Cancellation of Transverse Excitation in Gain Expanded Free Electron Lasers

  • John M. J. Madey
Part of the Ettore Majorana International Science Series book series (SLAP, volume 49)

Abstract

We define and analyze emittance growth in gain expanded free electron lasers, develop criteria for the minimization of this phenomenon, and present some examples of the application of these criteria.

Keywords

Sine Cose Verse Osin 

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References and Footnotes

  1. 1.
    T. I. Smith, J.M.J. Madey, L. R. Elias, and D.A.G. Deacon, Reducing the Sensitivity of a Free Electron Laser to Electron Energy, J. Appl. Phys. 50:4580 (1979).ADSCrossRefGoogle Scholar
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    M. Sands, op. cit., Eqs. (2.42) and (2.45).Google Scholar
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    Note that the area A enclosed by ensemble in the two dimensional (x,x’) phase space can also be changed by interactions which rotate the ensemble out of the (x,x’) plane.Google Scholar
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    We assume similar series expansion for \({\rm{\bar \delta }} \) and Δψ \( {\rm{\bar \delta }} \equiv \sum\limits_{{\rm{j}} = 0}^\infty {{{\rm{\delta }}_{\rm{j}}}{\& ^{\rm{j}}}} \;\;\;{\rm{,}}\;\;\;\Delta {\rm{\psi }}\; \equiv \;\sum\limits_{{\rm{j}} = 0}^\infty {\Delta {{\rm{\psi }}_{\rm{j}}}{\& ^{\rm{j}}}} \;\;\;\;{\rm{.}} \) Google Scholar
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Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • John M. J. Madey
    • 1
  1. 1.Physics Department & High Energy Physics LaboratoryStanford UniversityStanfordUSA

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