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In particle accelerators, pumping holes in a vacuum chamber can be a sourceof unwanted broadband coupling impedance, leading to beam instabilities.Analytical methods have been previously developed to estimate the impedance ofholes in circular-like chambers e.g. the beamscreen of the Large HadronCollider (LHC). More sophisticated chamber designs like that of the High EnergyLHC (HE-LHC) and the Future Circular Collider (FCC-hh) call for a different wayto calculate the impedance. We propose using decomposition of the wakefieldinto synchronous traveling waves and employing a numerical solver to find theimpedance of each wave. This method is compared to the direct time domainwakefield calculation method and its greater sensitivity to small impedances isshown.

Traveling wave method for simulating geometric beam coupling impedance of a beamscreen with pumping holes