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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 19 — Jul. 1, 2008
  • pp: D164–D175

Optical sectioning for optical scanning holography using phase-space filtering with Wigner distribution functions

Hwi Kim, Sung-Wook Min, Byoungho Lee, and Ting-Chung Poon  »View Author Affiliations

Applied Optics, Vol. 47, Issue 19, pp. D164-D175 (2008)

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We propose a novel optical sectioning method for optical scanning holography, which is performed in phase space by using Wigner distribution functions together with the fractional Fourier transform. The principle of phase-space optical sectioning for one-dimensional signals, such as slit objects, and two-dimensional signals, such as rectangular objects, is first discussed. Computer simulation results are then presented to substantiate the proposed idea.

© 2008 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(090.1760) Holography : Computer holography
(100.3010) Image processing : Image reconstruction techniques
(180.6900) Microscopy : Three-dimensional microscopy

Original Manuscript: October 15, 2007
Revised Manuscript: February 4, 2008
Manuscript Accepted: March 13, 2008
Published: April 22, 2008

Virtual Issues
Vol. 3, Iss. 8 Virtual Journal for Biomedical Optics

Hwi Kim, Sung-Wook Min, Byoungho Lee, and Ting-Chung Poon, "Optical sectioning for optical scanning holography using phase-space filtering with Wigner distribution functions," Appl. Opt. 47, D164-D175 (2008)

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  1. H. J. Caulfield, “Automated analysis of particle holograms,” Opt. Eng. 24, 462-463 (1985).
  2. C. S. Vikram and M. L. Billet, “Far-field holography at non-image planes for size analysis of small particles,” Appl. Phys. B 33, 149-153 (1984). [CrossRef]
  3. D. A. Agard, “Optical sectioning microscopy: celluar architecture in three dimensions,” Annu. Rev. Biophys. Bioeng. 13, 191-219 (1984). [CrossRef] [PubMed]
  4. K. R. Castleman, Digital Image Processing (Prentice-Hall, 1979).
  5. E. N. Leith, W.-C. Chein, K. D. Mils, B. D. Athey, and D. S. Dilworth, “Optical sectioning by holographic coherence imaging: a generalized analysis,” J. Opt. Soc. Am. A 20, 380-387(2003). [CrossRef]
  6. T. Kim, “Optical sectioning by optical scanning holography and a Wiener filter,” Appl. Opt. 45, 872-879 (2006). [CrossRef] [PubMed]
  7. T.-C. Poon, “Scanning holography and two-dimensional image processing by acousto-optic two-pupil synthesis,” J. Opt. Soc. Am. A 2, 521-527 (1985). [CrossRef]
  8. T.-C. Poon, K. Doh, B. Schilling, M. Wu, K. Shinoda, and Y. Suzuki, “Three-dimensional microscopy by optical scanning holography,” Opt. Eng. 34, 1338-1344 (1995). [CrossRef]
  9. T.-C. Poon and T. Kim, “Optical image recognition of three-dimensional objects,” Appl. Opt. 38, 370-381 (1999). [CrossRef]
  10. T. -C. Poon, Optical Scanning Holography with Matlab (Springer, 2007). [PubMed]
  11. T. -C. Poon and T. Kim, Engineering Optics with Matlab (World Scientific, 2006). [PubMed]
  12. D. Dragoman, “The Wigner distribution function in optics and optoelectronics,” in Progress in Optics, E. Wolf, ed. (Elsevier, 1997), Vol. 37, pp. 1-56.
  13. H. M. Ozaktas, Z Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).
  14. R. F. O'Connell, “The Wigner distribution function--50th birthday,” Found. Phys. 13, 83-92 (1983). [CrossRef]
  15. J. Hahn, H. Kim, and B. Lee, “Optical implementation of iterative fractional Fourier transform algorithm,” Opt. Express 14, 11103-11104 (2006). [CrossRef] [PubMed]
  16. J. W. Goodman, Introduction to Fourier Optics, 3rd ed.(Roberts & Company, 2004).
  17. H. Kim, B. Yang, and B. Lee, “Iterative Fourier transform algorithm with regularization for the optimal design of diffractive optical elements,” J. Opt. Soc. Am. A 21, 2353-2365(2004). [CrossRef]

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