Polarizabilities of an Annular Cut and Coupling Impedances of Button-Type Beam Position Monitors

Details Polarizabilities of an Annular Cut and Coupling Impedances of Button-Type Beam Position Monitors Polarizabilities of an Annular Cut and Coupling Impedances of Button-Type Beam Position Monitors

1995-04-27

arxiv.org/abs/acc-phys/9504003v1

Conf.Proc.C950501:3379-3381,1995

Physics

Accelerator Physics

Uuencoded gzipped PS-file, 3 pages, 2 figures (63K)

Scientific paper

The longitudinal and transverse coupling impedances of a small discontinuity on the accelerator chamber wall can be expressed in terms of the electric and magnetic polarizabilities of the discontinuity. The polarizabilities are geometrical factors and can be found by solving a static (electric or magnetic) problem. However, they are known in the explicit analytical form only for a few simple-shaped discontinuities, for example, for an elliptic hole in a thin wall. In the present paper the polarizabilities of a ring-shaped cut in the wall are obtained. The results are applied to calculate the coupling impedances of button-type beam position monitors.

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