March 2017, Volume 11 - Isuue 1 (9 صفحه - از 27 تا 35)
An analytical model for the interaction of charged particle beams and plasma for a wakefield generation in a parabolic plasma channel is presented. In the suggested model, the plasma density profile has a minimum value on the propagation axis. A Gaussian proton beam is employed to excite the plasma wakefield in the channel. While previous works investigated on the simulation results and on the perturbation techniques in case of laser wakefield accelerations for a parabolic channel, we have carried out an analytical model and solved the accelerating field equation for proton beam in a parabolic plasma channel. The solution is expressed by Whittaker (hypergeometric) functions. Effects of plasma channel radius, proton bunch parameters and plasma parameters on the accelerating processes of proton driven plasma wakefield acceleration are studied. Results show that the higher accelerating fields could be generated in the PWFA scheme with modest reductions in the bunch size. Also, the modest increment in plasma channel radius is needed to obtain maximum accelerating gradient. In addition, the simulations of longitudinal and total radial wakefield in parabolic plasma channel are presented using LCODE. It is observed that the longitudinal wakefield generated by the bunch decreases with the distance behind the bunch while total radial wakefield increases with the distance behind thebunch.خلاصه ماشینی:
"An analytical model for the interaction ofcharged particle beams and plasma for a wakefield generation in a parabolic plasma channel is presented. While previous works investigated on the simulationresults and on the perturbation techniques in case of laserwakefield accelerations for a parabolic channel, we havecarried out an analytical model and solved the acceleratingfield equation for proton beam in a parabolic plasmachannel. In addition, thesimulations of longitudinal and total radial wakefield inparabolic plasma channel are presented using LCODE. In our recent work , we presented for the first time athorough analytical model and solved the governingequations for the wakefield acceleration by proton beam ina parabolic density profile plasma, where the maximumplasma density is on the beam propagation axis along the z-& D. 1007/s40094-016-0235-7 Gaussian beam LCODE Parabolic plasmachannel Plasma wakefield accelerator Whittakerfunctions direction. Thegoverning equations and the solution for the longitudinalwakefield Ez is obtained analytically and the effects of theplasma channel radius, proton bunch parameters and wavenumber of plasma on the longitudinal electric field areinvestigated. 30 J Theor Appl Phys (2017) 11:27–35 (View the image of this page) In Fig. 3, the variation of longitudinal electric field atdifferent longitudinal size of the proton bunch is shown. ConclusionA plasma channel with a parabolic density profile wasconsidered as the proposed model for investigation ofproton driven plasma wakefield acceleration. : Proton-driven plasma wakefield acceleration:a path to the future of high-energy particle physics. : Electron trapping and acceleration by the plasma wakefield ofa self-modulating proton beam."
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