1. Current Status of Ion Polarization Studies
Old contract with Kondratenko’s group ended on 6/15/17
All milestones through 6/15/17 have been achieved
Spin tracking simulations using verified existing codes 
Evaluation and compensation of the spin effect of the detector solenoid 
Analysis of the betatron oscillation coupling effect on the polarization control scheme in the collider 
Study of 1st-order effects of non-linear fields and higher-order spin resonances 
Draft annual report has been finalized and is being translated
Started work on a new contract from 6/16/17-6/15/18
An abstract has been submitted to DSPIN’17

2. Spin Effect of Detector Solenoid
Solenoid compensation scheme
Solenoid effect on the spin tune and stable polarization components
Additional spin rotators are needed for compensation of the detector solenoid

3. Spin Effect of Betatron Coupling
Without coupling, the incoherent part of zero-integer spin resonance strength is
vertical
determined by the vertical emittance
In the presence of coupling, the incoherent part
has horizontal component
depends on both horizontal and vertical emittances
makes little difference for round beams
for flat beams, the incoherent part may increase by up to emittance ratio and may require larger spin tune for stabilization

4. Nonlinear Effects and Higher-Order Spin Resonances
Nonlinearity of orbital motion
Described by the incoherent part of the zero-integer spin resonance
Proportional to the vertical emittance
Nonlinear magnetic fields
Straight sextupoles and octupoles do not contribute to spin resonances
Contribution to the incoherent part comes from skew sextupoles

5. Current and Future Work
Deliverables for the period of 6/16/2017 – 6/15/2018 1st and 2nd quarters
Evaluation of crab crossing effect on ion and electron polarizations (in progress)
Investigate implementation of the Spin Response Function method for suppression of depolarization in the interaction region including the beam-beam influence on the ion and electron spins
Development of Spin Matching design for increasing electron polarization lifetime
3rd and 4th quarters
Design and optimization of an electron spin rotator with vertical bends to improve ion polarization performance and reduce ion collider ring circumference by keeping the ion ring flat
Continue Spin Matching design for increasing electron polarization lifetime
Proof-of-principle simulations