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Mathematical Modelling and Analysis Volume 10, 2005 - Issue 1
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Original Articles

Nonstationary stage of quasi‐cherenkov beam instability in periodical structuresFootnote1

K. Batrakov Institute for Nuclear Problems, Belarussian State University, Bobruiskaya 11, Minsk, 220050, Belarus E-mail: [email protected]
&
S. Sytova Institute for Nuclear Problems, Belarussian State University, Bobruiskaya 11, Minsk, 220050, Belarus E-mail: [email protected]
Pages 1-8 | Received 01 Oct 2004, Published online: 14 Oct 2010

References

  • Baryshevsky , V. , Batrakov , K. and Dubovskaya , I. 1991 . Parametric (quasi‐Cherenkov) X‐ray FEL . Journ. Phys. D , 24 : 1250 – 1257 .
  • Baryshevsky , V. Batrakov , K. 2002 . First lasing of a volume FEL (VFEL) at a wavelength range 4–6 mm . Nucl. Instr. and Meth. in Phys. Res , A483 : 21 – 24 .
  • Baryshevsky , V. and Feranchuk , I. 1983 . Parametric X‐rays from ultrarelativistic electrons in a crystals: theory and possibilities of practical utilization . Journ.Phys , 44 : 913 – 922 .
  • Baryshevsky , V. and Feranchuk , I. 1984 . Parametric beam instability of relativistic charged particles in a crystal . Phys.Let.A , 102 : 141 – 144 .
  • Batrakov , K. and Sytova , S. 2004 . Modelling of quasi‐Cherenkov electron beam instability in periodical structures . Mathematical Modelling and Analysis , 9 (1) : 1 – 8 .
  • Čiegis , Raim. and Čiegis , Rem. 2004 . Numerical stability analysis of solutions of PDEs . Computational Methods in Applied Mathematics , 4 (1) : 23 – 33 .
  • Brinkmann , R. 2002 . TESLA XFEL, First Stage of the X‐Ray Laser Laboratory , DESY Report 2002–167/TESLA‐FEL 2002–09 Hamburg
  • Iooss , G. and Joseph , D. Springer‐Verlag 1981 . Elementary stability and bifurcation theory Springer‐Verlag , Berlin
  • Haken , H. Springer‐Verlag 1983 . Advanced synergetics , Springer‐Verlag , New York : [10] G. Nicolis and I. Prigogine. Exploring complexity. W.Y. Freeman and Company . 1989
  • Samarskii , A.A. 1989 . Theory of finite‐difference schemes Nauka, Moscow (in Russian)
  • Vainshtein , L.A. and Solncev , VA. 1973 . Lectures on microwave electronics , Moscow : Sov. Radio . (in Russian)
  • Authors thank prof. V. G. Baryshevsky for permanent interest to their work

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