A Numerical Optimization Method for Determining the Mechanical Center of Beam Position Monitors Based on Calibration Data

Accurate determination of the mechanical center of BPMs is essential for ensuring the precision of beam position measurements. Conventional methods for determining the BPM mechanical center rely on ideal geometric symmetry assumptions of electrodes, require additional measurement procedures, and are prone to introducing systematic errors.

[Purpose] This study aims to develop a practical method for determining the mechanical center of BPMs based solely on calibration data, suitable for engineering applications. [Methods] A numerical calculation method based on BPM calibration data was proposed. Multiple sets of simulated beam position and electrode signal data obtained during the automatic BPM calibration process were used to construct an error function with mechanical center offsets as optimization variables.