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Persistent URL http://purl.org/net/epubs/work/48864
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Record Id 48864
Title Electromagnetic Fields Produced by Moving Sources in a Curved Beam Pipe
Abstract A new geometrical perturbation scheme is developed in order to calculate the electromagnetic elds produced by charged sources in prescribed motion moving in a non-straight perfectly conducting beam pipe. The pipe is regarded as a perturbed in nitely long hollow right-circular cylinder. The perturbation maintains the pipe's circular cross-section while deforming its axis into a planar space-curve with, in general, non-constant curvature. Various charged source models are considered including a charged bunch and an o -axis point particle. In the ultrarelativistic limit this permits a calculation of the longitudinal wake potential in terms of powers of the product of the pipe radius and the arbitrarily varying curvature of the axial space-curve. Analytic expressions to leading order are presented for beam pipes with piecewise de ned constant curvature modelling pipes with straight segments linked by circular arcs of nite length. The language of di erential forms is used throughout and to illustrate the power of this formalism a pedagogical introduction is developed by deriving the theory ab-initio from Maxwell's equations expressed intrinsically as a di erential system on (Minkowski) spacetime.
Organisation CI
Keywords Physics
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Language English (EN)
Type Details URI(s) Local file(s) Year
Report CI Preprints Cockcroft-08-32. 2008. GR-ck08-32-revtex.pdf 2008