2013
DOI: 10.1063/1.4841375
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Mixing and space-charge effects in free-electron lasers

Abstract: The present work revisits the subjects of mixing, saturation, and space-charge effects in free-electron lasers. Use is made of the compressibility factor, which proves to be a helpful tool in the related systems of charged beams confined by static magnetic fields. The compressibility allows to perform analytical estimates of the elapsed time until the onset of mixing, which in turn allows to estimate the saturated amplitude of the radiation field. In addition, the compressibility helps to pinpoint space-charge… Show more

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Cited by 7 publications
(33 citation statements)
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“…6 We do not intend to cover all the steps again, but we need to see how the thermal effects come about in the simplified model. We shall start with a brief review of the governing equations for the full wave-particle dynamics and then proceed to the discussion of the appropriate warm fluid simplified model.…”
Section: Governing Equationsmentioning
confidence: 99%
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“…6 We do not intend to cover all the steps again, but we need to see how the thermal effects come about in the simplified model. We shall start with a brief review of the governing equations for the full wave-particle dynamics and then proceed to the discussion of the appropriate warm fluid simplified model.…”
Section: Governing Equationsmentioning
confidence: 99%
“…The term proportional to g 2 is the approximation for the space-charge term, developed in the same mentioned reference under the condition that fluid elements do not overtake each other. 6 We note that the convenient inclusion of the detuning into a rescaled laser field allows to take the initial value of fluid variable _ h in the simplified model as zero.…”
Section: B the Warm Fluid Modelmentioning
confidence: 99%
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