Particle simulation of relativistic charged beams using integral kernel method

Hideya Nakanishi, Jumei Matsui, Tetsuya Uchimoto, Nobuaki Isei, Masayuki Watanabe, Zensho Yoshida, Yuichi Ogawa, Nobuyuki Inoue

Research output: Contribution to journalArticlepeer-review


A three-dimensional particle simulation scheme has been developed and applied to the study of relativistic charged particle beams. To simulate the nonlinear behaviors of beam electrons with self-induced space-charge effects, it simultaneously solves the canonical equations of motion and the integrated Maxwell equations of radiated waves for each particle. Verifications of this algorithm show that calculations for the retarded structure of radiated waves dominate the total throughput, and the near-field approximation to the calculations of space- charge potentials improves its numerical efficiency. The code has been applied to a simulation of the Raman regime free-electron laser (FEL) to demonstrate that this scheme simulates the parametric amplification of FEL properly and is suitable for relativistic treatments of such wave-particle resonances.

Original languageEnglish
Pages (from-to)661-669
Number of pages9
JournalJapanese Journal of Applied Physics
Issue number2R
Publication statusPublished - 1995 Feb


  • Free-electron laser
  • Integral kernel method
  • Kinetic conservation system
  • Predictor-corrector method
  • Relativistic charged particle beam
  • Space-charge effect
  • Tracking


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