Impedance of Ultrarelativistic Charged Distributions in Tapering Geometries

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Persistent URL	http://purl.org/net/epubs/work/48861
Record Status	Checked
Record Id	48861
Title	Impedance of Ultrarelativistic Charged Distributions in Tapering Geometries
Contributors	DA Burton (Lancaster U), DC Christie (Lancaster U), RW Tucker (Lancaster U)
Abstract	We develop a scheme for obtaining the impedance of a gradually tapered, axisymmetric geometry containing a bunch of arbitrary profile travelling at the speed of light parallel to the axis of the taper. Coordinate-free expressions forMaxwell?s equations are 2+2-split in a coordinate system adapted to the particle beam and the taper and, using an asymptotic expansion for a gradual taper, a coupled hierarchy of Poisson equations is obtained. Applications of the scheme are presented.
Organisation	CCLRC , CI
Keywords	Physics
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Language	English (EN)

Type	Details	URI(s)	Local file(s)	Year
Preprint	CI Preprints Cockroft 08-15 2006. Submitted to: 10th European Particle Accelerator Conference (EPAC06), Edinburgh, UK, 26-30th June 2006		Cockcroft-08-15.pdf	2006