Stokes-space derivations of generalized Schrodinger equations for wave propagation in various fibers

In this report, multiple-scale analysis (averaging) is used to derive the generalized Schrodinger equations that govern light-wave propagation in strongly- birefringent, randomly-birefringent and rapidly-spun fibers. The averaging procedures are described in Jones space and Stokes space. Despite the differences between the aforementioned fibers, the Stokes-space procedures associated with them are similar, and involve only quantities whose physical signficances are known. Not only does the Stokes-space formalism unify the derivations of the aforementioned Schrodinger equations, it also produces equations directly in Stokes-vector notation, which facilitates subsequent studies of polarization effects in optical systems.