“…II A that are used in our simulation. As a result, this simulation includes (1) the full solution to the coupled alkali-hybrid polarization equations, (2) the effect of off-resonant absorption by the Rb D2 & K Dn lines with realistic absorption lineshapes, (3) radiation trapping, which is included "by hand" by using the factors X a & X a , (4) skew optical pumping [27], and (5) effects associated with nonzero excited state populations. The role of each of these effects, which until recently [28,29] have not been included in most optical pumping simulations, can be understood by generalizing Eqn.…”