Simulations of coherent synchrotron radiation effects in electron machines

M. Migliorati, A. Schiavi, G. Dattoli

Research output: Contribution to journalArticle


Coherent synchrotron radiation (CSR) generated by high intensity electron beams can be a source of undesirable effects limiting the performance of storage rings. The complexity of the physical mechanisms underlying the interplay between the electron beam and the CSR demands for reliable simulation codes. 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 wakefields - beam interaction. In this paper we report on the development of a numerical code, based on the solution of the Vlasov equation, which includes the non linear contribution due to wakefields. The proposed solution method exploits an algebraic technique that uses the exponential operators. We show that, in the case of CSR wakefields, the integration procedure is capable of reproducing the onset of an instability which leads to microbunching of the beam thus increasing the CSR at short wavelengths. In addition, considerations on the threshold of the instability for Gaussian bunches is also reported. © World Scientific Publishing Company.
Original languageEnglish
Pages (from-to)4235 - 4244
Number of pages10
JournalInternational Journal of Modern Physics A
Issue number23
Publication statusPublished - 20 Sep 2007
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Mathematical Physics
  • Nuclear and High Energy Physics

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