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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 12 — Dec. 1, 2000
  • pp: 2536–2542

Analysis of the moiré effect by use of the Wigner distribution function

Markus Testorf  »View Author Affiliations


JOSA A, Vol. 17, Issue 12, pp. 2536-2542 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002536


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Abstract

The Wigner distribution function is used to analyze moiré patterns that originate from a superposition of nonperiodic masks. For patterns with well-defined local frequencies, the concept of the Wigner distribution function allows one to extend the description of the moiré effect in terms of vector sums. How this picture can be applied to design moiré patterns and to analyze their information content is also discussed.

© 2000 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques

Citation
Markus Testorf, "Analysis of the moiré effect by use of the Wigner distribution function," J. Opt. Soc. Am. A 17, 2536-2542 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-12-2536


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References

  1. A. W. Lohmann and S. Sinzinger, “Moiré effect as a tool for image processing,” J. Opt. Soc. Am. A 10, 65–68 (1993).
  2. K. Patorski, Handbook of the Moiré Fringe Technique (Elsevier, Amsterdam, 1993).
  3. G. Oster, M. Waserman, and C. Zwerling, “Theoretical interpretation of moiré patterns,” J. Opt. Soc. Am. 54, 169–175 (1964).
  4. O. Bryngdahl, “Moiré: formation and interpretation,” J. Opt. Soc. Am. 64, 1287–1294 (1974).
  5. A. W. Lohmann, Optical Information Processing, 3rd ed. (A. W. Lohmann, Uttenreuth, Germany, 1986), Chaps. 3 and 5.
  6. A. W. Lohmann and D. P. Paris, “Variable Fresnel zone pattern,” Appl. Opt. 6, 1567–1570 (1967).
  7. T. A. C. M. Claasen and W. F. G. Mecklenbräuker, “The Wigner distribution function—a tool for time-frequency signal analysis. Part I: Continuous-time signals,” Philips J. Res. 35, 217–250 (1980).
  8. M. J. Bastiaans, “The Wigner distribution function applied to optical signals and systems,” Opt. Commun. 25, 26–30 (1978).
  9. M. J. Bastiaans, “Wigner distribution function and its application to first-order optics,” J. Opt. Soc. Am. 69, 1710–1716 (1979).
  10. A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).
  11. K.-H. Brenner and A. W. Lohmann, “Wigner distribution function display of complex 1D signals,” Opt. Commun. 42, 310–314 (1982).
  12. O. Bryngdahl, “Moiré and higher grating harmonics,” J. Opt. Soc. Am. 65, 685–694 (1975).
  13. J. M. Burch and D. C. Williams, “Varifocal moiré plates for straightness measurements,” Appl. Opt. 16, 2445–2450 (1977).
  14. P. P. Huang, “Holographic anti-counterfeit method and device with encoded pattern,” in Diffractive/Holographic Technologies, Systems, and Spatial Light Modulators, VI, I. Cindrich, S. H. Lee, and R. L. Sutherland, eds., Proc. SPIE 3633, 61–67 (1999).
  15. A. Kolodziejczyk and Z. Jaroszewicz, “Diffractive elements of variable optical power and high diffraction efficiency,” Appl. Opt. 32, 4317–4322 (1993).

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