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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 26, Iss. 16 — Aug. 15, 2001
  • pp: 1215–1217

Fiber Fourier optics

A. E. Siegman  »View Author Affiliations


Optics Letters, Vol. 26, Issue 16, pp. 1215-1217 (2001)
http://dx.doi.org/10.1364/OL.26.001215


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Abstract

The Fourier transform of a coherent optical image can be evaluated physically by use of a single lens plus free-space propagation, thereby providing the basis for the field of Fourier optics. I point out that one can similarly evaluate the discrete Fourier transform of a sampled or pixelated optical array physically by passing the discrete array amplitudes through a network of single-mode fibers or optical waveguides. A passive optical network that evaluates the fast Fourier transform of a coherent array can be fabricated by use of (N/2)log2[N] optical 3-dB couplers plus small added phase shifts. Implementing such networks in fiber or integrated optical form could provide the basis for a possible technology of fiber Fourier optics.

© 2001 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms

Citation
A. E. Siegman, "Fiber Fourier optics," Opt. Lett. 26, 1215-1217 (2001)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-26-16-1215


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References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  2. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).
  3. J. D. Gaskill, Linear Systems, Fourier Transforms, and Optics (Wiley, New York, 1978).
  4. J. W. Cooley and J. W. Tukey, “An algorithm for the machine computation of complex Fourier series,” Comput. Math. 19, 297–301 (1965).
  5. E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N. J., 1974).
  6. L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1975).
  7. J. W. Goodman, A. R. Dias, and L. M. Woody, “Fully parallel, high-speed incoherent optical method for performing discrete Fourier transforms,” Opt. Lett. 2, 1–3 (1978).

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