Surface Impedance Formalism for a Metallic Beam Pipe with Small Corrugations

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A metallic pipe with wall corrugations is of special interest in light of recent proposals to use such a pipe for the generation of terahertz radiation and for energy dechirping of electron bunches in free electron lasers. In this paper we calculate the surface impedance of a corrugated metal wall and show that it can be reduced to that of a thin layer with dielectric constant {epsilon} and magnetic permeability {mu}. We develop a technique for the calculation of these constants, given the geometrical parameters of the corrugations. We then calculate, for the specific case of a round metallic pipe ... continued below

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19 pages

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Stupakov, G.; Bane, K.L.F. & /SLAC August 30, 2012.

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Description

A metallic pipe with wall corrugations is of special interest in light of recent proposals to use such a pipe for the generation of terahertz radiation and for energy dechirping of electron bunches in free electron lasers. In this paper we calculate the surface impedance of a corrugated metal wall and show that it can be reduced to that of a thin layer with dielectric constant {epsilon} and magnetic permeability {mu}. We develop a technique for the calculation of these constants, given the geometrical parameters of the corrugations. We then calculate, for the specific case of a round metallic pipe with small corrugations, the frequency and strength of the resonant mode excited by a relativistic beam. Our analytical results are compared with numerical simulations, and are shown to agree well.

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19 pages

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  • Journal Name: Submitted to Physical Review Special Topics - Accelerators and Beams

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  • Report No.: SLAC-PUB-15231
  • Grant Number: AC02-76SF00515
  • DOI: 10.1103/PhysRevSTAB.15.124401 | External Link
  • Office of Scientific & Technical Information Report Number: 1049734
  • Archival Resource Key: ark:/67531/metadc839909

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  • August 30, 2012

Added to The UNT Digital Library

  • May 19, 2016, 9:45 a.m.

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  • June 20, 2016, 8:54 p.m.

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Stupakov, G.; Bane, K.L.F. & /SLAC. Surface Impedance Formalism for a Metallic Beam Pipe with Small Corrugations, article, August 30, 2012; United States. (digital.library.unt.edu/ark:/67531/metadc839909/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.