Green Functions for the Radial Electric Component of the Monopole Wake Field in a Round Resistive Chamber [report]

Frank Zimmermann
1998 unpublished
We compare dierent approximations to the point-charge Green function for the radial electric monopole eld excited by an ultrarelativistic particle propagating through a resistive pipe, and study the applicability of these approximations for calculating the eld of a bunch with nite length. It has been speculated that the exact form of the electric eld could be important for simulations of the electron-cloud instability. In this paper, we show, however, that the usual approximation of the Green
more » ... nction by a delta function is adequate, except for extremely short bunch lengths.
doi:10.2172/9887 fatcat:pe22ulyefnh5xf43us3uhr45h4