Particle Accelerator Physics II : Nonlinear and Higher-Order Beam Dynamics

Particle Accelerator Physics II continues the discussion of particle accelerator physics beyond the introductory Particle Accelerator Physics I. Aimed at students and scientists who plan to work or are working in the field of accelerator physics. Basic principles of beam dynamics already discussed i...

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Main Author: Wiedemann, H.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:2nd ed. 1999
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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
  • Suggested Reading
  • Author Index
  • 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
  • 10.5 Coasting-Beam Instabilities
  • 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
  • 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
  • 5.3 Hamiltonian Perturbation Theory
  • Problems