The effect of space-charge and wake fields in the Fermilab Booster

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We calculate the impedance and the wake functions for laminated structures with parallel-planes and circular geometries. We critically examine the approximations used in the literature for the coupling impedance in laminated chambers and find that most of them are not justified because the wall surface impedance is large. A comparison between the flat and the circular geometry impedance is presented. We use the wake fields calculated for the Fermilab Booster laminated magnets in realistic beam simulations using the Synergia code. We find good agreement between our calculation of the coherent tune shift at injection energy and the experimental measurements. In ... continued below

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3 pages

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Macridin, Alexandru; Spentzouris, Panagiotis; Amundson, James; Spentzouris, Linda & McCarron, Daniel March 1, 2011.

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We calculate the impedance and the wake functions for laminated structures with parallel-planes and circular geometries. We critically examine the approximations used in the literature for the coupling impedance in laminated chambers and find that most of them are not justified because the wall surface impedance is large. A comparison between the flat and the circular geometry impedance is presented. We use the wake fields calculated for the Fermilab Booster laminated magnets in realistic beam simulations using the Synergia code. We find good agreement between our calculation of the coherent tune shift at injection energy and the experimental measurements. In this paper we calculate the impedance and the wake functions for laminated structures with parallel-planes and circular geometries. First the coupling impedance is derived as a function of the wall surface impedance. Then the surface impedance is calculated by solving Maxwell's equations inside the lamination and the crack regions. We find that the commonly used resistive-wall approximations, good for metallic pipes with small surface impedance, are not valid in the laminated structures where the surface impedance is large. Realistic Synergia simulations of the Booster machine with wake fields predict transverse coherent tune shifts in good agreement with the experiment.

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3 pages

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  • Presented at 2011 Particle Accelerator Conference (PAC'11), New York, NY, 28 Mar - 1 Apr 2011

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  • Report No.: FERMILAB-CONF-11-116-CD
  • Grant Number: AC02-07CH11359
  • Office of Scientific & Technical Information Report Number: 1013739
  • Archival Resource Key: ark:/67531/metadc846832

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  • March 1, 2011

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  • May 19, 2016, 3:16 p.m.

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  • July 26, 2017, 11:24 a.m.

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Macridin, Alexandru; Spentzouris, Panagiotis; Amundson, James; Spentzouris, Linda & McCarron, Daniel. The effect of space-charge and wake fields in the Fermilab Booster, article, March 1, 2011; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc846832/: accessed April 24, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.