Paper 
Title 
Page 
TUP34 
LHC Schottky Spectrum from MacroParticle Simulations 
308 

 C. Lannoy, D. Alves, N. Mounet
CERN, Meyrin, Switzerland
 C. Lannoy, T. Pieloni
EPFL, Lausanne, Switzerland
 K. Łasocha
Jagiellonian University, Kraków, Poland



We introduce a method for building Schottky spectra from macroparticle simulations performed with the PyHEADTAIL code, applied to LHC beam conditions. In this case, the use of a standard Fast Fourier Transform (FFT) algorithm to recover the spectral content of the beam becomes computationally intractable memorywise, because of the relatively short bunch length compared to the large revolution period. This would imply having to handle an extremely large amount of data for performing the FFT. To circumvent this difficulty, a semianalytical method was developed to compute efficiently the Fourier transform. The spectral content of the beam is calculated on the fly along with the macroparticle simulation and stored in a compact manner, independently from the number of particles, thus allowing the processing of one million macroparticles in the LHC, over 10’000 revolutions, in a few hours, on a regular computer. The simulated Schottky spectrum is then compared against theoretical formulas and measurements of Schottky signals previously obtained with lead ion beams in the LHC.



Poster TUP34 [1.864 MB]


DOI • 
reference for this paper
※ doi:10.18429/JACoWIBIC2022TUP34


About • 
Received ※ 06 September 2022 — Revised ※ 10 September 2022 — Accepted ※ 11 September 2022 — Issue date ※ 01 December 2022 
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