Calculation of Coherent Synchrotron Radiation Impedance Using the Mode Expansion Method

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We study an impedance due to coherent synchrotron radiation (CSR) generated by a short bunch of charged particles passing through a dipole magnet of finite length in a vacuum chamber of a given cross section. In our method we decompose the electromagnetic field of the beam over the eigenmodes of the toroidal chamber and derive a system of equations for the expansion coefficients in the series. The general method is further specialized for a toroidal vacuum chamber of a rectangular cross section where the eigenmodes can be computed analytically. We also develop a computer code that calculates the CSR impedance ... continued below

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18 pages

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Stupakov, G.V.; /SLAC; Kotelnikov, I.A. & /Novosibirsk, IYF December 9, 2009.

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We study an impedance due to coherent synchrotron radiation (CSR) generated by a short bunch of charged particles passing through a dipole magnet of finite length in a vacuum chamber of a given cross section. In our method we decompose the electromagnetic field of the beam over the eigenmodes of the toroidal chamber and derive a system of equations for the expansion coefficients in the series. The general method is further specialized for a toroidal vacuum chamber of a rectangular cross section where the eigenmodes can be computed analytically. We also develop a computer code that calculates the CSR impedance for a toroid of rectangular cross section. Numerical results obtained with the code are presented in the paper.

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18 pages

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  • Journal Name: Phys.Rev.ST Accel.Beams 12:104401,2009; Journal Volume: 12

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  • Report No.: SLAC-PUB-13822
  • Grant Number: AC02-76SF00515
  • DOI: 10.1103/PhysRevSTAB.12.104401 | External Link
  • Office of Scientific & Technical Information Report Number: 969262
  • Archival Resource Key: ark:/67531/metadc927190

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  • December 9, 2009

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  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 15, 2016, 3:22 p.m.

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Stupakov, G.V.; /SLAC; Kotelnikov, I.A. & /Novosibirsk, IYF. Calculation of Coherent Synchrotron Radiation Impedance Using the Mode Expansion Method, article, December 9, 2009; United States. (digital.library.unt.edu/ark:/67531/metadc927190/: accessed June 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.