Author: Ng, K.Y.
Paper Title Page
TUPEA035 Plasma Effect in the Longitudinal Space Charge Induced Microbunching Instability 1220
 
  • D. Huang, Q. Gu
    SINAP, Shanghai, People's Republic of China
  • K.Y. Ng
    Fermilab, Batavia, USA
 
  Funding: National Science Foundation of China (NSFC), grant No. 11275253, and US DOE, contract DE-FG02-92ER40747.
In many cases, the lon­gi­tu­di­nal space charge (LSC) is a dom­i­nant fac­tor to bring in the mi­crobunch­ing in­sta­bil­ity in the LINAC of a Free-Elec­tron-Laser (FEL) fa­cil­ity. The cur­rent model of LSC im­ped­ance* de­rived from the fun­da­men­tal elec­tro­mag­netic theor** is widely used to ex­plain the physics of the LSC-in­duced mi­crobunch­ing in­sta­bil­ity***. How­ever, in the case of highly bright elec­tron beams, the plasma ef­fect starts to play a role. In this paper, the basic model of the LSC im­ped­ance in­clud­ing the plasma ef­fect is built up by solv­ing the Vlasov and Pois­son equa­tions in 6 di­men­sional phase space, and the in­ves­ti­ga­tion is done to study the mod­i­fi­ca­tion to the gain of the in­sta­bil­ity based on the model. The so­lu­tions in­di­cate that the gain does not only de­pend on the spa­tial in­for­ma­tion of the beam, but also on the ve­loc­ity (mo­men­tum) and time in­for­ma­tion. The com­par­i­son of the gains of the mi­crobunch­ing in­sta­bil­ity in the LINAC of Shang­hai soft X-ray Free Elec­tron Laser Fa­cil­ity (SXFEL) com­puted by var­i­ous meth­ods is also given and the dis­crep­ancy is il­lus­trated.
* Marco Venturini, Phys. Rev. ST Accel. Beams 11, 034401 (2008)
** J. D. Jackson, Classical Electrodynamics (Wiley, 1999)
*** Z. Huang, et. al., Phys, Rev. ST Accel. Beams 7, 074401 (2004)