Free Electron Lasers with Slowly Varying Beam and Undulator Parameters

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The performance of a free electron lasers (FEL) is affected when the electron beam energy varies alone the undulator as would be caused by vacuum pipe wakefields and/or when the undulator strength parameter is tapered in the small signal regime until FEL saturation. In this paper, we present a self-consistent theory of FELs with slowly-varying beam and undulator parameters. A general method is developed to apply the WKB approximation to the beam-radiation system by employing the adjoint eigenvector that is orthogonal to the eigenfunctions of the coupled Maxwell-Vlasov equations. This method may be useful for other slowly varying processes in ... continued below

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3 pages

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Huang, Z; Stupakov, G. & /SLAC May 25, 2005.

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Description

The performance of a free electron lasers (FEL) is affected when the electron beam energy varies alone the undulator as would be caused by vacuum pipe wakefields and/or when the undulator strength parameter is tapered in the small signal regime until FEL saturation. In this paper, we present a self-consistent theory of FELs with slowly-varying beam and undulator parameters. A general method is developed to apply the WKB approximation to the beam-radiation system by employing the adjoint eigenvector that is orthogonal to the eigenfunctions of the coupled Maxwell-Vlasov equations. This method may be useful for other slowly varying processes in beam dynamics.

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3 pages

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  • Contributed to Particle Accelerator Conference (PAC 05), Knoxville, Tennessee, 16-20 May 2005

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  • Report No.: SLAC-PUB-11239
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 890810
  • Archival Resource Key: ark:/67531/metadc873844

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  • May 25, 2005

Added to The UNT Digital Library

  • Sept. 21, 2016, 2:29 a.m.

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  • Nov. 28, 2016, 6:03 p.m.

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Huang, Z; Stupakov, G. & /SLAC. Free Electron Lasers with Slowly Varying Beam and Undulator Parameters, article, May 25, 2005; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc873844/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.