Study of electron ring formation and equilibrium
Abstract
The single-particle behavior of electrons in the ERA field geometry was studied in terms of the compressed ring axial velocity and orbit off-centering. Analytic equations were developed to include the effects of the cusped magnetic field, a centering coil, as well as an adiabatic compression field. The results are compared with experiment and the results of numerical integration. The axial deceleration of a thin electron ring by a resistive-wire loop was studied both analytically and numerically. For axially-extended beams, numerical simulation methods were used to show the feasibility of trapping part of the beam to form an electron ring, using a mirror-field geometry and resistive-wire loops. The equations relating the equilibrium electron ring major radius, kinetic energy and rotation frequency to the parameters at injection are derived in a Vlasov and fluid description of the ring. The equations are solved using the calculated bias field of the ring for two ring formation schemes of interest. A two-fluid model was used to calculate the electron-ion radial separation in the ring as well as the bias field term for the electron-ion dipole resonance.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- December 1975
- Bibcode:
- 1975PhDT........24K
- Keywords:
-
- Electron Beams;
- Equilibrium Equations;
- Storage Rings (Particle Accelerators);
- Adiabatic Conditions;
- Axial Compression Loads;
- Computerized Simulation;
- Kinetic Energy;
- Magnetic Fields;
- Numerical Integration;
- Nuclear and High-Energy Physics