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@inproceedings{gorlov:napac2022-wepa34, author = {T.V. Gorlov}, title = {{Transfer Maps in the Hard-Edge Limit of Quadrupole and Bend Magnets Fringe Fields}}, & booktitle = {Proc. NAPAC'22}, booktitle = {Proc. 5th Int. Particle Accel. Conf. (NAPAC'22)}, pages = {705--707}, eid = {WEPA34}, language = {english}, keywords = {quadrupole, dipole, collider, space-charge, linear-dynamics}, 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-WEPA34}, url = {https://jacow.org/napac2022/papers/wepa34.pdf}, abstract = {{Beam dynamics of charged particles in the fringe field of a quadrupole and a dipole magnet is considered. An effective method for solving symplectic Lie map exp(:f:) in such cases has been developed. A precise analytic solution for nonlinear transverse beam dynamics in a quadrupole magnet with hard-edge fringe field has been obtained. The method of Lie map calculation considered here can be applied for other magnets and for soft edge type of fringe field.}}, }