The H Function -- 9.3 Special Purpose Modules -- 9.3.1 The Low Beta Insertion -- 9.3.2 The Chicane Bunch Compressor

