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Welcome to the Charged Particle Acceleration download site.
The text was originally published by John Wiley and Sons (ISBN
0-471-87878-2, QC787.P3H86) in 1986.The unabridged book with all
illustrations has been converted to PDF format for Adobe Acrobat
Reader. The conversion was supported by Los Alamos
National Laboratory. Please send errata and comments to me at humphriess@fieldp.com.
-Stan Humphries
Restrictions
The copyright (US TX 1 827 025) is held by Stanley
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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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