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Effect of velocity spread on finite-length free electron laser gain

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Abstract

A theory of general stimulated backscattering by a hot, relativistic electron beam propagating through a spatially periodic, transverse magnetostatic field is presented. The electrons are chosen to have a Lorentzian distribution in velocity space. Though energy spread acts to diminish gain, its effect is negligible if Δγ/γ < < N-1, where N is the number of undulator periods. The analysis is linear and applicable to both the single-particle and collective regimes.

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References

  1. L.R. Elias, W.H. Fairbank, J.M.J. Madey, H.A. Schwettman, and T.I. Smith, Phys. Rev. Lett.36, 717 (1976).

    Google Scholar 

  2. D.A.G. Deacon, L.R. Elias, J.M.J. Madey, G.J. Ramien, H.A. Schwettman, and T.I. Smith, Phys. Rev. Lett.38, 892 (1977).

    Google Scholar 

  3. V.L. Granatstein, S.P. Schlesinger, M. Herndon, R.K. Parker, and J.A. Pasour, Appl. Phys. Lett.30, 384 (1977).

    Google Scholar 

  4. P.C. Efthimion and S.P. Schlesinger, Phys. Rev. A16, 633 (1977).

    Google Scholar 

  5. T.C. Marshall, S. Talmadge, and P. Efthimion, Appl. Phys. Lett.31, 320 (1977).

    Google Scholar 

  6. R.M. Gilgenbach, T.C. Marshall, and S.P. Schlesinger, Phys. Fluids22, 971 (1979).

    Google Scholar 

  7. D.B. McDermott, T.C. Marshall, S.P. Schlesinger, R.K. Parker, V.L. Granatstein, Phys. Rev. Lett.41, 1368 (1978).

    Google Scholar 

  8. W.B. Colson,Physics of Quantum Electronics (Addison-Wesley, Reading, Mass., 1977), vol. 5.

    Google Scholar 

  9. P. Sprangle and A.T. Drobot, J. Appl. Phys.50, 2652 (1979).

    Google Scholar 

  10. N.A. Kroll and W.A. McMullin, Phys. Rev. A17, 300 (1978).

    Google Scholar 

  11. A. Hasegawa, Bell System Tec. J.57, 3069 (1978).

    Google Scholar 

  12. I.B. Bernstein and J.L. Hirschfield, Phys. Rev. A20, 1661 (1979).

    Google Scholar 

  13. R.C. Davidson and H.S. Uhm, Phys. Fluids23, 2076 (1980).

    Google Scholar 

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Authors and Affiliations

  1. Department of Electrical Engineering, University of California, 90024, Los Angeles, CA

    D. B. McDermott

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  1. D. B. McDermott
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McDermott, D.B. Effect of velocity spread on finite-length free electron laser gain. Int J Infrared Milli Waves 4, 1015–1027 (1983). https://doi.org/10.1007/BF01009325

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  • DOI: https://doi.org/10.1007/BF01009325

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