STANFORD'S SUPERCONDUCTING HEAVY ION LINAC STUDY: THE DESIGN OF RE-ENTRANT CAVITIES.

The design of re-entrant cavities for a superconducting heavy ion accelerator is considered using both approximate and numerical analysis. The approximate analysis of the re-entrant cavities provides a surprisingly good estimate of the electrical and mechanical properties and the transit time factor, and thus it is used to determine the general features of the cavity design. The re-entrant cavity is then optimized using numerical calculations. The properties of an optimized 433 MHz re-entrant cavity, including the quality factor, the R//s//h/QL-value, the peak electric field, the peak field ratio, the geometric factor, the transit time factor, and the frequency shift values, are calculated numerically and presented.