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Hierarchical Asymptotic Methods in the Theory of Cluster Free Electron Lasers

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Abstract

We describe an algorithm for the hierarchic method of averaged characteristics and discuss a practical application of this concept. The application of this method opens new prospects for the solutions of many difficult electrodynamic problems, which, until recently, were considered “unsolved”. We illustrate this method with the example of the effect of plural multi-harmonic parametric resonance of electron-beam waves. This effect can take place within high-current electron beams in the case of the realization of two-stream instability. The considered relativistic beam-model is treated as a model for the transit section of relevant klystron Cluster Two-stream Free Electron Laser (CTSFEL).

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Authors and Affiliations

  1. National Aviation University, Kiev, 03058, Ukraine

    Victor V. Kulish & Alla Ju. Brusnik

  2. Sumy State University, Sumy, 40007, Ukraine

    Alexander V. Lysenko

Authors
  1. Victor V. Kulish
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  2. Alexander V. Lysenko
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  3. Alla Ju. Brusnik
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Correspondence to Alexander V. Lysenko.

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Kulish, V.V., Lysenko, A.V. & Ju. Brusnik, A. Hierarchical Asymptotic Methods in the Theory of Cluster Free Electron Lasers. J Infrared Milli Terahz Waves 33, 149–173 (2012). https://doi.org/10.1007/s10762-011-9860-z

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  • DOI: https://doi.org/10.1007/s10762-011-9860-z

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