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Optics Letters

Optics Letters


  • 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)

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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

A. E. Siegman, "Fiber Fourier optics," Opt. Lett. 26, 1215-1217 (2001)

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  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).
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  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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