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

doi:10.1209/epl/i2002-00319-x

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

Coherence and Quantum Technology

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

14 Citaten (Scopus)

2 Downloads (Pure)

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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.

Originele taal-2	Engels
Pagina's (van-tot)	66-71
Tijdschrift	Europhysics Letters
Volume	60
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1209/epl/i2002-00319-x
Status	Gepubliceerd - 2002

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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.",

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AU - Migliorati, M.

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AB - 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.

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An analytical solution for the Haissinski equation with purely inductive wakefields

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