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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 60, Iss. 12 — Dec. 1, 1970
  • pp: 1654–1657

Diffraction by Gaussian Apertures

G. OLUREMI OLAOFE  »View Author Affiliations


JOSA, Vol. 60, Issue 12, pp. 1654-1657 (1970)
http://dx.doi.org/10.1364/JOSA.60.001654


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Abstract

This paper investigates Fresnel diffraction from plane-wave gaussian beams truncated by circular apertures. Kirchhoff’s integral has been evaluated analytically and (analytical) expressions are derived, in terms of infinite series, for the irradiance and total power of the diffracted field. Some graphs are presented for Fraunhofer conditions. The results obtained greatly reduce the labor of numerically computing the irradiance and the power.

Citation
G. OLUREMI OLAOFE, "Diffraction by Gaussian Apertures," J. Opt. Soc. Am. 60, 1654-1657 (1970)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-60-12-1654


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References

  1. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1965), Ch. VIII.
  2. J. P. Campbell and L. G. DeShazer, J. Opt. Soc. Am. 59, 1427 (1969).
  3. G. N. Watson, Theory of Bessel Functions (Cambridge University Press, New York, 1966), p. 132.
  4. Reference 1, p. 396.
  5. Reference 3, p. 136.
  6. Reference 1, p. 398.
  7. Modern Computing Methods, edited by E. T. Goodwin (H. M. Stationery Office, London, 1962), Ch. 13.

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