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Paper   IPM / P / 7909
School of Physics
  Title:   Relativistic Raman Back Scattering In An Electron Beam With Ion-Channel Guiding And Its Application In Free-Electron Laser
1.  A. Kordbacheh
2.  B. Maraghechi
3.  B. Farrokhi
4.  J. E . Willett
  Status:   Published
  Journal: Phys. Plasmas
  Vol.:  12
  Year:  2005
  Pages:   113106
  Supported by:  IPM
A theory for Raman backscattering, in the rest frame of an electron beam with ion-channel guiding, is presented when the electrons are making small amplitude betatron oscillations. A relativistic theory of this problem is also presented when the electrons are moving through relativistic and helical trajectories. The relativistic theory is used to find the growth rate of a free-electron laser in Raman regime. The wiggler effects, on the linear dispersion relations of the space charge wave and radiation, are included in the analysis. The growth rate and free-space wavelength of the radiation are studied numerically at different operating regimes corresponding to small and large ion-channel densities. An improved dispersion relation for FEL without any guiding is derived

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