HOM electronics and code to probe beam centring on 3.9 GHz cavities

The work within sub-task 10.5.1 was aimed at developing electronics for beam position monitoring (BPM) based on Higher-Order Modes (HOM) excited by electron beams in 3.9 GHz cavities in the FLASH linac at DESY, Hamburg, defining realistic specifications and proving that these signals can be used for beam centering. A series of measurements with devices like a fast oscilloscopes and a real-time spectrum analyzer, as well as with specially designed test electronics. These measurements in conjunction with the simulations made by the other 2 sub-tasks have enabled us to find two spectra regions suitable for use as BPM: modes with strong coupling to the beam around 5.4 GHz, enabling precise monitoring (resolution of ca 20 μm rms) within the whole 4-cavity module, and localized modes at ca.9 GHz for localized measurements in each cavity (resolution of ca 50 mm rms). Various data analysis approaches have been studied. Based on the EuCARD work the HOMBPM electronics has been designed and is now being built at FNAL. The work of this task will be the starting point for the HOMBPM monitors for the 3.9 GHz cavities to be installed the European XFEL.