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@InProceedings{wong:napac2019-thzbb6, author = {C.Y. Wong and S.M. Lund}, title = {{Error Minimization in Transverse Phase-Space Measurements Using Quadrupole and Solenoid Scans}}, booktitle = {Proc. NAPAC'19}, pages = {971--974}, paper = {THZBB6}, language = {english}, keywords = {quadrupole, focusing, emittance, solenoid, linac}, 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-THZBB6}, url = {http://jacow.org/napac2019/papers/thzbb6.pdf}, note = {https://doi.org/10.18429/JACoW-NAPAC2019-THZBB6}, abstract = {Quadrupole and solenoid scans are common techniques where a series of beam profile measurements are taken under varying excitation of the linear focusing elements to unfold second-order phase-space moments of the beam at an upstream location. Accurate knowledge of the moments is crucial to machine tuning and understanding the underlying beam dynamics. The scans have many sources of errors including measurement errors, field errors and misalignments. The impact of these uncertainties on the moment measurement is often not analyzed. This study proposes a scheme motivated by linear algebra error bounds that can efficiently select a set of scan parameters to minimize the errors in measured initial moments. The results are verified via a statistical error analysis. These techniques are being applied at the Facility for Rare Isotope Beams (FRIB). We find that errors in initial moments can be large under conventional scans but are greatly reduced using the procedures described.}, }