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@InProceedings{balcewicz:napac2019-tuplm12,
author = {M.A. Balcewicz and M. Blaskiewicz and Y. Hao},
title = {{Method for a Multiple Square Well Model to Study Transverse Mode Coupling Instability}},
booktitle = {Proc. NAPAC'19},
pages = {395--398},
paper = {TUPLM12},
language = {english},
keywords = {DTL, collective-effects, space-charge, longitudinal-dynamics, simulation},
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-TUPLM12},
url = {http://jacow.org/napac2019/papers/tuplm12.pdf},
note = {https://doi.org/10.18429/JACoW-NAPAC2019-TUPLM12},
abstract = {In the high intensity limit it can become difficult to simulate intense beams sufficiently within a short time scale due to collective effects. Semi-Analytic methods such as the Square Well Model*/AirBag Square Well** (SWM/ABS) exist to estimate collective effects within a short time scale. SWM/ABS discretizes the longitudinal confining potential into a single square well enforcing linearity for the case of linear transverse optics. A method is proposed here to extend the Square Well Method multiple square wells. This method preserves linearity properties that make it easily solvable within a short time scale as well as including nonlinear effects from the longitudinal potential shape.},
}