Longitudinal and Transverse Impedances and Shielding Effectiveness of a Resistive Beam Pipe for Arbitrary Energy and Frequency
- Department of Physics, Faculty of Science, Yarmouk University, Irbid (Jordan)
- GSI Darmstadt, Planckstr. 1, D-64291 Darmstadt (Germany)
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 resistive-wall 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 space-charge and resistive-wall 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 beam-pipe-wall regions and for the corresponding total transverse impedance can be derived analytically for high energy beams.
- OSTI ID:
- 20722800
- Journal Information:
- AIP Conference Proceedings, Vol. 773, Issue 1; Conference: 33. ICFA advanced beam dynamics workshop on high intensity and high brightness hadron beams, Bensheim (Germany), 18-22 Oct 2004; Other Information: DOI: 10.1063/1.1949565; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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