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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: 1639–1644

Images of an Incoherent Triangular-Wave Pattern by a Slit Aperture in the Presence of Defocusing

K. SINGE and K. N. CHOPRA  »View Author Affiliations

JOSA, Vol. 59, Issue 12, pp. 1639-1644 (1969)

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The effect of defocusing on the diffraction images of a general periodic triangular-wave object has been investigated for the case of a narrow rectangular aperture. Results in the form of curves have been given for irradiance distribution and contrast in the images. The aperture has been assumed to be illuminated incoherently. A close similarity has been shown between the sine-wave response and triangular-wave response of a particular object function.

K. SINGE and K. N. CHOPRA, "Images of an Incoherent Triangular-Wave Pattern by a Slit Aperture in the Presence of Defocusing," J. Opt. Soc. Am. 59, 1639-1644 (1969)

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  1. E. H. Lnfoot, Fourier Methods in Optical Image Evaluation (Focal Press, London, 1964).
  2. E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley Publ. Co., Inc., Reading, Mass., 1963).
  3. Principles of Optics, M. Born and E. Wolf, Eds. (Pergamon Press, Inc., New York, 1964), p. 484.
  4. E. B. Brown, Modern Optics (Reinhold Publishing Corp., New York, 1965), Ch. 9, p. 479.
  5. K. Muratah in Progress in Optics V, E. Wolf, Ed. (North-Holland Publishing Co., Amsterdam, 1966), Ch. IV, p. 201.
  6. J. W. Coltman, J. Opt. Soc. Am. 44, 468 (1954).
  7. F. W. Rosberry, J. Res. Natl. Bur. Std. (U.S.) 64C, 57 (1960).
  8. S. H. Emara, J. Res. Natl. Bur. Std. (U.S.) 65A, 465 (1961).
  9. A. Maréchal and M. Françon, Diffraction, Structure des Images (Editions de la Revue d'Optique, Paris, 1960).
  10. A. Newman, R. Barakat, and R. Humphreys, Appl. Opt. 5, 670 (1966).
  11. F. Kottler and F. H. Perrin, J. Opt. Soc. Am. 56, 377 (1966).
  12. K. Singh and A. K. Kavathekar, J. Opt. Soc. Am, 59, 936 (1969).
  13. R. Barakat and A. Houston, J. Opt. Soc. Am. 53, 1371 (1963).
  14. A. W. Lohmann, Optik 14, 510 (1957).
  15. A. W. Lohmann, Appl. Opt. 5, 669 (1966).
  16. A. Förstner and H. Köhler, Optik 17, 434 (1960).
  17. G. R. Sapper and H. P. Pulvermacher, Optik 23, 101 (1965).
  18. K. Singh and K. N. Chopra, Appl. Opt. 8, 1695 (1969).
  19. P. K. Katti, K. Singh, and A. K. Kavathekar, Opt. Acta, 16, 629 (1969).
  20. L. Levi, Applied Optics, A Guide to Modern Optical System Design (John Wiley & Sons, Inc., New York, 1968), p. 505.
  21. K. Rosenhauer, in Advanced Optical Techniques, A. C. S. van Heel, Ed. (North-Holland Publishing Co., Amsterdam, 1967).
  22. K. Rosenhauer and K. J. Rosenbruch, Rept. Progr. Phys. 30, 1 (1967).
  23. R. M. Bracewell, Fourier Transform and its Applications (McGraw-Hill Book Co., New York, 1965), p. 27.
  24. D. Post, Exper. Mech. 7, 154 (1967).
  25. K. Miyamoto, J. Opt. Soc. Am. 48, 567 (1958). For W= 1.0, the sine-wave response is positive at high frequencies, e.g., at ω= 1.8 and not less than zero as given in Ref. 25. This very small error appears to have been made in plotting the portion of the curve near ω= 1.8.

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