Speaker
Description
When computing resistive wall impedance or wake function for a whole accelerator, one must take into account the variation of beam pipe aperture, conductivity, and beta function. This can be done either by summing the different contributions or by computing the so-called "effective radius," which is then used in an analytic formula to get the resistive wall impedance for the full accelerator. But the usual definition of the "effective radius" formula has some limitations: it does not take into account the influence of one plane on the other plane (e.g. horizontal plane on vertical radius), there is no formula for quadrupolar or monopolar wakes, and the longitudinal effective radius is only approximate. The present paper introduces an improved definition of the resistive wall "effective radius", which overcomes these limitations by making use of Yokoya factors.
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