Anisotropic hinge model for polarization-mode dispersion in installed fibers.

We discuss a generalized waveplate hinge model to characterize anisotropic effects associated with the hinge model of polarization-mode dispersion in installed systems. In this model, the action of the hinges is a random time-dependent rotation about a fixed axis. We obtain the probability density function of the differential group delay and the outage probability of an individual wavelength band using a combination of importance sampling and the cross-entropy method, and we then compute the noncompliant capacity ratio by averaging over wavelength bands.

Jones matrix for second-order polarization mode dispersion.

A Jones matrix is constructed for a fiber that exhibits first- and second-order polarization mode dispersion (PMD). It permits the modeling of pulse transmission for fibers whose PMD vectors have been measured or whose statistics have been determined by established PMD theory. The central portion of our model is a correction to the Bruyère model.

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 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.

Four-wave mixing in a rapidly-spun fiber.

In a previous paper the generalized Schroedinger equation that governs wave propagation in a rapidly-spun fiber was derived. In this paper the aforementioned equation is used to study four-wave mixing (FWM). The properties of FWM associated with a rapidly-spun fiber are described, and contrasted to those associated with constantly-birefringent and randomly-birefringent fibers.

Nonlinear wave propagation in a rapidly-spun fiber.

Multiple-scale analysis is used to study linear wave propagation in a rapidly-spun fiber and its predictions are shown to be consistent with results obtained by other methods. Subsequently, multiple-scale analysis is used to derive a generalized Schroedinger equation for nonlinear wave propagation in a rapidly-spun fiber. The consequences of this equation for pulse propagation and four-wave mixing are discussed briefly.