CSR IMPEDANCE DUE TO A BEND MAGNET OF FINITE LENGTH WITH A VACUUM CHAMBER OF RECTANGULAR CROSS SECTION

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We study the 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. Our method represents a further development of the previous studies: 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. We illustrate our general method by calculating the CSR impedance of a beam moving in a toroidal vacuum chamber of rectangular cross section.

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3 pages

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Stupakov, G.; /SLAC; Kotelnikov, I.A. & U., /Novosibirsk State June 5, 2009.

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Description

We study the 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. Our method represents a further development of the previous studies: 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. We illustrate our general method by calculating the CSR impedance of a beam moving in a toroidal vacuum chamber of rectangular cross section.

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3 pages

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  • Contributed to Particle Accelerator Conference (PAC 09), Vancouver, BC, Canada, 4-8 May 2009

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  • Report No.: SLAC-PUB-13662
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 953848
  • Archival Resource Key: ark:/67531/metadc928164

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  • June 5, 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.; /SLAC; Kotelnikov, I.A. & U., /Novosibirsk State. CSR IMPEDANCE DUE TO A BEND MAGNET OF FINITE LENGTH WITH A VACUUM CHAMBER OF RECTANGULAR CROSS SECTION, article, June 5, 2009; United States. (digital.library.unt.edu/ark:/67531/metadc928164/: accessed October 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.