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@inproceedings{plassard:ipac2021-tupab227, author = {F. Plassard and Y. Hidaka and Y. Li and T.V. Shaftan and V.V. Smaluk and G.M. Wang}, title = {{Simultaneous Compensation of Phase and Amplitude Dependent Geometrical Resonances Using Octupoles}}, booktitle = {Proc. IPAC'21}, pages = {1960--1963}, eid = {TUPAB227}, language = {english}, keywords = {octupole, sextupole, lattice, emittance, resonance}, venue = {Campinas, SP, Brazil}, series = {International Particle Accelerator Conference}, number = {12}, publisher = {JACoW Publishing, Geneva, Switzerland}, month = {08}, year = {2021}, issn = {2673-5490}, isbn = {978-3-95450-214-1}, doi = {10.18429/JACoW-IPAC2021-TUPAB227}, url = {https://jacow.org/ipac2021/papers/tupab227.pdf}, note = {https://doi.org/10.18429/JACoW-IPAC2021-TUPAB227}, abstract = {{As the new generation of light sources are pushing toward diffraction limited storage rings with ultra-low emittance beams, nonlinear beam dynamics become increasingly difficult to control. It is a common practice for modern designs to use a sextupole scheme that allows simultaneous correction of natural chromaticity and energy independent, or geometrical, sextupolar resonances. However, the remaining higher order terms arising from the cross talks of the sextupole families set a strong limitation on the achievable dynamic aperture. This paper presents a simulation-based recipe to use octupoles together with this sextupole scheme to provide simultaneous self-compensation of linear amplitude dependent tune shift together with phase-dependent octupolar and higher order geometrical resonant driving terms. The correction method was built based on observations made on a simple FODO model, then applied to a realistic low emittance lattice, designed in the framework of the upgrade of the National Synchrotron Light Source II (NSLS-II).}}, }