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Persistent URL http://purl.org/net/epubs/work/48861
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Record Id 48861
Title Impedance of Ultrarelativistic Charged Distributions in Tapering Geometries
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)
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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