Approximate longitudinal space charge impedances of a round beam between parallel plates and inside a rectangular chamber

This paper presents the approximate analytical solutions to the longitudinal space charge (LSC) impedances of a round beam with uniform transverse distribution and sinusoidal line density modulations under two boundary conditions: (a) between parallel plates (b) inside a rectangular chamber, respect...

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Bibliographic Details
Published in:Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment Accelerators, spectrometers, detectors and associated equipment, 2015-01, Vol.769, p.44-51
Main Authors: Li, Yingjie, Wang, Lanfa
Format: Article
Language:English
Subjects:
Approximation
Beams (radiation)
Chambers
Density
Line charge
Longitudinal space charge impedances
Mathematical analysis
Mathematical models
Parallel plates
Rectangular chamber
Round beam
Space charge
Space charge fields and potentials
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Summary:This paper presents the approximate analytical solutions to the longitudinal space charge (LSC) impedances of a round beam with uniform transverse distribution and sinusoidal line density modulations under two boundary conditions: (a) between parallel plates (b) inside a rectangular chamber, respectively. When the ratio of beam diameter to chamber height is small, the image charge fields of the round beam can be approximated by those of a line charge, the approximate analytical LSC impedances can be obtained by image method. The derived theoretical LSC impedances are valid at any perturbation wavelength and are consistent well with the numerical simulation results in a large range of ratios of beam diameters to chamber heights.
ISSN:0168-9002
1872-9576
DOI:10.1016/j.nima.2014.09.038