• DocumentCode
    2420530
  • Title

    Amplitude growth due to random, correlated kicks

  • Author

    Michelotti, Leo ; Mills, Fred

  • Author_Institution
    Fermilab, Batavia, IL, USA
  • fYear
    1989
  • fDate
    20-23 Mar 1989
  • Firstpage
    1394
  • Abstract
    The authors note that there appears to be good knowledge of the second moment for general stochastic processes due to stochastic cooling theory, but the form of the first moment is known only for extremely wideband (short correlation times) processes, such as gas scattering. In the present work, an attempt is made to derive an expression relating the expected single particle amplitude growth to the noise autocorrelation function and to obtain, thereby, the form of M 1 for narrowband processes (long correlation time)
  • Keywords
    particle beam diagnostics; first moment; narrowband processes; noise autocorrelation function; particle beams; random correlated kicks; second moment; single particle amplitude growth; stochastic cooling theory; stochastic processes; Additive noise; Differential equations; Frequency; Low earth orbit satellites; Milling machines; Particle beams; Particle scattering; Random variables; Silicon compounds; Stochastic processes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE
  • Conference_Location
    Chicago, IL
  • Type

    conf

  • DOI
    10.1109/PAC.1989.73460
  • Filename
    73460
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2420530