OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 4 — Feb. 1, 2008
  • pp: A70–A77

Holography in phase space

Markus Testorf and Adolf W. Lohmann  »View Author Affiliations


Applied Optics, Vol. 47, Issue 4, pp. A70-A77 (2008)
http://dx.doi.org/10.1364/AO.47.000A70


View Full Text Article

Enhanced HTML    Acrobat PDF (251 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Holography is reformulated by using the framework of phase-space optics. The Leith–Upatnieks off-axis reference hologram is compared with precursors, namely, single-sideband holography. The phase-space representation of complex amplitudes focuses on similarities between different holographic recording schemes and is particularly useful for investigating the degree of freedom and the space–bandwidth product of optical signals and systems. This allows one to include computer-generated holography and recent developments in digital holography in the discussion.

© 2008 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(350.6980) Other areas of optics : Transforms

History
Original Manuscript: March 8, 2007
Revised Manuscript: August 17, 2007
Manuscript Accepted: September 7, 2007
Published: November 21, 2007

Citation
Markus Testorf and Adolf W. Lohmann, "Holography in phase space," Appl. Opt. 47, A70-A77 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-4-A70


Sort:  Year  |  Journal  |  Reset  

References

  1. E. N. Leith and J. Upatnieks, "Reconstructed wavefronts and communication theory," J. Opt. Soc. Am. 52, 1123-1130 (1962). [CrossRef]
  2. E. N. Leith and J. Upatnieks, "Wavefront reconstruction with continuous-tone objects," J. Opt. Soc. Am. 53, 1377 (1963). [CrossRef]
  3. D. Gabor, "A new microscope principle," Nature 161, 777-778 (1948). [CrossRef] [PubMed]
  4. A. Lohmann, "Optische Einseitenbandübertragung angewandt auf das Gabor-Mikroskop," Opt. Acta 3, 97-100 (1956). [CrossRef]
  5. O. Bryngdahl and A. Lohmann, "Single-sideband holography," J. Opt. Soc. Am. 58, 620-624 (1968). [CrossRef]
  6. D. Gabor and W. P. Goss, "Interference microscope with total wavefront reconstruction," J. Opt. Soc. Am. 56, 849-858 (1966). [CrossRef]
  7. P. Flandrin, Time-Frequency/Time-Scale Analysis(Academic, 1999).
  8. D. Gabor, "Theory of communication," J. IEE 93, 429-457 (1946).
  9. M. J. Bastiaans, "The Wigner distribution function applied to optical signals and systems," Opt. Commun. 25, 26-30 (1978). [CrossRef]
  10. M. J. Bastiaans, "Wigner distribution function and its application to first order optics," J. Opt. Soc. Am. 69, 1710-1716 (1979). [CrossRef]
  11. M. J. Bastiaans, "Application of the Wigner distribution function in optics," in The Wigner Distribution--Theory and Applications in Signal Processing, W. Mecklenbräuker and F.Hlawatsch, eds. (Elsevier, 1997), pp. 375-426.
  12. A. W. Lohmann, "The space-bandwidth product, applied to spatial filtering and to holography," in Selected Papers on Phase-Space Optics, M.E.Testorf, J.Ojeda-Castañeda, and A.W.Lohmann, eds. (SPIE Press, 2006), pp. 11-32.
  13. A. W. Lohmann, M. E. Testorf, and J. Ojeda-Castañeda, "Holography and the Wigner function," in The Art and Science of Holography, H. J. Caulfield, ed. (SPIE Press, 2004), pp. 129-144.
  14. K. B. Wolf and A. L. Rivera, "Holographic information in the Wigner function," Opt. Commun. 144, 36-42 (1997). [CrossRef]
  15. B. R. Brown and A. W. Lohmann, "Complex spatial filtering with binary masks," Appl. Opt. 5, 967-969 (1966). [CrossRef] [PubMed]
  16. A. W. Lohmann and D. P. Paris, "Binary Fraunhofer holograms, generated by computer," Appl. Opt. 6, 1739-1748 (1967). [CrossRef] [PubMed]
  17. B. R. Brown and A. W. Lohmann, "Computer-generated binary holograms," IBM J. Res. Dev. 13, 160-168 (1969). [CrossRef]
  18. A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993). [CrossRef]
  19. E. N. Leith, "A short history of the optics group at Willow Run laboratories," in Trends in Optics, A. Consortini, ed. (Academic, 1996), pp. 1-26.
  20. K.-H. Brenner and A. W. Lohmann, "Wigner distribution function display of complex 1D signals," Opt. Commun. 42, 310-314 (1982). [CrossRef]
  21. A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996). [CrossRef]
  22. B. M. Hennelly and J. T. Sheridan, "Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms," J. Opt. Soc. Am. A 22, 917-927 (2005). [CrossRef]
  23. A. Stern and B. Javidi, "Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields," J. Opt. Soc. Am. A 23, 1227-1235 (2006). [CrossRef]

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