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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 10, Iss. 11 — Nov. 1, 1971
  • pp: 2468–2475

Optical Fourier Transformation of Area-Modulated Spatial Functions

E. B. Felstead  »View Author Affiliations


Applied Optics, Vol. 10, Issue 11, pp. 2468-2475 (1971)
http://dx.doi.org/10.1364/AO.10.002468


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Abstract

A one-dimensional function may be represented spatially as an aperture in an opaque screen where the aperture’s width is proportional to the function. When such an area-modulated screen is the input to a standard coherent optical fourier transformer, the amplitude of the light along one axis on the output plane is proportional to the fourier transform of the original function. Continuous and sampled area modulation for single and multichannel operation are discussed. Experimental agreement with the expected results is obtained. Hybrid configurations combining area and optical-density modulation are discussed.

© 1971 Optical Society of America

History
Original Manuscript: May 17, 1971
Published: November 1, 1971

Citation
E. B. Felstead, "Optical Fourier Transformation of Area-Modulated Spatial Functions," Appl. Opt. 10, 2468-2475 (1971)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-10-11-2468


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References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  2. T. S. Gray, J. Franklin Inst. 212, 77 (1931). [CrossRef]
  3. H. C. Montgomery, Bell Syst. Tech. J. 17, 406 (1938).
  4. J. F. Schouten, Philips Tech. Rev. 3, 298 (1938).
  5. R. J. Drexler, Some General Comments on Optical Correlation Techniques, TIS Rept. R65ELS-86 (General Electric, 1965).
  6. P. Jacquinot, B. Roizen-Dossier, “Apodisation,” in Progress in Optics, E. Wolf, Ed. (North-Holland, Amsterdam, 1964), Vol. 3, pp. 41ff. [CrossRef]
  7. A. W. Lohmann, D. P. Paris, Appl. Opt. 7, 651 (1968). [CrossRef] [PubMed]

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