Coupling Impedances of Azimuthally Symmetric Obstacles of Semi-Elliptical Shape in a Beam Pipe

Details Coupling Impedances of Azimuthally Symmetric Obstacles of Semi-Elliptical Shape in a Beam Pipe Coupling Impedances of Azimuthally Symmetric Obstacles of Semi-Elliptical Shape in a Beam Pipe

1996-09-23

arxiv.org/abs/acc-phys/9609005v1

Physics

Accelerator Physics

6 pages, LaTeX, style revtex, 2 figures (eps). Submitted to Phys. Rev. E

Scientific paper

The beam coupling impedances of small axisymmetric obstacles having a semi-elliptical cross section along the beam in the vacuum chamber of an accelerator are calculated at frequencies for which the wavelength is large compared to a typical size of the obstacle. Analytical results are obtained for both the irises and the cavities with such a shape which allow simple estimates of their broad-band impedances.

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