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Stochastic Dynamical Systems and Control |
| March 26, 2007 to March 30, 2007 |
| Organized By: Jonathan Mattingly (Duke), Igor Mezic (UCSB-Chair), Andrew Stuart (Warwick) |
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| Parent Programs: |
| Dynamical Systems |
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| Return to Workshop Description |
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Random dispersion and four-wave mixing in an optical fiber
Friday March 30, 2007
11:30AM - 12:00PM
Speakers:
Rudy Horne
Abstract:
Pairwise interactions of optical pulses lead to the creation of four-wave mixing products in the presence of periodic damping and amplification. In this talk, we give an overview of the analysis of how these four-wave mixing products are affected by small to moderate random dispersion. The analysis is fairly general, but is typically applied to sech-type and/or Gaussian-type input pulses. We use a reduced ODE model for the FWM product growth to show that these FWM products decrease as a function of the noise strength, $\bar{D}$. This work shows that weak random dispersion can effectively mitigate the deleterious effects of
four-wave mixing in certain optical fiber systems.
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