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 Noise in Optics
In many optical systems, noise plays an important role. A prominent example in fiber optics are deviations of the core from a circular cross-section to elliptic cross-sections whose ellipticity is changing within the fiber. Given the fact that it is practically impossible to gain complete information about those variations of the core, they can be described as stochastic perturbations, leading to so-called polarization mode dispersion (PMD). Since they are taking place on small scales, the main question is how they influence macroscopic observable, hence how they become manifest on larger scales.  My main collaborators are Ildar Gabitov (Arizona), Richard Moore (Newark), Misha Chertkov (Los Alamos), and Jie Yu (Manchester). Recent research focuses on:
  • Development of fast solvers for nonlinear PMD
  • Coarse-graining noise in the transition from nonlinear Maxwell's equations to the NLSE
  • Application of importance-sampling for identifying rare broadening events in optical fiber links
Read more (selected publications):

M. Chertkov, I. Gabitov, I. Kolokolov, T. Schäfer: Periodic Compensation of Polarization Mode Dispersion, JOSA B 21 (2004) 486-498.

T. Schäfer, R. O. Moore, C. K. R. T. Jones: Pulse propagation in media with deterministic and random dispersion variations,
Optics Communications 214 (2002) 353-362.