Humphries Stanley Jr. Principles of Charged Particle Acceleration

Albuquerque: University of New Mexico, 1999. — 561 p.Particle Dynamics
Charged Particle Properties
Newton's Laws of Motion
Kinetic Energy
Galilean Transformations
Postulates of Relativity
Time Dilation
Lorentz Contraction
Lorentz Transformations
Relativistic Formulas
Non-relativistic Approximation for Transverse Motion
Electric and Magnetic Forces
Forces between Charges and Currents
The Field Description and the Lorentz Force
The Maxwell Equations
Electrostatic and Vector Potentials
Inductive Voltage and Displacement Current
Relativistic Particle Motion in Cylindrical Coordinates
Motion of Charged Particles in a Uniform Magnetic Field
Steady-State Electric and Magnetic Fields
Static Field Equations with No Sources
Numerical Solutions to the Laplace Equation
Analog Met hods to Solve the Laplace Equation
Electrostatic Quadrupole Field
Static Electric Fields with Space Charge
Magnetic Fields in Simple Geometries
Magnetic Potentials
Modification of Electric and Magnetic Fields by Materials
Dielectrics
Boundary Conditions at Dielectric Surfaces
Ferromagnetic Materials
Static Hysteresis Curve for Ferromagnetic Materials
Magnetic Poles
Energy Density of Electric and Magnetic Fields
Magnetic Circuits
Permanent Magnet Circuits
Electric and Magnetic Field Lenses
Transverse Beam Control
Paraxial Approximation for Electric and Magnetic Fields
Focusing Properties of Linear Fields
Lens Properties
Electrostatic Aperture Lens
Electrostatic Immersion Lens
Solenoidal Magnetic Lens
Magnetic Sector Lens
Edge Focusing
Magnetic Quadrupole Lens
Calculation of Particle Orbits in Focusing Fields
Transverse Orbits in a Continuous Linear Focusing Force
Acceptance and P of a Focusing Channel
Betatron Oscillations
Azimuthal Motion of Particles in Cylindrical Beams
The Paraxial Ray Equation
Numerical Solutions of Particle Orbits
Transfer Matrices and Periodic Focusing Systems
Transfer Matrix of the Quadrupole Lens
Transfer Matrices for Common Optical Elements
Combining Optical Elements
Quadrupole Doublet and Triplet Lenses
Focusing in a Thin-Lens Array
Raising a Matrix to a Power
Quadrupole Focusing Channels
Electrostatic Accelerators and Pulsed High Voltage
Resistors, Capacitors, and Inductors
High-Voltage Supplies
Insulation
Van de Graaff Accelerator
Vacuum Breakdown
LRC Circuits
Impulse Generators
Transmission Line Equations in the Time Domain
Transmission Lines as Pulsed Power Modulators
Series Transmission Line Circuits
Pulse-Forming Networks
Pulsed Power Compression
Pulsed Power Switching by Saturable Core Inductors
Diagnostics for Pulsed Voltages and Current
Linear Induction Accelerators
Simple Induction Cavity
Time-Dependent Response of Ferromagnetic Materials
Voltage Multiplication Geometries
Core Saturation and Flux Forcing
Core Reset and Compensation Circuits
Induction Cavity Design: Field Stress and Average Gradient
Coreless Induction Accelerators
Betatrons
Principles of the Betatron
Equilibrium of the Main Betatron Orbit
Motion of the Instantaneous Circle
Reversible Compression of Transverse Particle Orbits
Betatron Oscillations
Electron Injection and Extraction
Betatron Magnets and Acceleration Cycles
Resonant Cavities and Waveguides
Complex Exponential Notation and Impedance
Lumped Circuit Element Analogy for a Resonant Cavity
Resonant Modes of a Cylindrical Cavity
Properties of the Cylindrical Resonant Cavity
Power Exchange with Resonant Cavities
Transmission Lines in the Frequency Domain
Transmission Line Treatment of the Resonant Cavity
Waveguides
Slow-Wave Structures
Dispersion Relationship for the Iris-Loaded Waveguide
Phase Dynamics
Synchronous Particles and Phase Stability
The Phase Equations
Approximate Solution to the Phase Equations
Compression of Phase Oscillations
Longitudinal Dynamics of Ions in a Linear Induction Accelerator
Phase Dynamics of Relativistic Particles
Radio-Frequency Linear Accelerators
Electron Linear Accelerators
Linear Ion Accelerator Configurations
Coupled Cavity Linear Accelerators
Transit-Time Factor, Gap Coefficient and Radial Defocusing
Vacuum Breakdown in rf Accelerators
Radio-Frequency Quadrupole
Racetrack Microtron
Cyclotrons and Synchrotrons
Principles of the Uniform-Field Cyclotron
Longitudinal Dynamics of the Uniform-Field Cyclotron
Focusing by Azimuthally Varying Fields (AVF)
The Synchrocyclotron and the AVF Cyclotron
Principles of the Synchrotron
Longitudinal Dynamics of Synchrotrons
Strong Focusing