OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 20 — Jul. 10, 1998
  • pp: 4374–4379

Generalized Wigner function for the analysis of superresolution systems

Kurt Bernardo Wolf, David Mendlovic, and Zeev Zalevsky  »View Author Affiliations


Applied Optics, Vol. 37, Issue 20, pp. 4374-4379 (1998)
http://dx.doi.org/10.1364/AO.37.004374


View Full Text Article

Acrobat PDF (451 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The generalized Wigner function is able to represent light distributions that contain spatial and temporal information. The use of such a generalized Wigner distribution function for analysis and understanding of temporally restricted superresolving systems is demonstrated. These systems gain spatial resolution by conversion of the temporal degrees of freedom to spatial degrees of freedom.

© 1998 Optical Society of America

OCIS Codes
(100.6640) Image processing : Superresolution

Citation
Kurt Bernardo Wolf, David Mendlovic, and Zeev Zalevsky, "Generalized Wigner function for the analysis of superresolution systems," Appl. Opt. 37, 4374-4379 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-20-4374


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. D. Mendlovic, A. W. Lohmann, N. Konforti, I. Kiryuschev, and Z. Zalevsky, “One-dimensional superresolution optical system for temporally restricted objects,” Appl. Opt. 36, 2353–2359 (1997).
  2. K. B. Wolf, “Wigner distribution function for paraxial polychromatic optics,” Opt. Commun. 132, 343–352 (1996).
  3. D. Mendlovic and Z. Zalevsky, “Definition and properties of the generalized temporal-spatial Wigner distribution function,” Optik (Stuttgart) 107, 49–61 (1997).
  4. E. P. Wigner, “On quantum correction for thermodynamic equilibrium,” Phys. Rev. 40, 749–759 (1932).
  5. H. W. Lee, “Theory and application of the quantum phase-space distribution functions,” Phys. Rep. 259, 147–211 (1995).
  6. M. J. Bastiaans, “Transport equations for the Wigner distribution function in an inhomogeneous and dispersive medium,” Opt. Acta 26, 1333–1344 (1979).
  7. W. Lukosz, “Optical systems with resolving powers exceeding the classical limit,” J. Opt. Soc. Am. 56, 1463–1472 (1966).
  8. A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181–2186, (1993).
  9. O. Castanos, E. Lopez-Moreno, and K. B. Wolf, “Canonical transforms for paraxial wave optics,” Vol. 250 of Springer-Verlag Lecture notes in Physics, (Springer Veilag, Heidellerg, 1986), pp. 159–182.
  10. D. Mendlovic and A. W. Lohmann, “Space–bandwidth product adaptation and its application to superresolution: fundamentals” J. Opt. Soc. Am. A 14, 558–562 (1997).
  11. D. Mendlovic, A. W. Lohmann, and Z. Zalevsky, “Space–bandwidth adaptation and its application to superresolution: examples,” J. Opt. Soc. Am. A 14, 563–567 (1997).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited