dorsal/arxiv
View SchemaLongitudinal Wake Field for an Electron Beam Accelerated through a Ultra-High Field Gradient
| Authors | Gianluca Geloni, Evgeni Saldin, Evgeni Schneidmiller, Mikhail Yurkov |
|---|---|
| Categories | |
| ArXiv ID | physics/0612077 |
| URL | https://arxiv.org/abs/physics/0612077 |
| DOI | 10.1016/j.nima.2007.05.120 |
| Journal | Nucl.Instrum.Meth.A578:34-46,2007 |
Abstract
Electron accelerators with higher and higher longitudinal field gradients are desirable, as they allow for the production of high energy beams by means of compact and cheap setups. The new laser-plasma acceleration technique appears to constitute the more promising breakthrough in this direction, delivering unprecedent field gradients up to TV/m. In this article we give a quantitative description of the impact of longitudinal wake fields on the electron beam. Our paper is based on the solution of Maxwell's equations for the longitudinal field. Our conclusions are valid when the acceleration distance is much smaller than the the overtaking length, that is the length that electrons travel as a light signal from the tail of the bunch overtakes the head of the bunch. This condition is well verified for laser-plasma devices. We calculate a closed expression for the impedance and the wake function that may be evaluated numerically. It is shown that the rate of energy loss in the bunch due to radiative interaction is equal to the energy emitted through coherent radiation in the far-zone. Furthermore, an expression is found for the asymptotic limit of a large distance of the electron beam from the accelerator compared with the overtaking length. Such expression allows us to calculate analytical solutions for a Gaussian transverse and longitudinal bunch shape. Finally, we study the feasibility of Table-Top Free-Electron Lasers in the Vacuum Ultra-Violet (TT-VUV FEL) and X-ray range (TT-XFEL), respectively based on 100 MeV and 1 GeV laser-plasma accelerator drivers. Numerical estimations presented in this paper indicate that the effects of the time-dependent energy change induced by the longitudinal wake pose a serious threat to the operation of these devices.
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"abstract": "Electron accelerators with higher and higher longitudinal field gradients are\ndesirable, as they allow for the production of high energy beams by means of\ncompact and cheap setups. The new laser-plasma acceleration technique appears\nto constitute the more promising breakthrough in this direction, delivering\nunprecedent field gradients up to TV/m. In this article we give a quantitative\ndescription of the impact of longitudinal wake fields on the electron beam. Our\npaper is based on the solution of Maxwell\u0027s equations for the longitudinal\nfield. Our conclusions are valid when the acceleration distance is much smaller\nthan the the overtaking length, that is the length that electrons travel as a\nlight signal from the tail of the bunch overtakes the head of the bunch. This\ncondition is well verified for laser-plasma devices. We calculate a closed\nexpression for the impedance and the wake function that may be evaluated\nnumerically. It is shown that the rate of energy loss in the bunch due to\nradiative interaction is equal to the energy emitted through coherent radiation\nin the far-zone. Furthermore, an expression is found for the asymptotic limit\nof a large distance of the electron beam from the accelerator compared with the\novertaking length. Such expression allows us to calculate analytical solutions\nfor a Gaussian transverse and longitudinal bunch shape. Finally, we study the\nfeasibility of Table-Top Free-Electron Lasers in the Vacuum Ultra-Violet\n(TT-VUV FEL) and X-ray range (TT-XFEL), respectively based on 100 MeV and 1 GeV\nlaser-plasma accelerator drivers. Numerical estimations presented in this paper\nindicate that the effects of the time-dependent energy change induced by the\nlongitudinal wake pose a serious threat to the operation of these devices.",
"arxiv_id": "physics/0612077",
"authors": [
"Gianluca Geloni",
"Evgeni Saldin",
"Evgeni Schneidmiller",
"Mikhail Yurkov"
],
"categories": [
"physics.acc-ph"
],
"doi": "10.1016/j.nima.2007.05.120",
"journal_ref": "Nucl.Instrum.Meth.A578:34-46,2007",
"title": "Longitudinal Wake Field for an Electron Beam Accelerated through a Ultra-High Field Gradient",
"url": "https://arxiv.org/abs/physics/0612077"
},
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