Recently there has been experimental and theoretical interest in cross-disp
ersion effects in rubidium vapor, which allows one beam of light to be guid
ed by another. We present theoretical results which account for the complic
ations created by the D line hyperfine structure of rubidium as well as the
presence of the two major isotopes of rubidium. This allows the complex fr
equency dependence of the effects observed in our experiments to be underst
ood and lays the foundation for future studies of nonlinear propagation.