Longitudinal and Transverse Impedances and Shielding Effectiveness of a Resistive Beam Pipe for Arbitrary Energy and Frequency
Abstract
The longitudinal coupling impedance of a cylindrical beam pipe for arbitrary relativistic energy and mode frequency is obtained analytically for finite wall conductivity and finite wall thickness. Closed form expressions for the electromagnetic fields excited by a beam perturbation are derived analytically. General expressions for the resistivewall impedance in the presence of a metallic shield and for the rf shielding effectiveness of the beam pipe have been obtained. The results are applied to the GSI synchrotron SIS, where the thickness of the vacuum chamber in the dipole magnets is much smaller than the skin depth at injection energy.In addition, the transverse spacecharge and resistivewall impedances have been investigated analytically of a smooth cylindrical beam pipe of finite conductivity. Transverse beam charge distributions of a hollow beam and of a uniform beam are considered yielding different results. Closed form expressions for the excited electromagnetic fields in the beampipewall regions and for the corresponding total transverse impedance can be derived analytically for high energy beams.
 Authors:

 Department of Physics, Faculty of Science, Yarmouk University, Irbid (Jordan)
 GSI Darmstadt, Planckstr. 1, D64291 Darmstadt (Germany)
 Publication Date:
 OSTI Identifier:
 20722800
 Resource Type:
 Journal Article
 Journal Name:
 AIP Conference Proceedings
 Additional Journal Information:
 Journal Volume: 773; Journal Issue: 1; Conference: 33. ICFA advanced beam dynamics workshop on high intensity and high brightness hadron beams, Bensheim (Germany), 1822 Oct 2004; Other Information: DOI: 10.1063/1.1949565; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094243X
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 43 PARTICLE ACCELERATORS; BEAM INJECTION; CHARGE DISTRIBUTION; COUPLING; CYLINDRICAL CONFIGURATION; DIPOLES; ELECTRIC CONDUCTIVITY; ELECTRIC IMPEDANCE; ELECTROMAGNETIC FIELDS; MAGNETS; PARTICLE BEAMS; RELATIVISTIC RANGE; SHIELDING; SPACE CHARGE; SYNCHROTRONS
Citation Formats
Alkhateeb, A M, BoineFrankenheim, O, Hasse, R W, and Hofmann, I. Longitudinal and Transverse Impedances and Shielding Effectiveness of a Resistive Beam Pipe for Arbitrary Energy and Frequency. United States: N. p., 2005.
Web. doi:10.1063/1.1949565.
Alkhateeb, A M, BoineFrankenheim, O, Hasse, R W, & Hofmann, I. Longitudinal and Transverse Impedances and Shielding Effectiveness of a Resistive Beam Pipe for Arbitrary Energy and Frequency. United States. https://doi.org/10.1063/1.1949565
Alkhateeb, A M, BoineFrankenheim, O, Hasse, R W, and Hofmann, I. 2005.
"Longitudinal and Transverse Impedances and Shielding Effectiveness of a Resistive Beam Pipe for Arbitrary Energy and Frequency". United States. https://doi.org/10.1063/1.1949565.
@article{osti_20722800,
title = {Longitudinal and Transverse Impedances and Shielding Effectiveness of a Resistive Beam Pipe for Arbitrary Energy and Frequency},
author = {Alkhateeb, A M and BoineFrankenheim, O and Hasse, R W and Hofmann, I},
abstractNote = {The longitudinal coupling impedance of a cylindrical beam pipe for arbitrary relativistic energy and mode frequency is obtained analytically for finite wall conductivity and finite wall thickness. Closed form expressions for the electromagnetic fields excited by a beam perturbation are derived analytically. General expressions for the resistivewall impedance in the presence of a metallic shield and for the rf shielding effectiveness of the beam pipe have been obtained. The results are applied to the GSI synchrotron SIS, where the thickness of the vacuum chamber in the dipole magnets is much smaller than the skin depth at injection energy.In addition, the transverse spacecharge and resistivewall impedances have been investigated analytically of a smooth cylindrical beam pipe of finite conductivity. Transverse beam charge distributions of a hollow beam and of a uniform beam are considered yielding different results. Closed form expressions for the excited electromagnetic fields in the beampipewall regions and for the corresponding total transverse impedance can be derived analytically for high energy beams.},
doi = {10.1063/1.1949565},
url = {https://www.osti.gov/biblio/20722800},
journal = {AIP Conference Proceedings},
issn = {0094243X},
number = 1,
volume = 773,
place = {United States},
year = {2005},
month = {6}
}