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@inproceedings{cathey:napac2022-mopa17, author = {B.L. Cathey and G. Stancari and T. Zolkin}, title = {{Symplectic Particle Tracking in a Thick Nonlinear McMillan Lens for the Fermilab Integrable Optics Test Accelerator (IOTA)}}, & booktitle = {Proc. NAPAC'22}, booktitle = {Proc. 5th Int. Particle Accel. Conf. (NAPAC'22)}, pages = {83--86}, eid = {MOPA17}, language = {english}, keywords = {electron, solenoid, optics, simulation, lattice}, venue = {Albuquerque, NM, USA}, series = {International Particle Accelerator Conference}, number = {5}, publisher = {JACoW Publishing, Geneva, Switzerland}, month = {10}, year = {2022}, issn = {2673-7000}, isbn = {978-3-95450-232-5}, doi = {10.18429/JACoW-NAPAC2022-MOPA17}, url = {https://jacow.org/napac2022/papers/mopa17.pdf}, abstract = {{The McMillan system is a novel method to increase the tune spread of a beam without decreasing its dynamic aperture due to the system’s integrability. While the ideal system is based on an infinitely thin kick, the physical design requires a thick electron lens, including a solenoid. Particle transport through the lens is difficult to simulate due to the nature of the force on the circulating beam. This paper demonstrates accurate simulation of a thick McMillan lens in a solenoid using symplectic integrators derived from Yoshida’s method.}}, }