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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 9 — Sep. 1, 1979
  • pp: 1311–1312

Second moment of the diffraction point spread function as an image quality criterion

Noah Bareket  »View Author Affiliations


JOSA, Vol. 69, Issue 9, pp. 1311-1312 (1979)
http://dx.doi.org/10.1364/JOSA.69.001311


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Abstract

The second moment of the point spread function is related to the second derivative of the optical transfer function at the origin by the moment theorem. The second moment is the sum of a contribution of the aperture amplitude distribution, which yields a sometimes infinite term, and a term that is directly related to the wave front aberrations. In practical applications it is possible to redefine the second moment such that a quality parameter, identical to one successfully used in lens design, is obtained.

© 1979 Optical Society of America

Citation
Noah Bareket, "Second moment of the diffraction point spread function as an image quality criterion," J. Opt. Soc. Am. 69, 1311-1312 (1979)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-69-9-1311


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References

  1. E. H. Linfoot, Recent Advances in Optics (Clarendon, Oxford, 1955).
  2. H. H.Hopkins, "The Use of Diffraction-based Criteria of Image Quality in Automatic Optical Design," Optica Acta 13, 343–369 (1966).
  3. M. H. Kreitzer, "Image Quality Criteria for Aberrated Systems," Ph.D. dissertation, University of Arizona (1976), (unpublished).
  4. B. Brixner, "Lens Design Merit Functions: RMS Image Spot Size and RMS Optical Path Difference," Appl. Opt. 17, 715–716 (1978).
  5. R. A. Muller and A. Buffrington, "Real-time Correction of Atmospherically Degraded Telescope Images Through Image Sharpening," J. Opt. Soc. Am. 64, 1200–1210 (1974).
  6. J. Y. Wang, "Phase-compensated Optical Beam Propagation Through Atmospheric Turbulence," Appl. Opt. 17, 2580–2590 (1978).
  7. N. Bareket and W. L. Wolfe, "Image Chopping Techniques for Fast Measurement of Irradiance Distribution Parameters," Appl. Opt. 18, 389–392 (1979).
  8. E. H. Linfoot, "Contrast Transmission at Low Spatial Frequencies," Optica Acta 6, 387–403 (1959).
  9. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  10. J. D. Gaskill, "Linear Systems, Fourier Transforms, and Optics" (Wiley, New York, 1978).

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