Application of Non-Linear Time-Domain RF Simulations to Longitudinal Emittance Studies for the LHC

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A non-linear time-domain simulation has been developed that can determine technical limitations, effects of non-linearities and imperfections, and impact of additive noise on the interaction of the beam with the Impedance Control Radio Frequency (RF) systems [1]. We present a formalism for the extraction of parameters from the time domain simulation to determine the sensitivity of the beam longitudinal emittance and dilution on the RF system characteristics. Previous studies [2], [3] have estimated the effect of a noise source on the beam characteristics assuming an independent perturbation source of the RF voltage and a simplified beam model with no coupling. ... continued below

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3 pages

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Mastorides, T.; Rivetta, C.; Fox, J.D.; Winkle, D.Van & /SLAC May 15, 2009.

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A non-linear time-domain simulation has been developed that can determine technical limitations, effects of non-linearities and imperfections, and impact of additive noise on the interaction of the beam with the Impedance Control Radio Frequency (RF) systems [1]. We present a formalism for the extraction of parameters from the time domain simulation to determine the sensitivity of the beam longitudinal emittance and dilution on the RF system characteristics. Previous studies [2], [3] have estimated the effect of a noise source on the beam characteristics assuming an independent perturbation source of the RF voltage and a simplified beam model with no coupling. We present the methodology for the time-domain simulation study of the dependence of the accelerating voltage noise spectrum on the various RF parameters and the technical properties (such as non-linearities, thermal noise, frequency response etc.) of the Low Level RF (LLRF) system components. Future plans to expand this formalism to coupled bunch studies of longitudinal emittance growth in the LHC at nominal and upgraded beam currents are briefly summarized.

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3 pages

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  • Contributed to Particle Accelerator Conference (PAC 09), Vancouver, BC, Canada, 4-8 May 2009

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  • Report No.: SLAC-PUB-13631
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 952975
  • Archival Resource Key: ark:/67531/metadc927898

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  • May 15, 2009

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  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 15, 2016, 3:21 p.m.

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Mastorides, T.; Rivetta, C.; Fox, J.D.; Winkle, D.Van & /SLAC. Application of Non-Linear Time-Domain RF Simulations to Longitudinal Emittance Studies for the LHC, article, May 15, 2009; United States. (digital.library.unt.edu/ark:/67531/metadc927898/: accessed September 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.