Beam Coupling Impedances of Small Discontinuities

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A general derivation of the beam coupling impedances produced by small discontinuities on the wall of the vacuum chamber of an accelerator is reviewed. A collection of analytical formulas for the impedances of small obstacles is presented.
Lectures at US Particle Accelerator School in Tucson, AZ on January 17-21, 2000; LaTeX, 19 pages, 6 eps figures

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