Real-time Fourier transformer based on fiber gratings.

@article{Muriel1999RealtimeFT,
  title={Real-time Fourier transformer based on fiber gratings.},
  author={Miguel A. Muriel and Jos{\'e} Aza{\~n}a and Alejandro Carballar},
  journal={Optics letters},
  year={1999},
  volume={24 1},
  pages={1-3}
}
We use the well-known duality between paraxial diffraction in space and dispersion in time to propose a time-domain analog to spatial Fraunhofer diffraction. This analog permits the design of real-time optical Fourier-transformer systems. These systems are shown to be realizable by use of linearly chirped fiber gratings as dispersive media. 
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