Suppression of transverse instability by a digital damper

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With cooling, beam phase space density increases, which makes the beam motion intrinsically unstable. To suppress instabilities, dampers are required. With a progress of digital technology, digital dampers are getting to be more and more preferable. Conversion of an analog signal into digital one is described by a linear operator with explicit time dependence. Thus, the analog-digital converter (ADC) does not preserve a signal frequency. Instead, a monochromatic input signal is transformed into a mixture of all possible frequencies, combining the input one with multiples of the sampling frequency. Stability analysis has to include a cross-talk between all these combined ... continued below

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4 pages

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Burov, A. & Lebedev, V. June 1, 2006.

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With cooling, beam phase space density increases, which makes the beam motion intrinsically unstable. To suppress instabilities, dampers are required. With a progress of digital technology, digital dampers are getting to be more and more preferable. Conversion of an analog signal into digital one is described by a linear operator with explicit time dependence. Thus, the analog-digital converter (ADC) does not preserve a signal frequency. Instead, a monochromatic input signal is transformed into a mixture of all possible frequencies, combining the input one with multiples of the sampling frequency. Stability analysis has to include a cross-talk between all these combined frequencies. In this paper, we are analyzing a problem of stability for beam transverse microwave oscillations in a presence of digital damper; the impedance and the space charge are taken into account. The developed formalism is applied for antiproton beam in the Recycler Ring (RR) at Fermilab.

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4 pages

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  • Presented at European Particle Accelerator Conference (EPAC 06), Edinburgh, Scotland, 26-30 Jun 2006

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  • Report No.: FERMILAB-CONF-06-183-AD
  • Grant Number: AC02-07CH11359
  • Office of Scientific & Technical Information Report Number: 897245
  • Archival Resource Key: ark:/67531/metadc887882

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  • June 1, 2006

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • Sept. 26, 2017, 6:35 p.m.

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Burov, A. & Lebedev, V. Suppression of transverse instability by a digital damper, article, June 1, 2006; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc887882/: accessed July 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.