Site perso : Emmanuel Branlard
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| FERMI NATIONAL | ECOLE NATIONNALE SUPÈRIEURE | INSTITUT SUPÈRIEUR |
| ACCELERATOR LABORATORY | DE L'AÉRONAUTIQUE ET DE L'ESPACE | DE L'AÉRONAUTIQUE ET DE L'ESPACE |
On the implementation of a 3D space charge algorithm
to understand and further study the physics of linear accelerators
Emmanuel Branlard
August 2009
- Contents
- List of Tables
- List of Figures
- 1 A quick introduction to beam physics
- 1. Quick memo on electromagnetism and special relativity
- 2. Beam dynamics - linear formalism
- 3. Phase space and matrix formalism
- 2 Implementation of the space charge algorithm
- 4. On the implementation of a 3D algorithm in Astra
- 5. Space Charge calculation
- 3 On the benchmarking of the space charge algorithm
- 6. Benchmarking of the stand alone space charge algorithm without rotation
- 7. Rms field values - Simulation vs. theory
- 8. Benchmarking of the stand alone space charge algorithm with rotation
- 9. Including our algorithm in Astra - Modifications done and problem encountered
- 4 Study of different components found in particle accelerator
- 10. Drift
- 11. Dipoles
- 12. Compressors
- 13. Emittance exchanger
- 14. Study of a cavity
- 5 Preliminary steps for the simulation of full accelerators line
- Part : Annexes
- A. Documentation of R scripts
- B. Jacobi diagonalization of a symmetric matrix
- C. The use of Green function for solving differential equations
- D. A0 line full lattice geometry and coordinates
- E. More exemples of the rotation algorithm benchmarking
- Definition and 1st derivative of trigonometric and hyperbolic functions
- G. Longitudinal space charge - Theory vs. Simulation
- H. Astra input files for the two accelerator lines
- I. Versions history of the 3d space charge algorithm
- Bibliography
