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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. 13, Iss. 10 — Oct. 1, 1996
  • pp: 2086–2090

Average coherence approximation for partially coherent optical systems

Boaz Salik, Joseph Rosen, and Amnon Yariv  »View Author Affiliations


JOSA A, Vol. 13, Issue 10, pp. 2086-2090 (1996)
http://dx.doi.org/10.1364/JOSAA.13.002086


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Abstract

We introduce an approximation to the Hopkins integral for partially coherent optical systems. The average coherence approximation yields results close to the Hopkins integral for a wide range of coherent transfer functions and illumination functions and is far less computationally demanding than the full Hopkins integral.

© 1996 Optical Society of America

History
Original Manuscript: January 2, 1996
Revised Manuscript: May 21, 1996
Manuscript Accepted: April 19, 1996
Published: October 1, 1996

Citation
Boaz Salik, Joseph Rosen, and Amnon Yariv, "Average coherence approximation for partially coherent optical systems," J. Opt. Soc. Am. A 13, 2086-2090 (1996)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-13-10-2086


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References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, Calif., 1968), p. 106.
  2. H. H. Hopkins, “The concept of partial coherence in optics,” Proc. R. Soc. London Ser. A 208, 263–277 (1951). [CrossRef]
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  6. J. Perina, Coherence of Light, 2nd ed. (Reidel, Dordrecht, The Netherlands, 1985), Chap. 4.
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  8. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1965), p. 526.
  9. W. H. Carter, E. Wolf, “Coherence and radiometry with quasihomogeneous planar sources,” J. Opt. Soc. Am. 67, 785–796 (1977). [CrossRef]

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