• DocumentCode
    334634
  • Title

    Microwave instability thresholds

  • Author

    Zhang, S.Y.

  • Author_Institution
    Brookhaven Nat. Lab., Upton, NY, USA
  • Volume
    2
  • fYear
    1997
  • fDate
    12-16 May 1997
  • Firstpage
    1584
  • Abstract
    Taking the first orthogonal polynomials in the conventional radial mode expansion in the eigenvalue type perturbation approach, the usual Keil-Schnell criteria for the microwave instabilities can be obtained. In this way, a close relationship between the two approaches is established. The existing results are reviewed, and some comments and modifications are made
  • Keywords
    eigenvalues and eigenfunctions; particle beam stability; perturbation theory; polynomials; Keil-Schnell criteria; eigenvalue; microwave instability threshold; orthogonal polynomials; perturbation; radial mode expansion; Equations; Frequency estimation; Gaussian distribution; Impedance; Particle beams; Polynomials; Redundancy; Synchrotrons; Thumb; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1997. Proceedings of the 1997
  • Conference_Location
    Vancouver, BC
  • Print_ISBN
    0-7803-4376-X
  • Type

    conf

  • DOI
    10.1109/PAC.1997.750766
  • Filename
    750766