Analytical methods of electrode design for a relativistic electron gun
Abstract
The paraxial approximation is used to derive a differential equation for the applied potential in a relativistic electron gun. The equation incorporates the effects of the beam's own azimuthal magnetic field. The equation is applied to the cases of a parallel beam and an exponentially converging beam. When the paraxial approximation is valid, the solutions provide reasonably accurate results in terms of expected current and axial placement of electrodes.
- Publication:
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Presented at the Particle Accelerator Conference
- Pub Date:
- May 1985
- Bibcode:
- 1985paac.confQQ...C
- Keywords:
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- Electrodes;
- Electron Guns;
- Relativistic Electron Beams;
- Approximation;
- Design Analysis;
- Magnetic Effects;
- Nuclear and High-Energy Physics