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Nonlinear transverse-electron-beam dynamics in a modified betatron accelerator. Memorandum report

Technical Report ·
OSTI ID:5892392
The transverse-electron-beam dynamics in a modified betatron accelerator is studied using a new approach. This approach is based on the two exact constants of the motion and the potentials at the center of the beam. The main advantage of the present technique is that the ring orbits can be accurately determined over the entire minor cross-section of the torus and not only near the minor axis. Results indicate that the electron-ring orbits, in the plane transverse to the toroidal magnetic field, always close inside the vacuum chamber and their topology is often substantially different than that predicted from the linear theory.
Research Organization:
Naval Research Lab., Washington, DC (USA)
OSTI ID:
5892392
Report Number(s):
AD-A-148106/8/XAB; NRL-MR-5387
Country of Publication:
United States
Language:
English