Analytical treatment of the emittance growth in the main Linacs of future linear colliders

Details Analytical treatment of the emittance growth in the main Linacs of future linear colliders Analytical treatment of the emittance growth in the main Linacs of future linear colliders

2000-05-09

arxiv.org/abs/physics/0005022v1

Nucl.Instrum.Meth. A441 (2000) 314-319

Physics

Accelerator Physics

16 pages, 14 figures

Scientific paper

10.1016/S0168-9002(99)00987-0

In this paper the single and multibunch emittance growths in the main linac of a linear collider are analytically treated in analogy to the Brownian motion of a molecule, and the analytical formulae for the emittance growth due to accelerating structure misalignment errors are obtained by solving Langevin equation. The same set of formulae is derived also by solving directly Fokker-Planck equation. Comparisons with numerical simulation results are made and the agreement is quite well.

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