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Opt Lett. 2011 Jun 15;36(12):2321-3. doi: 10.1364/OL.36.002321.

Generalized fiber Fourier optics.

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Department of Applied Electronics, University Roma Tre, via della Vasca Navale 84, I-00146 Rome, Italy.


A twofold generalization of the optical schemes that perform the discrete Fourier transform (DFT) is given: new passive planar architectures are presented where the 2 × 2 3 dB couplers are replaced by M × M hybrids, reducing the number of required connections and phase shifters. Furthermore, the planar implementation of the discrete fractional Fourier transform (DFrFT) is also described, with a waveguide grating router (WGR) configuration and a properly modified slab coupler.


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