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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 62, Iss. 12 — Dec. 1, 1972
  • pp: 1423–1429

Apodization for Optimum Imaging of Smooth Objects

ATHANASIOS PAPOULIS  »View Author Affiliations


JOSA, Vol. 62, Issue 12, pp. 1423-1429 (1972)
http://dx.doi.org/10.1364/JOSA.62.001423


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Abstract

The distortion of the image of an object, produced by diffraction, can be reduced by filtering. A class of filters is developed for minimizing the first term in the moment expansion of the error. The resulting spread functions have high attenuation rate, negligible side lobes, and are optimum for imaging smooth objects. One- and two-dimensional systems are considered; the analysis includes coherent and incoherent illumination.

Citation
ATHANASIOS PAPOULIS, "Apodization for Optimum Imaging of Smooth Objects," J. Opt. Soc. Am. 62, 1423-1429 (1972)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-62-12-1423


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References

  1. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).
  2. A. Papoulis, The Fourier Integral and its Applications (McGraw-Hill, New York, 1962).
  3. R. K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley, 1964).
  4. J. E. Wilkins, Jr., J. Opt. Soc. Am. 53, 420 (1963).
  5. G. Lansraux and G. Boivin, Can. J. Phys. 76, 1696 (1958).
  6. R. Barakat, J. Opt. Soc. Am. 52, 264 (1962).
  7. R. Barakat and E. Levin, J. Opt. Soc. Am. 53, 274 (1963).
  8. A. Papoulis, J. Opt. Soc. Am. 62, 77 (1972).
  9. A. Papoulis, Probability Random Variables and Stochastic Processes (McGraw-Hill, New York, 1965).
  10. N. I. Akhiezer, The Calculus of Variations (Blaisdell, New York, 1962).
  11. N. I. Akhiezer, Theory of Approximation, (Ungar, New York, 1956).
  12. E. Marchand, J. Opt. Soc. 54, 915 (1964).
  13. A. Papoulis, IEEE Trans. IT-14, 164 (1968).

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