Collective instability of a free electron laser including space charge and harmonics

Murphy, J.B.; Pellegrini, C.; Bonifacio, R.

doi:10.1016/0030-4018(85)90331-1

Cited by 103 publications

(75 citation statements)

References 1 publication

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“…0, Eq. (9) reduces to S 1 ¼ ð k À " Þ 2 and we obtain the familiar cubic equation for k of the 1D highgain FEL, Figure 1 depicts how the scaled gain of the cold-beam 1D system varies with the detuning for several values of the space-charge parameter [20]. At resonance ( " ¼ 0) and in the absence of space-charge effects ( " p ¼ 0) dominant solutions to (12) are simply k ¼ 2L 1D k ¼ 1= ffiffiffi 3 p À i, and the 1D gain length is retrieved from L 1D ¼ 1=2 k i .…”

Section: A One-dimensional Limitmentioning

confidence: 91%

“…The maximum in the detuning curve varies in a complicated way with the parameters that specify the FEL. While these effects have been studied previously [20,22], they serve to demonstrate that the desired power-fit formula, calculated over a wide range of accessible parameters that still yield high-gain solutions, would be a useful tool over numerical solutions of the full equations for quick determination of the peak gain.…”

Section: B Fundamental Modementioning

confidence: 99%

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Gain length fitting formula for free-electron lasers with strong space-charge effects

Marcus

Hemsing

Rosenzweig

2011

Phys. Rev. ST Accel. Beams

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We present a power-fit formula, obtained from a variational analysis using three-dimensional freeelectron laser theory, for the gain length of a high-gain free-electron laser's fundamental mode in the presence of diffraction, uncorrelated energy spread, and longitudinal space-charge effects. The approach is inspired by the work of Xie [Nucl. Instrum. Methods Phys. Res., Sect. A 445, 59 (2000)], and provides a useful shortcut for calculating the gain length of the fundamental Gaussian mode of a free-electron laser having strong space-charge effects in the 3D regime. The results derived from analytic theory are in good agreement with detailed numerical particle simulations that also include higher-order space-charge effects, supporting the assumptions made in the theoretical treatment and the variational solutions obtained in the single-mode limit.

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Section: A One-dimensional Limitmentioning

confidence: 91%

Section: B Fundamental Modementioning

confidence: 99%

Gain length fitting formula for free-electron lasers with strong space-charge effects

Marcus

Hemsing

Rosenzweig

2011

Phys. Rev. ST Accel. Beams

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“…Raman regimes involve space-charge plasma waves, whose resulting forces acting on the electronic population are comparable to the forces produced by the ponderomotive potential well. [4][5][6][7][8] Space-charge effects in Raman regimes have been largely reported in the literature. Emphasis is mostly directed to issues related to instability and saturation levels of the electromagnetic mode, which are of central importance for FEL applications.…”

Section: Introductionmentioning

confidence: 99%

Mixing and space-charge effects in free-electron lasers

et al. 2013

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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 effects and the corresponding transition from Compton to Raman regimes. V C 2013 AIP Publishing LLC. [http://dx

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“…Once the spread in the longitudinal velocities of the electrons becomes sufficiently large to cause significant de-bunching over one power gain length, the FEL gain process strongly diminishes. Consequently, the       FEL gain grows exponentially as far as the following numerical condition applies to the beam fractional energy spread [28]:…”

Section: Merit Functions Of High Gain Free Electron Lasersmentioning

confidence: 99%

On the Importance of Electron Beam Brightness in High Gain Free Electron Lasers

Mitri

2015

Photonics

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Linear accelerators delivering high brightness electron beams are essential for driving short wavelength, high gain free-electron lasers (FELs). The FEL radiation output efficiency is often parametrized through the power gain length that relates FEL performance to electron beam quality at the undulator. In this review article we illustrate some approaches to the preliminary design of FEL linac-drivers, and analyze the relationship between the output FEL wavelength, exponential gain length and electron beam brightness. We extend the discussion to include FEL three-dimensional effects and electron beam projected emittances. Although mostly concentrating on FELs based upon self-amplified spontaneous emission (SASE), our findings are in some cases highly relevant to externally seeded FELs.

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Collective instability of a free electron laser including space charge and harmonics

Cited by 103 publications

References 1 publication

Gain length fitting formula for free-electron lasers with strong space-charge effects

Gain length fitting formula for free-electron lasers with strong space-charge effects

Mixing and space-charge effects in free-electron lasers

On the Importance of Electron Beam Brightness in High Gain Free Electron Lasers

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