Wake potentials and impedances of charged beams in gradually tapering structures

Journal Article · Tue Mar 15 04:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3559157· OSTI ID:21501292

Burton, D A; Christie, D C; Smith, J D. A.; Tucker, R W ^[1]

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1. Department of Physics, Lancaster University, Lancaster LA1 4YB (United Kingdom) and Cockcroft Institute of Accelerator Science and Technology, Daresbury Science and Innovation Campus, Daresbury, Warrington WA4 4AD (United Kingdom)

We develop an analytical method for calculating the geometric wakefield and impedances of an ultrarelativistic beam propagating on- and off-axis through an axially symmetric geometry with slowly varying circular cross-section, such as a transition. Unlike previous analytical methods, our approach permits detailed perturbative investigation of geometric wakefields, and detailed perturbative investigation of impedance as a function of frequency. We compare the accuracy of the results of our approach with numerical simulations performed using the code ECHO and determine parameters in which there is good agreement with our asymptotic analysis.

• OSTI ID: 21501292
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 52; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
ASYMPTOTIC SOLUTIONS
AXIAL SYMMETRY
BEAMS
COLLIMATORS
COMPUTERIZED SIMULATION
CROSS SECTIONS
ENERGY RANGE
FREQUENCY DEPENDENCE
IMPEDANCE
MATHEMATICAL SOLUTIONS
PARTICLE BEAMS
POTENTIALS
RELATIVISTIC RANGE
SIMULATION
SYMMETRY