JACoW is a publisher in Geneva, Switzerland that publishes the proceedings of accelerator conferences held around the world by an international collaboration of editors.
TY - CONF AU - Lannoy, C. AU - Alves, D. AU - Mounet, N. AU - Pieloni, T. AU - Łasocha, K. ED - Schaa, Volker R.W. ED - Batten, Tonia ED - Bree, Michael ED - Petit-Jean-Genaz, Christine ED - Hunter, Darren TI - Statistical Properties of Schottky Spectra J2 - Proc. of IBIC2023, Saskatoon, Canada, 10-14 September 2023 CY - Saskatoon, Canada T2 - International Beam Instrumentation Conference T3 - 12 LA - english AB - Schottky signals are used for non-invasive beam diagnostics as they contain information on various beam and machine parameters. The instantaneous Schottky signal is, however, only a single realisation of a random process, implicitly depending on the discrete distribution of synchrotron and betatron amplitudes and phases among the particles. To estimate the expected value of the Schottky power spectrum, and reveal the inner structure of the Bessel satellites described by the theory, the averaging of instantaneous Schottky spectra is required. This study describes this procedure quantitatively by analysing the statistical properties of the Schottky signals, including the expected value and variance of Schottky power spectra. Furthermore, we investigate how these quantities evolve with the number of particles in the bunch, the observed harmonic of the revolution frequency, the distribution of synchrotron oscillation amplitudes, and the bunch profile. The theoretical findings are compared against macro-particle simulations as well as Monte Carlo computations. PB - JACoW Publishing CP - Geneva, Switzerland SP - 433 EP - 437 KW - simulation KW - synchrotron KW - betatron KW - dipole KW - diagnostics DA - 2023/12 PY - 2023 SN - 2673-5350 SN - 978-3-95450-236-3 DO - doi:10.18429/JACoW-IBIC2023-WEP035 UR - https://jacow.org/ibic2023/papers/wep035.pdf ER -