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@inproceedings{beznosov:ipac2022-wepoms056, author = {O. Beznosov and D.P. Barber and J.A. Crittenden and J.A. Ellison and K.A. Heinemann and G.H. Hoffstaetter and D. Sagan}, % author = {O. Beznosov and D.P. Barber and J.A. Crittenden and J.A. Ellison and K.A. Heinemann and G.H. Hoffstaetter and others}, % author = {O. Beznosov and others}, title = {{Spin Matching and Monte-Carlo Simulation of Radiative Spin Depolarization in e⁺e⁻ Storage Rings with Bmad}}, booktitle = {Proc. IPAC'22}, % booktitle = {Proc. 13th International Particle Accelerator Conference (IPAC'22)}, pages = {2383--2386}, eid = {WEPOMS056}, language = {english}, keywords = {polarization, resonance, storage-ring, electron, lattice}, venue = {Bangkok, Thailand}, series = {International Particle Accelerator Conference}, number = {13}, publisher = {JACoW Publishing, Geneva, Switzerland}, month = {07}, year = {2022}, issn = {2673-5490}, isbn = {978-3-95450-227-1}, doi = {10.18429/JACoW-IPAC2022-WEPOMS056}, url = {https://jacow.org/ipac2022/papers/wepoms056.pdf}, abstract = {{The Bmad/Tao software toolkit has been extended to estimate the rate of radiative spin depolarization in e⁺/e⁻ storage rings. First estimates are made using the SLIM algorithm of linearized spin-orbit motion. The extension implements the effects on s-o motion of stochastic photon emission using a Monte-Carlo tracking algorithm. Spins are tracked in 3-D along particle trajectories with the aid of Taylor expansions of quaternions provided by PTC*. The efficiency of long-term tracking is guarantied by the use of a sectioning technique that was exploited in previous-generation software**. Sectioning is the construction of the deterministic s-o maps for sections between the dipoles during the initialization phase. Maps can be reused during the tracking. In a simulation for a realistic storage ring, the computational cost of initial map construction is amortized by the multi-turn tracking computational cost. The use of 1st-order terms in the quaternion expansions to construct the s-o coupling matrices in the matrices of the SLIM algorithm. These matrices are then available for an extension of the optimization facilities in Bmad to minimize depolarizing effects by spin matching.}}, }