Study of coherent synchrotron radiation effects by means of a new simulation code based on the non-linear extension of the operator splitting method

G. Dattoli, M. Migliorati, A. Schiavi

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4 Citations (Scopus)


The coherent synchrotron radiation (CSR) is one of the main problems limiting the performance of high-intensity electron accelerators. The complexity of the physical mechanisms underlying the onset of instabilities due to CSR demands for accurate descriptions, capable of including the large number of features of an actual accelerating device. A code devoted to the analysis of these types of problems should be fast and reliable, conditions that are usually hardly achieved at the same time. In the past, codes based on Lie algebraic techniques have been very efficient to treat transport problems in accelerators. The extension of these methods to the non-linear case is ideally suited to treat CSR instability problems. We report on the development of a numerical code, based on the solution of the Vlasov equation, with the inclusion of non-linear contribution due to wake field effects. The proposed solution method exploits an algebraic technique that uses the exponential operators. We show that the integration procedure is capable of reproducing the onset of instability and the effects associated with bunching mechanisms leading to the growth of the instability itself. In addition, considerations on the threshold of the instability are also developed. © 2007 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)244 - 250
Number of pages7
JournalNuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Issue number2
Publication statusPublished - 1 May 2007
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Nuclear and High Energy Physics

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