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Neutrino Factory/Muon Collider Document 38-v1

Space Charge in Gaussian Beams: A collection of formulas

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Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
06 Aug 1999, 12:00
Contents Revised:
06 Aug 1999, 12:00
Metadata Revised:
06 Aug 1999, 12:00
Actually Revised:
14 Sep 2006, 13:35
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We give a short derivation of the well known expressions for the electric
fields produced by beams with Gaussian distributions in all three directions. This is a revised version. Previous expressions were restricted to the case of longitudinal size of the beam larger than the radius; the new expressions cover the whole range of values. Only formulas below equation 11 has been changed as well as the figures.

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This is revision # 1
Posted by gallardo

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Notes and Changes:
Juan C. Gallardo
Publication Information:
BNL-MUMU- Technical Note
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