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Energy-loss of bunched beams in SSC (Superconducting Super Collider) RF cavities

Conference ·
OSTI ID:6704899
 [1];  [2];  [3]
  1. Lawrence Berkeley Lab., CA (USA). SSC Central Design Group
  2. Los Alamos National Lab., NM (USA)
  3. European Organization for Nuclear Research, Geneva (Switzerland). LEP Div.
A bunched beam that is accelerated by the fundamental resonant mode of RF cavities necessarily loses energy by exciting the higher-order modes of these very cavities. We consider here the calculation of the power lost by gaussian bunches traversing a structure with resonator impedance of arbitrary quality factor. Known formulas are used for the infinite summations, which reduce to other approximate ones for the broad-band case. For the narrow-band case we present a simple analytic expression. We apply our results to calculate the power lost to the higher-order modes of the SSC RF cavities. Our conclusion is that if the resonant frequencies of all higher-order modes of the cavities are sufficiently far from integral multiples of the bunch frequency, the energy loss is strongly reduced over that calculated by a simple broad-band model; but if this condition is not satisfied, then the resulting resonant loss for even a weak mode may be several orders of magnitude greater than the broad-band calculation. 8 refs.
Research Organization:
Lawrence Berkeley Lab., CA (USA). SSC Central Design Group
Sponsoring Organization:
DOE/ER
DOE Contract Number:
AC02-89ER40486
OSTI ID:
6704899
Report Number(s):
SSC-116; CONF-870302--268; ON: DE90014560
Country of Publication:
United States
Language:
English