Impedance studies: Part 1, A composition rule

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Description

The impedances and the loss factors experienced by a particle beam that circulates in the APS storage ring play an essential role in the studies of the beam instability problem. Due to a large variety of structures in the ring, the computation of these parameters amounts to enormous work. During the last months, this was tackled numerically by invoking the MAFIA family, a set of codes developed mainly at DESY. The results are to be reported in several LS notes. This note is the first part and will discuss a composition rule that we observed in our calculations. The composition ... continued below

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8 p.

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Chou, W. & Jin, Y. July 1, 1988.

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Description

The impedances and the loss factors experienced by a particle beam that circulates in the APS storage ring play an essential role in the studies of the beam instability problem. Due to a large variety of structures in the ring, the computation of these parameters amounts to enormous work. During the last months, this was tackled numerically by invoking the MAFIA family, a set of codes developed mainly at DESY. The results are to be reported in several LS notes. This note is the first part and will discuss a composition rule that we observed in our calculations. The composition rule can be stated as follows. For a complicated structure, one may decompose it into simple components and compose these components to form new structures. Under certain conditions, the old and the new structures will give the same loss factors. This rule is in analogy to and an extension of the law of addition of resistances in sequence in the conventional circuit theory. We will discuss two examples to illustrate this rule.

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8 p.

Notes

OSTI as DE95015555

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  • Other Information: PBD: Jul 1988

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  • Other: DE95015555
  • Report No.: LS--112
  • Grant Number: W-31-109-ENG-38
  • DOI: 10.2172/93502 | External Link
  • Office of Scientific & Technical Information Report Number: 93502
  • Archival Resource Key: ark:/67531/metadc793118

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  • July 1, 1988

Added to The UNT Digital Library

  • Dec. 19, 2015, 7:14 p.m.

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  • Jan. 6, 2016, 2:19 p.m.

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Chou, W. & Jin, Y. Impedance studies: Part 1, A composition rule, report, July 1, 1988; Illinois. (digital.library.unt.edu/ark:/67531/metadc793118/: accessed September 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.