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@InProceedings{rodriguezgarcia:napac2019-wepls03,
author = {Y. Rodriguez Garcia and J.F. Cardona},
title = {{Analytical Expression for a N-Turn Trajectory in the Presence of Quadrupole Magnetic Errors}},
booktitle = {Proc. NAPAC'19},
pages = {772--774},
paper = {WEPLS03},
language = {english},
keywords = {quadrupole, betatron, experiment, simulation, lattice},
venue = {Lansing, MI, USA},
series = {North American Particle Accelerator Conference},
number = {4},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {10},
year = {2019},
issn = {2673-7000},
isbn = {978-3-95450-223-3},
doi = {10.18429/JACoW-NAPAC2019-WEPLS03},
url = {http://jacow.org/napac2019/papers/wepls03.pdf},
note = {https://doi.org/10.18429/JACoW-NAPAC2019-WEPLS03},
abstract = {The action and phase jump method is a technique, based on the use of turn-by-turn experimental data in a circular accelerator, to find and measure local sources of magnetic errors through abrupt changes in the values of action and phase. At this moment, this method uses at least one pair of adjacent BPMs (Beam Position Monitors) to estimate the action and phase at one particular position in the accelerator. In this work, we propose a theoretical expression to describe the trajectory of a charged particle for an arbitrary number of turns when a magnetic error is present in the accelerator. This expression might help to estimate action and phase at one particular position of the accelerator using only one BPM in contrast to the current method that needs at least two BPMs.},
}