A study of wake potentials for the pick-ups in storage ring

Calculating wake potentials in accelerators are necessary in order to optimize the accelerator performance in terms of stored current and emittance. Wake potentials due to pick-ups can be an important source for current and emittance degradation. In this paper, we present theoretical analysis and computer simulations of the wake potentials for the beam pipe with and without mounted pick-ups. We introduce generalized wake potential to calculate the transverse wake-field and analyze the effect of pick-ups on these potentials. In addition, the effects of wake potentials due to pick-ups on the bunch length and emittance are studied using ELEGANT particle tracking code.