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Electron Trajectory in an Undulator with Dipole Field and BPM Errors
Author(s) -
P. Emma
Publication year - 2005
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/839700
Subject(s) - undulator , trajectory , physics , dipole , planar , position (finance) , field (mathematics) , electron , optics , computational physics , beam (structure) , computer science , nuclear physics , mathematics , quantum mechanics , economics , pure mathematics , computer graphics (images) , finance
A statistical analysis of a corrected electron trajectory through a planar undulator is presented. The undulator is composed of multiple modular sections each containing N dipoles with random field strength errors and misaligned beam position monitors (BPMs) between each section. An analytical formula for the rms trajectory is derived to aid in the understanding of the impacts of BPM location and alignment on the trajectory. The results are applied to the LCLS FEL undulator where the requirements on electron trajectory straightness are very demanding.

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