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SLAC Publication: SLAC-PUB-13937
SLAC Release Date: February 17, 2012
Kirchhoff's Integral Representation and a Cavity Wake Potential
Novokhatski, Alexander.
A method is proposed for the calculation of the short-range wake field potentials of an ultra-relativistic bunch passing near some irregularities in a beam pipe. The method is based on the space-time domain integration of Maxwells equations using Kirchhoffs formulation. We demonstrate this method on two cases where we obtain the wake potentials for the energy loss of a bunch traversing an iris-collimator in a beam pipe and for a cavity. Likewise, formulas are derived for Greens functions that de... Show Full Abstract
A method is proposed for the calculation of the short-range wake field potentials of an ultra-relativistic bunch passing near some irregularities in a beam pipe. The method is based on the space-time domain integration of Maxwells equations using Kirchhoffs formulation. We demonstrate this method on two cases where we obtain the wake potentials for the energy loss of a bunch traversing an iris-collimator in a beam pipe and for a cavity. Likewise, formulas are derived for Greens functions that describe the transverse force action of wake fields. Simple formulas for the total energy loss of a bunch with a Gaussian charge density distribution are derived as well. The derived estimates are compared with computer results and predictions of other models. Show Partial Abstract
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  • Interest Categories: Accelerator Physics, X-Ray Free Electron Laser