عنوان

Particle Accelerator Physics II :

0387575642

3540575642

364297550X

9780387575643

9783540575641

9783642975509

b576752

Particle Accelerator Physics II :

[Book]

Nonlinear and Higher-Order Beam Dynamics

by Helmut Wiedemann.

Berlin, Heidelberg

Springer Berlin Heidelberg

1995

(xvi, 464 pages 118 illustrations)

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 --; 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 --; 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.

This volume continues the discussion of particle accelerator physics beyond the introduction in Vol I. It is specially aimed at the graduate student and scientist planning to work or working in the field of accelerator physics. Basic principles of beam dynamics already discussed in Vol. I, are expanded into the nonlinear regime in order to tackle fundamental problems encountered in present day accelerator design and development. Nonlinear dynamics is discussed both for the transverse phase space to determine chromatic and geometric aberrations which limit the dynamic aperture as well as for the longitude phase space in connection with phase focusing at very small values of the momentum compaction. Whenever possible, effects derived theoretically are compared with observations made at existing accelerators.

Particle acceleration.

Physics.

by Helmut Wiedemann.

Helmut Wiedemann

[Book]

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