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%2Fi2002-00319-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

Research output: Contribution to journal › Article › Academic › peer-review

12 Citations (Scopus)

2 Downloads (Pure)

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 language	English
Pages (from-to)	66-71
Journal	Europhysics Letters
Volume	60
Issue number	1
DOIs	https://doi.org/10.1209/epl%2Fi2002-00319-x https://doi.org/10.1209/epl/i2002-00319-x
Publication status	Published - 2002

Access to Document

Fingerprint Dive into the research topics of 'An analytical solution for the Haissinski equation with purely inductive wakefields'. Together they form a unique fingerprint.

Cite this

@article{c9705df89ab34faca64f6b643583c0a7,

title = "An analytical solution for the Haissinski equation with purely inductive wakefields",

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.",

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

year = "2002",

doi = "10.1209/epl%2Fi2002-00319-x",

language = "English",

volume = "60",

pages = "66--71",

journal = "EPL",

issn = "0295-5075",

publisher = "Institute of Physics",

number = "1",

}

TY - JOUR

T1 - An analytical solution for the Haissinski equation with purely inductive wakefields

AU - Thomas, C.A.

AU - Bartolini, R.

AU - Botman, J.I.M.

AU - Dattoli, G.

AU - Mezi, L.

AU - Migliorati, M.

PY - 2002

Y1 - 2002

N2 - 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.

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.

U2 - 10.1209/epl%2Fi2002-00319-x

DO - 10.1209/epl%2Fi2002-00319-x

M3 - Article

VL - 60

SP - 66

EP - 71

JO - EPL

JF - EPL

SN - 0295-5075

IS - 1

ER -