Mixing and space-charge effects in free-electron lasers

Peter, E.; Endler, Antônio; Rizzato, Felipe Barbedo; Serbêto, A.

doi:10.1063/1.4841375

Cited by 7 publications

(33 citation statements)

References 20 publications

(27 reference 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%

“…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%

“…(8), the corpuscular electron population has been converted into an averaged charged fluid that can be analyzed with similar tools as those used in Ref. 6. In particular, we shall look for singularities in the compressibility, as those indicate the onset of mixing leading to saturation.…”

Section: B the Warm Fluid Modelmentioning

confidence: 99%

“…6 We can therefore switch from the original variables h and c to the more recognizable phase-space pair h, _ h, with the needed relation between general small deviations for _ h and c from their respective averages given in the form dc ¼ 2k …”

Section: B the Warm Fluid Modelmentioning

confidence: 99%

“…The compressibility has been proved useful to determine the transition from laminar to mixing regimes of cold, or monoenergetic, electron beams in FELs. 6 Compressibility, the inverse of the density function, vanishes at transition and indicates therefore the formation of singular fluid densities that foreshadow the onset of mixing in the phase-space of the electron beam. 7 As the electron beam undergoes mixing, coherence is lost and the amplifying signals saturates.…”

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confidence: 99%

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Nonlinear model for thermal effects in free-electron lasers

2014

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In the present work, we extend results of a previous paper [Peter et al., Phys. Plasmas 20, 12 3104 (2013)] and develop a semi-analytical model to account for thermal effects on the nonlinear dynamics of the electron beam in free-electron lasers. We relax the condition of a cold electron beam but still use the concept of compressibility, now associated with a warm beam model, to evaluate the time scale for saturation and the peak laser intensity in high-gain regimes. Although vanishing compressibilites and the associated divergent densities are absent in warm models, a series of discontinuities in the electron density precede the saturation process. We show that full wave-particle simulations agree well with the predictions of the model. V C 2014 AIP Publishing LLC. [http://dx

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Section: Governing Equationsmentioning

confidence: 99%

Section: B the Warm Fluid Modelmentioning

confidence: 99%

Section: B the Warm Fluid Modelmentioning

confidence: 99%

Section: B the Warm Fluid Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Nonlinear model for thermal effects in free-electron lasers

2014

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Radiation Reaction in Spatially Modulated Fields Accelerators

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Growth rate for free-electron lasers through a warm beam layered model

2016

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In the present work, we describe the linear growth rate of the laser field for a one-dimensional theoretical single-pass free-electron laser, including space-charge and thermal effects, in the hydrodynamical regime. In a recent work (Peter, Endler & Rizzato, Phys. Plasmas, vol. 21, 2014, 113104), the thermal effects were already included for a water-bag initial distribution for the longitudinal velocities of the particles of the beam. Here, we extend the result for different and symmetrical initial distributions, considering that in the hydrodynamical regime, the beam can be thought of as a warm fluid composed of a sum of different fluids with different densities, where the initial distribution of each fluid is a water-bag distribution. The total pressure of the beam is related to the sum of the pressures of these fluids. This approach is much less complicated than the kinetic approach. We compare the results given by the linear set of equations and wave–particle simulations for water-bag and Gaussian initial distributions. The evolution of the particle distribution in the phase space is also shown in order to demonstrate that the assumption of the sum of different fluids reproduces the physics of the system in a reasonable fashion.

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Mixing and space-charge effects in free-electron lasers

Cited by 7 publications

References 20 publications

Nonlinear model for thermal effects in free-electron lasers

Nonlinear model for thermal effects in free-electron lasers

Radiation Reaction in Spatially Modulated Fields Accelerators

Growth rate for free-electron lasers through a warm beam layered model

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