Gaussian approximation of the bunch lengthening in electron storage rings with a typical wake function

Physical Review Special Topics - Accelerators and Beams

Volumn 8, Issue 7, 2005, Pages 1-6

  Petracca, S ^a,b   Demma, Th ^a,b   Hirata, K ^c  

^a UNIVERSITY OF SANNIO   (Italy)

^b INFN SEZIONE DI ROMA   (Italy)

^c GRADUATE UNIVERSITY FOR ADVANCED STUDIES   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24644475186     PISSN: 10984402     EISSN: 10984402     Source Type: Journal    
DOI: 10.1103/PhysRevSTAB.8.074401     Document Type: Article

References (18)

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16. Equation (3.12) is most readily established by noting that A = exp(-1)/5 at the border of the convergency circle of (3.10), and using the corresponding maximum of AS = exp(-1) in (3.11) to enforce (3.4).
17. 11 coincides with the rms width of the longitudinal profile of the Gaussian approximation solution.
18. ′ wakes, which eventually makes them inefficient.