Abstract
An analytical magnetic field expression for a circular vacuum chamber with induced eddy on it is obtained. Two boundary conditions are discussed: with and without the iron poles; the former implies the use of the image current methods. After the current angular distribution in the vacuum chamber is calculated, a contour integration is applied to obtain the field distribution in the aperture. The application to the CEPC booster is also presented, which is one of the most important issues in the design stage.
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