Linearized error analysis for an accelerator and application to the APS injector synchrotron

Abstract

This paper presents a tolerance Budget for accelerators dictated by the linear transverse dynamics of particle motion. The linearized equations satisfied by the particle motion when errors in the lattice are present are given along-with the solution to these equations. The forms of these errors giving rise to the linearized equation are stated. These results are used to derive a tolerance budget for the Advanced Photon Source (APS) injector synchrotron. This manuscript has been authored under contract nuiiber W31-109-ENG-38 with the U.S. Department of Energy. Accordingly, the U S. Govenmient retains a non-exclusive, royalty-free liceiise t o publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Govenurient purposes.

Beam loss distribution calculation and collimation efficiency simulation of a cooler storage ring in a heavy ion research facility

“…It is well known that the design of an accelerator differs from the operating conditions because of the idealized character of the forces used in the design stages [27]. Many errors, such as misalignment of the linear elements, magnetic field errors, and so on will lead to a distortion of the beam orbit and the changes of the lattice functions.…”

“…Because accelerator components usually have uniform or nearly uniform magnetic fields, the focusing functions K u are piecewise constant [15]. A new driving item in this differential equation will affect the beam trajectory when there is an error Δ and then the particle motion equation becomes [27,28]…”