Discrete Fourier transforms by single-mode star networks.

@article{Marhic1987DiscreteFT,
  title={Discrete Fourier transforms by single-mode star networks.},
  author={Michel E. Marhic},
  journal={Optics letters},
  year={1987},
  volume={12 1},
  pages={63-5}
}
A single-mode star network, made from polarization-preserving components, can perform the spatial discrete Fourier transform of coherent light patterns presented at the inputs. This can be accomplished with passive components, such as 2 x 2 couplers, and propagation delays. The Hadamard transform can be performed similarly. 
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