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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. 8 — Aug. 1, 1996
  • pp: 1698–1703

Wigner distribution function of a circular aperture

Martin J. Bastiaans and Peter G. J. van de Mortel  »View Author Affiliations


JOSA A, Vol. 13, Issue 8, pp. 1698-1703 (1996)
http://dx.doi.org/10.1364/JOSAA.13.001698


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Abstract

The Wigner distribution function of a circular aperture is determined. Analytic expressions as well as numerical and graphical results are presented.

© 1996 Optical Society of America

History
Original Manuscript: September 26, 1995
Revised Manuscript: March 5, 1996
Manuscript Accepted: March 8, 1996
Published: August 1, 1996

Citation
Martin J. Bastiaans and Peter G. J. van de Mortel, "Wigner distribution function of a circular aperture," J. Opt. Soc. Am. A 13, 1698-1703 (1996)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-13-8-1698


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References

  1. E. Wigner, “On the quantum correction for thermodynamic equilibrium,” Phys. Rev. 40, 749–759 (1932). [CrossRef]
  2. A. Walther, “Radiometry and coherence,”J. Opt. Soc. Am. 58, 1256–1259 (1968). [CrossRef]
  3. A. Walther, “Propagation of the generalized radiance through lenses,”J. Opt. Soc. Am. 68, 1606–1610 (1978). [CrossRef]
  4. M. J. Bastiaans, “The Wigner distribution function applied to optical signals and systems,” Opt. Commun. 25, 26–30 (1978). [CrossRef]
  5. M. J. Bastiaans, “The Wigner distribution function and its application to first-order optics,”J. Opt. Soc. Am. 69, 1710–1716 (1979). [CrossRef]
  6. M. J. Bastiaans, “Application of the Wigner distribution function to partially coherent light,” J. Opt. Soc. Am. A 3, 1227–1238 (1986). [CrossRef]
  7. E. Wolf, “Coherence and radiometry,”J. Opt. Soc. Am. 68, 6–17 (1978). [CrossRef]
  8. R. K. Luneburg, Mathematical Theory of Optics (U. California Press, Berkeley, Calif., 1966).
  9. N. Marcuvitz, “Quasiparticle view of wave propagation,” Proc. IEEE 68, 1380–1395 (1980). [CrossRef]
  10. M. J. Bastiaans, “Transport equations for the Wigner distribution function,” Opt. Acta 26, 1265–1272 (1979). [CrossRef]
  11. M. J. Bastiaans, “Transport equations for the Wigner distribution function in an inhomogeneous and dispersive medium,” Opt. Acta 26, 1333–1344 (1979). [CrossRef]
  12. M. Abramowitz, I. A. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1970).

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