About
This lecture introduces the theoretical foundations of Schottky spectra as a non-invasive diagnostic method in circular accelerators. Starting from the statistical origin of Schottky noise in coasting and bunched beams, we derive how uncorrelated particle motion gives rise to characteristic spectral structures in the vicinity of revolution harmonics. The formation of synchrotron and betatron sidebands is explained, together with their dependence on fundamental beam parameters such as tune, momentum spread, and chromaticity. Emphasis is placed on the linear, single-particle description of beam dynamics and on how the measured frequency-domain signatures emerge directly from microscopic fluctuations. The lecture aims to provide a clear, self-contained theoretical framework for interpreting Schottky spectra in practical accelerator diagnostics.
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The talk
Credits and licence
- Institution
- CERN
- Department
- CAS - CERN Accelerator School
- Speaker
- Diogo Alves
- Year
- 2025
- Level
- Graduate
- Language
- English
- Source
- CERN
- Licence
- CERN, as CERN states it. CERN's terms
- Attribution
- © CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
- Who can watch
- CERN gives no rating. Invisible Network shows it to Teens profiles and older, judged from what the source says about it. How courses are placed