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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 59, Iss. 12 — Dec. 1, 1969
  • pp: 1632–1638

Fresnel Zone-Plate Diffraction Patterns

MURK BOTTEMA  »View Author Affiliations


JOSA, Vol. 59, Issue 12, pp. 1632-1638 (1969)
http://dx.doi.org/10.1364/JOSA.59.001632


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Abstract

The diffraction patterns of the central aperture and the first 10 rings of the classical Fresnel zone plate are calculated in the principal focal plane for off-axis distances as large as the radius of the 10th ring. The zone-plate pattern is found by summation; near the axis it is compared with closed-form approximations. The integrated flux within circles as large as the 10th ring is also calculated.

Citation
MURK BOTTEMA, "Fresnel Zone-Plate Diffraction Patterns," J. Opt. Soc. Am. 59, 1632-1638 (1969)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-59-12-1632


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References

  1. F. Zernike and B. R. A. Nijboer in La Théorie des Images Opliques (Revue d’ Optique, Paris, 1949), p. 227.
  2. B. R. A. Nijboer, thesis, Groningen, 1942; Physica 10, 679 (1947).
  3. J. Boersma, Math. Comp. 16, 232 (1962).
  4. A. V. Baez, J. Opt. Soc. Am. 51, 405 (1961).
  5. G. Möllenstedt, K. H. von Grote, and C. Jönsson in X-Ray Optics and X-Ray Microanalysis, H. H. Pattee, Ed. (Academic Press Inc., Newv York, 1963), p. 73.
  6. A. Boivin, Théorie et Calcule des Figures de Diffraction de Revolution (Les Presses de l’ Université Laval, Quebec, 1964), Ch. 5.
  7. Principles of Optics, M. Born and E. Wolf, Eds. (Pergamon Press, Inc., New York, 1959), p. 436.
  8. See Ref. 7, p. 397.

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