An analytical solution for the Haissinski equation with purely inductive wakefields

C.A. Thomas, R. Bartolini, J.I.M. Botman, G. Dattoli, L. Mezi, M. Migliorati

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)
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Abstract

The static solution of the Fokker-Planck equation, known as the Haissinski equation and governing the longitudinal evolution of an electron beam moving in a Storage-Ring which is subject to an inductive wake field, can be expressed in an analytical form, using the Lambert W-function. We show how the use of this analytical tool allows a better understanding of the validity of the numerical solutions and the distribution normalization properties.
Original languageEnglish
Pages (from-to)66-71
JournalEurophysics Letters
Volume60
Issue number1
DOIs
Publication statusPublished - 2002

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