Nonlinearities in the response of beam position monitors

Abstract

At the LEP e+/e− collider at CERN, Geneva, a Spectrometer is used to determine the beam energy with a relative accuracy of 10−4.The Spectrometer measures the change in bending angle in a dipole magnet, the beam trajectory being obtained using beam position monitors (BPMs), which must have an accuracy close to 1 μm in order to achieve the desired precision. The BPMs used feature an aluminum block with an elliptical aperture and capacitive pickup electrodes. The response depends on the electrode geometry and also on the shape of the monitor aperture. In addition, the size of the beam itself contributes if the beam is off-center. The beam size varies according to the beta and dispersion functions at the Spectrometer, so that each BPM may exhibit a systematic shift of the measured beam position. We have investigated the implications of such shifts on the performance of the Spectrometer. We present analytical results, a computer model of the BPM response, and comparison with measurements. The model suggests st...