[Todos] Finding Failures in Optical Fibre Lines - Seminario de Ecuaciones Diferenciales y Analisis Numerico

[Sandra Martinez]

 Seminario de Ecuaciones Diferenciales y Analisis Numerico



Proxima Charla:





Martes 1 de Julio 14 hs, Aula E 24- Pab I.


Richard Moore

New Jersey Inst. of Tech.

Titulo: Finding Failures in Optical Fibre Lines

Prior to installation, fibre-optic communication lines must be
tested for robustness against environmental sources of noise;
typically, industry standards require that no more than one bit
in every billion be lost in transmission. Even where good physical
models for transmission exist, they typically involve stochastic
nonlinear partial differential equations that render typical
simplifying assumptions (e.g., that the distributions are Gaussian)
on transmitted pulse parameters (energy, position, etc.) invalid.
Performing simple Monte Carlo simulations on these systems is
equally problematic due to the computational expense involved.

We present a method that uses finite-dimensional reductions based
on perturbation theory and variational techniques in combination
with straightforward sampling methods to build a hybrid
analytical-computational approach to resolving these statistically
rare events in optical communication lines. Depending on the
quality of the finite-dimensional reduction, the efficiency of this
method is several orders of magnitude greater than simple Monte Carlo
simulations for a given accuracy. This is joint work with Gino
Biondini (SUNY Buffalo) and Bill Kath (Northwestern Univ.).


Estan todos cordialmente invitados.

Sandra Martinez

http://mate.dm.uba.ar/~smartin/seminario.htm
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