Pairwise interactions and a Four-Wave Mixing model for the Vector NLS equation (Rudy Horne, UNC-Chapel Hill)

Abstract: In wavelength-division multiplexing (WDM) systems, two effects which play significant roles in pulse propagation are four-wave mixing (FWM) product growth and polarization effects of the pulse. Using a vector NLS equation, we derive a model that describes the FWM product growth for fixed polarization angles. We show that the FWM product growth is a function of the difference between the respective polarization angles. Also, we show how the dynamics can be viewed on the Poincare sphere. We also propose some ways to apply this analysis in the case of random polarization angles.

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This is an abstract of a talk to be presented at the 2004 SEAMS Workshop in Charleston, SC. For more information, visit the workshop's homepage at math.cofc.edu/SEAMS.