PIP-II Document 1100-v2

Transit Time Factor of a Multi-cell Standing Wave Cavity

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Document type:
Tech Note
Submitted by:
Jean-Francois Ostiguy
Updated by:
Jean-Francois Ostiguy
Document Created:
06 Sep 2017, 14:22
Contents Revised:
13 Sep 2017, 17:55
Metadata Revised:
13 Sep 2017, 17:55
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06 Sep 2017, 14:22
The PIP-II Technical Design Report makes use of a formula for the (on-axis) transit-time factor of a multi-cell cavity. This brief note documents a derivation of this formula; the motivation is that such formulae tend to be given without proof in the literature. Adding to the confusion, the formula as provided by a standard reference is incorrect as it applies only to a single cell, not to a multi-cell structure.
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Notes and Changes:
Corrected erroneous statement about single cell with sinusoidal profile.
Corrected misc typos.
Added a few clarifications.
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