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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 2 — Feb. 1, 1966
  • pp: 215–217

Variations on the Fresnel Zone Plate

GARY S. WALDMAN  »View Author Affiliations

JOSA, Vol. 56, Issue 2, pp. 215-217 (1966)

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The effects of contrast in the Fresnel zone plate on the amplitude in the focal point due to a normally incident plane wave are obtained by direct evaluation of the Fresnel-Kirchhoff diffraction integral. The change in focal-point amplitude due to smoothing the ordinary, discontinuous, “square-wave” transmission function into a continuous, “sine-wave” function is also calculated. Finally, an expression is derived for the amplitude in the point image due to a plane wave impinging on the zone plate at a small angle of incidence.

GARY S. WALDMAN, "Variations on the Fresnel Zone Plate," J. Opt. Soc. Am. 56, 215-217 (1966)

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  1. R. W. Wood, Physical Optics (The Macmillan Company, New York, 1934), p. 37.
  2. O. Myers, Am. J. Phys. 19, 359 (1951).
  3. K. Kamiya, Sci. Light 12, 35 (1963).
  4. M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 377.
  5. Reference 4, p. 369.
  6. Reference 4, p. 379.

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