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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 28, Iss. 1 — Jan. 1, 1989
  • pp: 163–172

Interference of diffracted multiple wavefronts in the geometric shadow of the Fresnel region

Petras V. Avizonis, Janet S. Fender, and Robert R. Butts  »View Author Affiliations


Applied Optics, Vol. 28, Issue 1, pp. 163-172 (1989)
http://dx.doi.org/10.1364/AO.28.000163


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Abstract

A general diffraction analysis is presented to determine the irradiance distributions produced by the interference of diffracted wavefronts from multiple pupil configurations. Specifically, interference phenomena in the geometrical shadows of the Fresnel region close to the diffracting apertures are considered. The effects of multiple pupil geometry variations and preliminary impact of phase errors are considered. Finally, physical insights are offered for the phenomena of diffractive interference in the geometric shadow.

© 1989 Optical Society of America

History
Original Manuscript: April 5, 1988
Published: January 1, 1989

Citation
Petras V. Avizonis, Janet S. Fender, and Robert R. Butts, "Interference of diffracted multiple wavefronts in the geometric shadow of the Fresnel region," Appl. Opt. 28, 163-172 (1989)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-28-1-163


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References

  1. J. E. Harvey, J. L. Forgham, “The Spot of Arago: New Relevance for an Old Phenomena,” Am. J. Phys. 52, 243 (1984) and references therein. [CrossRef]
  2. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1980), p. 370.
  3. M. Abramowitz, I. A. Stegun, Eds. Handbook of Mathematical Functions, ABS Math Series55 (1964).
  4. Ref. 2, p. 440.
  5. J. S. Fender, Ed., “Synthetic Aperture Systems,” Proc. Soc. Photo-Opt. Instrum. Eng.440 (1983), volume dedicated to Synthetic Aperture Systems and references therein.
  6. R. R. Butts, “The Effects of Piston and Tilt Errors on the Performance of a Multiple Aperture Telescope,” Proc. Soc. Photo-Opt. Instrum. Eng. 293, 85 (1981).
  7. P. V. Avizonis, J. S. Fender, “Impact of Tilt Errors in Phasing Algorithms,” Opt. Eng., submitted.
  8. Ref. 2, p. 435.
  9. E. Lommel, “Die Beugungserscheinungen geradlinig begrenzter Schirme,” Abh. Bayer. Akad. Wiss. Math. Naturwiss. KI. 15, Abth. 2, 233 (1885).
  10. G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge U. P., London, 1922), pp. 537–550.

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