ABSTRACT
In this report, multiple-scale analysis (averaging) is used to derive the generalized Schrödinger 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 significances are known. Not only does the Stokes-space formalism unify the derivations of the aforementioned Schrödinger equations, it also produces equations directly in Jones-Stokes notation, which facilitates subsequent studies of polarization effects in optical systems.
ABSTRACT
The nonlinear Schrödinger equation predicts conical emission that is due to spatiotemporal propagation of short pulses in normally dispersive, cubically nonlinear media. This effect is a direct consequence of a four-wave interaction.
ABSTRACT
The threshold at which self-focusing initially dominates the dynamics of short-pulse propagation in normally dispersive bulk media, causing an explosive increase in peak intensity, is estimated analytically and verified numerically. Intensity-dependent propagation effects such as spectral broadening also occur explosively at this threshold.
ABSTRACT
We present a linear stability analysis of two-dimensional continuous waves and one-dimensional temporal solitons in nonlinear-optical fiber arrays. Guided by this analysis, we use numerical integrations of the governing equations to show that these arrays are all-optical switching devices. Light injected into the N-fiber array is temporally compressed and spatially localized into a few fibers on output.
