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Particle Accelerator Physics II Nonlinear and Higher-Order Beam Dynamics

This text is a continuation of the first volume of "Particle Accelerator Physics" on "Basic Principles and Linear Beam Dynamics". While the first volume was written as an introductory overview into beam dynamics, it does not include more detailled discussion of nonlinear and high...

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Bibliographic Details
Main Author: Wiedemann, Helmut
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1995, 1995
Edition:1st ed. 1995
Subjects:
Particle Acceleration And Detection, Beam Physics
Photonics
Lasers
Optics, Lasers, Photonics, Optical Devices
Particle Acceleration
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 5.3 Hamiltonian Perturbation Theory
  • Problems
  • 6. Charged Particle Acceleration
  • 6.1 Accelerating Fields in Resonant rf Cavities
  • 6.2 Beam-Cavity Interaction
  • 6.3 Higher-Order Phase Focusing
  • 6.4 FODO Lattice and Acceleration
  • Problems
  • 7 Synchrotron Radiation
  • 7.1 Theory of Synchrotron Radiation
  • 7.2 Synchrotron Radiation Power and Energy Loss
  • 7.3 Spatial Distribution of Synchrotron Radiation
  • 7.4 Synchrotron Radiation Spectrum
  • Problems
  • 8. Hamiltonian Many-Particle Systems
  • 8.1 The Vlasov Equation
  • 8.2 Damping of Oscillations in Electron Accelerators
  • 8.3 The Fokker-Planck Equation
  • Problems
  • 9. Particle Beam Parameters
  • 9.1 Particle Distribution in Phase Space
  • 9.2 Equilibrium Energy Spread and Bunch Length
  • 9.3 Phase-Space Manipulation
  • 9.4 Polarization of Particle Beam
  • Problems
  • 10. Collective Phenomena
  • 10.1 Statistical Effects
  • 10.2 Collective Self Fields
  • 10.3 Beam-Current Spectrum
  • 10.4 Wake Fields and Impedance -
  • 1. Hamiltonian Formulation of Beam Dynamics
  • 1.1 Hamiltonian Formalism
  • 1.2 Hamiltonian Resonance Theory
  • 1.3 Hamiltonian and Coupling
  • 1.4 Symplectic Transformation
  • Problems
  • 2. General Electromagnetic Fields
  • 2.1 General Transverse Magnetic-Field Expansion
  • 2.2 Third-Order Differential Equation of Motion
  • 2.3 Periodic Wiggler Magnets
  • 2.4 Superconducting Magnet
  • Problems
  • 3. Dynamics of Coupled Motion
  • 3.1 Conjugate Trajectories
  • 3.2 Particle Motion in a Solenoidal Field
  • 3.3 Transverse Coupled Oscillations
  • 3.3.5 Betatron Functions for Coupled Motion
  • Problems
  • 4. Higher-Order Perturbations
  • 4.1 Kinematic Perturbation Terms
  • 4.2 Control of the Central Beam Path
  • 4.3 Dipole Field Errors and Dispersion Function
  • 4.4 Dispersion Function in Higher Order
  • 4.5 Perturbation Methods in Beam Dynamics
  • Problems
  • 5. Hamiltonian Nonlinear Beam Dynamics
  • 5.1 Higher-Order Beam Dynamics
  • 5.2 Aberrations
  • 10.5 Coasting-Beam Instabilities
  • 10.6 Longitudinal Single-Bunch Effects
  • 10.7 Transverse Single-Bunch Instabilities
  • 10.8 Multi-Bunch Instabilities
  • Problems
  • 11. Insertion Device Radiation
  • 11.1 Particle Dynamics in an Undulator
  • 11.2 Undulator Radiation
  • 11.3 Undulator Radiation Distribution
  • 11.4 Elliptical Polarization
  • Problems
  • References
  • Author Index

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