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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 22, Iss. 9 — May. 1, 1983
  • pp: 1413–1414

Derivation of the point spread function

Hubert F. A. Tschunko  »View Author Affiliations


Applied Optics, Vol. 22, Issue 9, pp. 1413-1414 (1983)
http://dx.doi.org/10.1364/AO.22.001413


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Abstract

The derivation of the point spread function in general uses the mathematical theory of diffraction in detail. This derivation uses geometric relations of the incoming and diffracted wave front to establish the diffraction integral, which is equal to the Hankel integral for the Bessel function of the first kind of order one.

© 1983 Optical Society of America

History
Original Manuscript: January 17, 1983
Published: May 1, 1983

Citation
Hubert F. A. Tschunko, "Derivation of the point spread function," Appl. Opt. 22, 1413-1414 (1983)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-22-9-1413


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References

  1. J. Morgan, Geometrical and Physical Optics (McGraw-Hill, New York, 1953).
  2. F. A. Jenkins, H. E. White, Fundamentals of Optics, (McGraw Hill, New York, 1976).
  3. G. B. Airy, Trans. Cambridge Philos. Soc. 5, 283 (1835).
  4. E. Lommel, Z. Math. Phys. 15, 141 (1870).
  5. F. Bowman, Introduction to Bessel Functions (Dover, New York, 1958), pp. 98.
  6. N. G. Watson, A Treatise of the Theory of Bessel Functions (Cambridge U.P., London, 1944), p. 48.
  7. D. Hilbert, Anschauliche Geometrie (Springer-Verlag, Berlin, 1932); English translation: Geometry and imagination (Chelsea, New York, 1952).

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