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@inproceedings{southerby:linac2022-tupori19, author = {M.J.W. Southerby and R. Apsimon}, title = {{Beam Dynamics Framework Incorporating Acceleration Used to Define the Minimum Aperture of RF Cavity For FODO-like Focusing Scheme for Proton Radiotherapy Linac}}, booktitle = {Proc. LINAC'22}, % booktitle = {Proc. 31st International Linear Accelerator Conference (LINAC'22)}, pages = {589--592}, eid = {TUPORI19}, language = {english}, keywords = {cavity, quadrupole, acceleration, focusing, lattice}, venue = {Liverpool, UK}, series = {International Linear Accelerator Conference}, number = {31}, publisher = {JACoW Publishing, Geneva, Switzerland}, month = {09}, year = {2022}, issn = {2226-0366}, isbn = {978-3-95450-215-8}, doi = {10.18429/JACoW-LINAC2022-TUPORI19}, url = {https://jacow.org/linac2022/papers/tupori19.pdf}, abstract = {{In this paper, we present a generalised analytical framework for beam dynamics studies and lattice designs, while incorporating longitudinal acceleration of bunches of charged particles. We study a ’FODO-like’ scheme, whereby we have an alternating array of focusing and defocusing quadrupoles and study how this differs from a standard FODO lattice due to acceleration. We present optimisation techniques to provide quadrupole parameters, cavity lengths, and required drift lengths under different constraints.}}, }