Formal solution for the fields within a beam-bug calibrator

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Description

For some time I was bothered by the fact that measurements of offsets in the various bug calibration setups never agreed with the simple formulae (2) used for determining electron beam position in the Livermore induction linacs and transport systems. About 1983 I realized that the discrepancy arises from the way the bug calibrator simulates an electron beam in a conducting pipe. At that time I solved the problem using the method presented here. Unfortunately, I did not write it up at that time. After considerable effort, I was able to repeat the calculation. Since I have little confidence that ... continued below

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110 Kilobytes

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Fessenden, T J July 13, 1998.

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Description

For some time I was bothered by the fact that measurements of offsets in the various bug calibration setups never agreed with the simple formulae (2) used for determining electron beam position in the Livermore induction linacs and transport systems. About 1983 I realized that the discrepancy arises from the way the bug calibrator simulates an electron beam in a conducting pipe. At that time I solved the problem using the method presented here. Unfortunately, I did not write it up at that time. After considerable effort, I was able to repeat the calculation. Since I have little confidence that after a few years I could ever do it again, I felt obliged to write it up in some detail. Our beam bug calibrator consists of two conducting cylinders, nominally concentric, that simulate the electron beam within a drift tube. The radii of the larger cylinder is 2.3 times that of the smaller giving an electrical impedance of 50 Ohms to the coaxial combination. To simulate a beam off-axis within a drift tube, the inner tube is moved relative to the outer tube. This only approximately simulates the motion of a beam because the surface current on the inner tube redistributes in response to the translation. Fortunately, the fields of the translated inner cylinder can be found exactly using complex variable theory (1).

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110 Kilobytes

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  • Other: DE00008054
  • Report No.: UCRL-ID-133135
  • Grant Number: W-7405-Eng-48
  • DOI: 10.2172/8054 | External Link
  • Office of Scientific & Technical Information Report Number: 8054
  • Archival Resource Key: ark:/67531/metadc736484

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  • July 13, 1998

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  • Oct. 18, 2015, 6:40 p.m.

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  • May 6, 2016, 11:19 p.m.

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Fessenden, T J. Formal solution for the fields within a beam-bug calibrator, report, July 13, 1998; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc736484/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.