Welcome to the Principles of Charged Particle Acceleration site.
The text was originally published by John Wiley and Sons (ISBN
0-471-87878-2, QC787.P3H86) in 1986.
Download link: ChrgPartAccel.pdf
Table of contents
1. Introduction
2. Particle Dynamics
- 2.1. Charged Particle Properties
- 2.2. Newton's Laws of Motion
- 2.3. Kinetic Energy
- 2.4. Galilean Transformations
- 2.5. Postulates of Relativity
- 2.6. Time Dilation
- 2.7. Lorentz Contraction
- 2.8. Lorentz Transformations
- 2.9. Relativistic Formulas
- 2.10. Non-relativistic Approximation for Transverse Motion
3. Electric and Magnetic Forces
- 3.1. Forces between Charges and Currents
- 3.2. The Field Description and the Lorentz Force
- 3.3. The Maxwell Equations
- 3.4. Electrostatic and Vector Potentials
- 3.5. Inductive Voltage and Displacement Current
- 3.6. Relativistic Particle Motion in Cylindrical Coordinates
- 3.7. Motion of Charged Particles in a Uniform Magnetic Field
4. Steady-State Electric and Magnetic Fields
- 4.1. Static Field Equations with No Sources
- 4.2. Numerical Solutions to the Laplace Equation
- 4.3. Analog Met hods to Solve the Laplace Equation
- 4.4. Electrostatic Quadrupole Field
- 4.5. Static Electric Fields with Space Charge
- 4.6. Magnetic Fields in Simple Geometries
- 4.7. Magnetic Potentials
5. Modification of Electric and Magnetic Fields by Materials
- 5.1. Dielectrics
- 5.2. Boundary Conditions at Dielectric Surfaces
- 5.3. Ferromagnetic Materials
- 5.4. Static Hysteresis Curve for Ferromagnetic Materials
- 5.5. Magnetic Poles
- 5.6. Energy Density of Electric and Magnetic Fields
- 5.7. Magnetic Circuits
- 5.8. Permanent Magnet Circuits
6. Electric and Magnetic Field Lenses
- 6.1. Transverse Beam Control
- 6.2. Paraxial Approximation for Electric and Magnetic Fields
- 6.3. Focusing Properties of Linear Fields
- 6.4. Lens Properties
- 6.5. Electrostatic Aperture Lens
- 6.6. Electrostatic Immersion Lens
- 6.7. Solenoidal Magnetic Lens
- 6.8. Magnetic Sector Lens
- 6.9. Edge Focusing
- 6.10. Magnetic Quadrupole Lens
7. Calculation of Particle Orbits in Focusing Fields
- 7.1. Transverse Orbits in a Continuous Linear Focusing Force
- 7.2. Acceptance and P of a Focusing Channel
- 7.3. Betatron Oscillations
- 7.4. Azimuthal Motion of Particles in Cylindrical Beams
- 7.5. The Paraxial Ray Equation
- 7.6. Numerical Solutions of Particle Orbits
8. Transfer Matrices and Periodic Focusing Systems
- 8.1. Transfer Matrix of the Quadrupole Lens
- 8.2. Transfer Matrices for Common Optical Elements
- 8.3. Combining Optical Elements
- 8.4. Quadrupole Doublet and Triplet Lenses
- 8.5. Focusing in a Thin-Lens Array
- 8.6. Raising a Matrix to a Power
- 8.7. Quadrupole Focusing Channels
9. Electrostatic Accelerators and Pulsed High Voltage
- 9.1. Resistors, Capacitors, and Inductors
- 9.2. High-Voltage Supplies
- 9.3. Insulation
- 9.4. Van de Graaff Accelerator
- 9.5. Vacuum Breakdown
- 9.6. LRC Circuits
- 9.7. Impulse Generators
- 9.8. Transmission Line Equations in the Time Domain
- 9.9. Transmission Lines as Pulsed Power Modulators
- 9.10. Series Transmission Line Circuits
- 9.11. Pulse-Forming Networks
- 9.12. Pulsed Power Compression
- 9.13. Pulsed Power Switching by Saturable Core Inductors
- 9.14. Diagnostics for Pulsed Voltages and Current
10. Linear Induction Accelerators
- 10.1. Simple Induction Cavity
- 10.2. Time-Dependent Response of Ferromagnetic Materials
- 10.3. Voltage Multiplication Geometries
- 10.4. Core Saturation and Flux Forcing
- 10.5. Core Reset and Compensation Circuits
- 10.6. Induction Cavity Design: Field Stress and Average Gradient
- 10.7. Coreless Induction Accelerators
11. Betatrons
- 11.1. Principles of the Betatron
- 11.2. Equilibrium of the Main Betatron Orbit
- 11.3. Motion of the Instantaneous Circle
- 11.4. Reversible Compression of Transverse Particle Orbits
- 11.5. Betatron Oscillations
- 11.6. Electron Injection and Extraction
- 11.7. Betatron Magnets and Acceleration Cycles
12. Resonant Cavities and Waveguides
- 12.1. Complex Exponential Notation and Impedance
- 12.2. Lumped Circuit Element Analogy for a Resonant Cavity
- 12.3. Resonant Modes of a Cylindrical Cavity
- 12.4. Properties of the Cylindrical Resonant Cavity
- 12.5. Power Exchange with Resonant Cavities
- 12.6. Transmission Lines in the Frequency Domain
- 12.7. Transmission Line Treatment of the Resonant Cavity
- 12.8. Waveguides
- 12.9. Slow-Wave Structures
- 12.10. Dispersion Relationship for the Iris-Loaded Waveguide
13. Phase Dynamics
- 13.1. Synchronous Particles and Phase Stability
- 13.2. The Phase Equations
- 13.3. Approximate Solution to the Phase Equations
- 13.4. Compression of Phase Oscillations
- 13.5. Longitudinal Dynamics of Ions in a Linear Induction Accelerator
- 13.6. Phase Dynamics of Relativistic Particles
14. Radio-Frequency Linear Accelerators
- 14.1. Electron Linear Accelerators
- 14.2. Linear Ion Accelerator Configurations
- 14.3. Coupled Cavity Linear Accelerators
- 14.4. Transit-Time Factor, Gap Coefficient and Radial Defocusing
- 14.5. Vacuum Breakdown in rf Accelerators
- 14.6. Radio-Frequency Quadrupole
- 14.7. Racetrack Microtron
15. Cyclotrons and Synchrotrons
- 15.1. Principles of the Uniform-Field Cyclotron
- 15.2. Longitudinal Dynamics of the Uniform-Field Cyclotron
- 15.3. Focusing by Azimuthally Varying Fields (AVF)
- 15.4. The Synchrocyclotron and the AVF Cyclotron
- 15.5. Principles of the Synchrotron
- 15.6. Longitudinal Dynamics of Synchrotrons
- 15.7. Strong Focusing
Bibliography
Index
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