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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 3 — Mar. 1, 2008
  • pp: 736–741

Space–bandwidth conditions for efficient phase-shifting digital holographic microscopy

Adrian Stern and Bahram Javidi  »View Author Affiliations

JOSA A, Vol. 25, Issue 3, pp. 736-741 (2008)

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Microscopy by holographic means is attractive because it permits true three-dimensional (3D) visualization and 3D display of the objects. We investigate the necessary condition on the object size and spatial bandwidth for complete 3D microscopic imaging with phase-shifting digital holography with various common arrangements. The cases for which a Fresnel holographic arrangement is sufficient and those for which object magnification is necessary are defined. Limitations set by digital sensors are analyzed in the Wigner domain. The trade-offs between the various holographic arrangements in terms of conditions on the object size and bandwidth, recording conditions required for complete representation, and complexity are discussed.

© 2008 Optical Society of America

OCIS Codes
(180.6900) Microscopy : Three-dimensional microscopy
(090.1995) Holography : Digital holography

ToC Category:

Original Manuscript: August 13, 2007
Revised Manuscript: December 17, 2007
Manuscript Accepted: January 7, 2008
Published: February 21, 2008

Virtual Issues
Vol. 3, Iss. 4 Virtual Journal for Biomedical Optics

Adrian Stern and Bahram Javidi, "Space-bandwidth conditions for efficient phase-shifting digital holographic microscopy," J. Opt. Soc. Am. A 25, 736-741 (2008)

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  1. B. Javidi and F. Okano, eds., Three Dimensional Television, Video, and Display Technologies (Springer Verlag, 2002).
  2. T. Kreis, ed., Handbook of Holographic Interferometry (Wiley, VCH, 2005).
  3. U. Schnars and W. P. O. Juptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13, R85-R101 (2002). [CrossRef]
  4. J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, 77-79 (1967). [CrossRef]
  5. Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, “Three-dimensional imaging and processing using computational holographic imaging,” Proc. IEEE 94, 636-653 (2006). [CrossRef]
  6. W. Osten, T. Baumbach, and W. Juptner, “Comparative digital holography,” Opt. Lett. 27, 1764-1766 (2002). [CrossRef]
  7. A. Stern and B. Javidi, “Analysis of practical sampling and reconstruction from Fresnel fields,” Opt. Eng. (Bellingham) 43, 239-250 (2004). [CrossRef]
  8. T. Zhang and I. Yamaguchi, “Three-dimensional microscopy with phase-shifting digital holography,” Opt. Lett. 23, 1221-1223 (1998). [CrossRef]
  9. F. Le Clerc, M. Gross, and L. Collot, “Synthetic-aperture experiment in the visible with on-axis digital heterodyne holography,” Opt. Lett. 26, 1550-1552 (2001). [CrossRef]
  10. G. Pedrini and H. J. Tiziani, “Short-coherence digital microscopy by use of a lensless holographic imaging system,” Appl. Opt. 41, 4489-4496 (2002). [CrossRef] [PubMed]
  11. P. Ferraro, S. De Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, “Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging,” Appl. Opt. 42, 1938-1946 (2003). [CrossRef] [PubMed]
  12. P. Guo and A. J. Devaney, “Digital microscopy using phase-shifting digital holography with two reference waves,” Opt. Lett. 29, 857-859 (2004). [CrossRef] [PubMed]
  13. T. Namura, S. Murata, E. Nitanai, and T. Numata, “Phase-shifting digital holography with a phase difference between orthogonal polarizations,” Appl. Opt. 45, 4873-4877 (2006). [CrossRef]
  14. A. Stern and B. Javidi, “Theoretical analysis of three-dimensional imaging and recognition of microorganism technique using single-exposure on-line (SEOL) digital holography,” J. Opt. Soc. Am. A 24, 163-168 (2007). [CrossRef]
  15. B. Javidi, I. Moon, S. Yeom, and E. Carapezza, “Three-dimensional imaging and recognition of microorganism using single-exposure on-line (SEOL) digital holography,” Opt. Express 13, 4402-4506 (2005). [CrossRef]
  16. S. Yeom, I. Moon, and B. Javidi, “Real-time 3-D sensing, visualization and recognition of dynamic biological microorganisms,” Proc. IEEE 94, 550-566 (2006). [CrossRef]
  17. D. Kim and B. Javidi, “Distortion-tolerant 3-D object recognition using single exposure on-axis digital holography,” Opt. Express 12, 5539-5548 (2004). [CrossRef] [PubMed]
  18. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), Chap. 9.
  19. A. Lohmann, M. E. Testorf, and J. Ojeda-Castaneda, “Holography and the Wigner function,” in The Art and Science of Holography, a Tribute to Emmett Leith and Yuri Denisyuk, J.H.Caulfield, ed. (SPIE, 2004), Chap. 8.
  20. M. J. Bastiaans, “Wigner distribution function and its application to first-order optics,” J. Opt. Soc. Am. 69, 1710-1716 (1979). [CrossRef]
  21. M. Martínez-Corral, M. T. Caballero, and A. Pons, “Axial apodization in 4Pi-confocal microscopy by annular binary filters,” J. Opt. Soc. Am. A 19, 1532-1536 (2002). [CrossRef]
  22. C.-S. Guo, L. Zhang, and Z. Y. Rong, “Effects of the fill factor of CCD pixels on digital holograms: comment on papers 'Frequency analysis of digital holography' and 'Frequency analysis of digital holography with reconstruction by convolution',” Opt. Eng. (Bellingham) 42, 2768-2771 (2003). [CrossRef]
  23. A. Stern and B. Javidi, “Improved resolution digital holography using generalized sampling theorem,” J. Opt. Soc. Am. A 23, 1227-1235 (2006). [CrossRef]
  24. A. Stern and B. Javidi, “Sampling in the light of Wigner distribution,” J. Opt. Soc. Am. A 21, 360-366 (2004); A. Stern and B. Javidi,Errata 21, 2038 (2004). [CrossRef]
  25. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, 1968), Chap. 11.
  26. A. Vanderlught, Optical Signal Processing (Wiley, 1992), Chap. 3.

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