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

1996/09/23 by Robert L. Gluckstern, Gluckstern, Robert L., Sergey S. Kurennoy +1
Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #FOS: Physical sciences #acc-phys #physics.acc-ph

paper · pdf · doi:10.48550/arxiv.acc-phys/9609005

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

arxiv created 1996/09/23 · arxiv updated 2009/11/30

Abstract

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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