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Title: Beam emittance calculation in the presence of an axially symmetric magnetic field

Abstract

The Fermilab electron cooling project requires low transverse electron velocities (both coherent and incoherent) in the solenoidal cooling section. One of the possible reasons for an increase of these velocities is aberrations introduced by optical elements in the axially symmetric portion of the beam channel (first of all, in the acceleration tube) preceding the cooling section. Most of these optical elements can be treated as thin lenses so that the aberrations can be characterized by an increase of an effective beam emittance as a function of the beam radius in this element. The goal of this note is to formulate a method that would allow to correctly estimate these aberrations in the presence of linear coupling and a non-zero longitudinal magnetic field at the cathode. This is of particular interest for electron beam simulation programs that are employed to optimize beam transport in the presence of a varying longitudinal magnet field.

Authors:
Publication Date:
Research Org.:
Fermi National Accelerator Lab., Batavia, IL (US)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
754860
Report Number(s):
FERMILAB-TM-2107
TRN: US0002393
DOE Contract Number:  
AC02-76CH03000
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 15 May 2000
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; FERMILAB ACCELERATOR; ELECTRON COOLING; BEAM OPTICS; BEAM EMITTANCE; ELECTRON BEAMS; BEAM TRANSPORT; MAGNETIC FIELDS

Citation Formats

Sergei Nagaitsev and Alexander Shemyakin. Beam emittance calculation in the presence of an axially symmetric magnetic field. United States: N. p., 2000. Web. doi:10.2172/754860.
Sergei Nagaitsev and Alexander Shemyakin. Beam emittance calculation in the presence of an axially symmetric magnetic field. United States. doi:10.2172/754860.
Sergei Nagaitsev and Alexander Shemyakin. Mon . "Beam emittance calculation in the presence of an axially symmetric magnetic field". United States. doi:10.2172/754860. https://www.osti.gov/servlets/purl/754860.
@article{osti_754860,
title = {Beam emittance calculation in the presence of an axially symmetric magnetic field},
author = {Sergei Nagaitsev and Alexander Shemyakin},
abstractNote = {The Fermilab electron cooling project requires low transverse electron velocities (both coherent and incoherent) in the solenoidal cooling section. One of the possible reasons for an increase of these velocities is aberrations introduced by optical elements in the axially symmetric portion of the beam channel (first of all, in the acceleration tube) preceding the cooling section. Most of these optical elements can be treated as thin lenses so that the aberrations can be characterized by an increase of an effective beam emittance as a function of the beam radius in this element. The goal of this note is to formulate a method that would allow to correctly estimate these aberrations in the presence of linear coupling and a non-zero longitudinal magnetic field at the cathode. This is of particular interest for electron beam simulation programs that are employed to optimize beam transport in the presence of a varying longitudinal magnet field.},
doi = {10.2172/754860},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2000},
month = {5}
}

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