Digital Computer Error Analysis of a Resonant Toroid Charge Monitor
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
A mathematically exact error analysis is performed on an ideal resonant toroid charge monitor for varying beam pulse width, assuming calibration with a known impulse charge. An optimum waveform sampling point is derived from the data, which minimizes the error. The effects of using a rectangular calibration pulse are analyzed, and the error for an impulse beam is calculated as a limiting case of beam charge distribution. Errors for variation in system timing are also analyzed. All computations are performed on a digital computer to obtain the required precision. The results show that a maximum error of ± .012% can be achieved over a pulse width range of 0-2 μsec, with a resonant frequency of 5.25 kRz and a damping time constant of 0.33 msec. Under the same conditions the maximum timing error is about - 0.07%/μsec.
- Research Organization:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Organization:
- US Atomic Energy Commission (AEC); USDOE Office of Science (SC)
- DOE Contract Number:
- AC02-76SF00515
- OSTI ID:
- 1453871
- Report Number(s):
- SLAC-R--100
- Country of Publication:
- United States
- Language:
- English
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