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Small-signal gain of Free Electron Laser in a resonator Gaussian mode

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Abstract

We present an analytical expression for the small-signal gain of a Free Electron Laser (FEL) in the presence of a Gaussian mode. To describe the electron beam evolution we use the one-dimensional (1-d) Vlasov equation. Our perturbation result, valid for small values of the parameterq (length of the undulatorL divided by the Rayleigh rangeZ R), can be extrapolated to values ofq≈4÷5.

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References

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Boscolo, I., Gallardo, J. Small-signal gain of Free Electron Laser in a resonator Gaussian mode. Appl. Phys. B 35, 163–166 (1984). https://doi.org/10.1007/BF00697707

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  • DOI: https://doi.org/10.1007/BF00697707

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