  Effects of beam emittance, energy spread, optical parameters and magnet
misalignment on beam polarization through particle transport systems are
investigated. Particular emphasis will be placed on the beam lines being used
at Fermilab for the development of the muon beam for the Muon g-2 experiment,
including comparisons with the natural polarization resulting from pion decay,
and comments on the development of systematic correlations among phase space
variables.
