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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 59, Iss. 11 — Nov. 1, 1969
  • pp: 1432–1439

General Diffraction Theory of Optical Aberration Tests, from the Point of View of Spatial Filtering

RICHARD BARAKAT  »View Author Affiliations


JOSA, Vol. 59, Issue 11, pp. 1432-1439 (1969)
http://dx.doi.org/10.1364/JOSA.59.001432


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Abstract

A general theory of optical-aberration tests, encompassing many well-known practical tests, is presented, utilizing the formalism of spatial filtering, employing coherent illumination. The basic diffraction integrals of the Ronchi-grating test, Foucault knife-edge test, phase Foucault knife-edge test, and the Zernike phase-contrast test are derived. Typical situations have been analyzed and numerical results are shown and discussed.

Citation
RICHARD BARAKAT, "General Diffraction Theory of Optical Aberration Tests, from the Point of View of Spatial Filtering," J. Opt. Soc. Am. 59, 1432-1439 (1969)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-59-11-1432


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References

  1. L. C. Martin, Technical Optics, Vol. 2 (Pitman and Sons, Ltd., London, 1960), 2nd ed.
  2. I. Adachi, Atti Fond. Ronchi 15, 461, 550 (1960).
  3. R. K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley, 1964).
  4. M. Kline and I. Kay, Electromagnetic Theory and Geometrical Optics (Wiley—Interscience, Inc., New York, 1965).
  5. In the integrations in this and succeeding sections, numerical constants have often been omitted, because the final normalization can be performed at the end of the analysis.
  6. G. Toraldo di Francia, in Optical Image Evaluation Symposium, Natl. Bur. Std. (U.S.) Circ. 526 (U. S. Gov't Printing Office, Washington, D. C., 1954), p. 161.
  7. P. Erdös, J. Opt. Soc. Am. 49, 865 (1959).
  8. H. H. Hopkins, Wave Theory of Aberrations (Oxford University Press, Oxford, 1950).
  9. Adachi has previously solved the case of an aberration-free defocused system and performed some low-frequency grating experiments, I. Adachi, Atti Fond. G. Ronchi 18, 344 (1963).
  10. A. Papoulis, The Fourier Integral and Its Applications (McGraw—Hill Book Co., New York, 1962), p. 38.
  11. E. H. Linfoot, Recent Advances in Optics, 2 (Oxford University Press, Oxford, 1958), Ch. 2.
  12. H. Wolther in Handbuch der Physik 24, S. Flügge, Ed. (Springer-Verlag, Berlin, 1956), p. 258.
  13. E. H. Linfoot, Proc. Phys. Soc. (London) 58, 759 (1946).
  14. S. C. Gascoigne, Monthly Not. Roy. Astron. Soc. 104, 326 (1945). Gascoigne treats the two-dimensional model. The author has rederived all of his results, using the theory of prolate spheroidal functions.
  15. F. Zernike, Physica 1, 689 (1934).
  16. C. R. Burch, Monthly Not. Roy. Astron. Soc. 94, 384 (1934).

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