2005
DOI: 10.2172/860349
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Controlled Electron Injection into Plasma Accelerators and SpaceCharge Estimates

Abstract: Doctor Wim P. Leemans, ChairPlasma based accelerators are capable of producing electron sources which are ultra-compact (a few microns) and high energies (up to hundreds of MeVs) in much shorter distances than conventional accelerators. This is due to the large longitudinal electric field that can be excited without the limitation of breakdown as in RF structures. The characteristic scalelength of the accelerating field is the plasma wavelength and for typical densities ranging from 10 18 − 10 19 cm −3 , the a… Show more

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“…However, as shown by Sacherer [10], they are still correct, within a few percent, for describing the linear part of the space charge force, for other distributions as well, as long as the distribution has ellipsoidal symmetry. A more detailed, relativisticallycorrect derivation is given by Fubiani [26].…”
Section: Appendix A: Detailed Derivation Of Hamiltonian For Linear Momentioning
confidence: 99%
“…However, as shown by Sacherer [10], they are still correct, within a few percent, for describing the linear part of the space charge force, for other distributions as well, as long as the distribution has ellipsoidal symmetry. A more detailed, relativisticallycorrect derivation is given by Fubiani [26].…”
Section: Appendix A: Detailed Derivation Of Hamiltonian For Linear Momentioning
confidence: 99%
“…Assuming that the laser pulses have flat top profiles and that they start to collide at t = 0, an analytical solution of Eq. ( 8) is given by [27]…”
Section: Review Of the Theorymentioning
confidence: 99%