Skip to main content

Phase-Shifting Digital Holography

Principles and applications

  • Chapter
Digital Holography and Three-Dimensional Display

Abstract

In digital holography holograms are recorded by a CCD and image reconstruction is performed by a computer. It is free from tedious photographic processing and delivers three-dimensional distributions of both amplitude and phase quantitatively. Its main limitation that is caused by much lower resolution of CCDs than photographic materials has been substantially overcome by phase-shifting digital holography that reduces the spatial frequency of hologram by employing the in-line setup and directly evaluates complex amplitude at the CCD plane to eliminate the conjugate and zero-th order images appearing in the off-axis setup which has been commonly used. In this chapter we first describe its basic principle of image formation. It is followed by applications to microscopy, color holography, and data compression for storage, transmission, and real-time display of holographic data. Then its applications to measurements of shape and deformation of diffusely reflecting surfaces are discussed in comparison with conventional holographic interferometry and electronic speckle pattern interferometry.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, pp.77–79, 1967.

    Article  ADS  Google Scholar 

  2. M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, “Reconstruction of a hologram with a computer,” Sov. Phys.-Tech. Phys. 17, pp. 333–334, 1972.

    ADS  Google Scholar 

  3. U. Schnars and W. Juptner, “Direct recording of holograms by a CCD target and numerical reconstruction,” Appl. Opt. 33, pp. 179–181, 1994.

    Article  ADS  Google Scholar 

  4. G. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White, and D. J. Brangaccio, “Digital wavefront measuring interferometer for testing optical surfaces and lenses,” Appl. Opt. 13, pp. 2693–2703, 1974.

    Article  ADS  Google Scholar 

  5. I. Yamaguchi and T. Zhang, “Phase-shifting digital holography,” Opt. Lett. 22, pp. 1268–1270, 1997.

    Article  ADS  Google Scholar 

  6. F. Zhang, I. Yamaguchi, and L. P. Yaroslavsky, “Algorithm for reconstruction of digital holograms with adjustable magnification,” Opt. Lett. 29, pp. 1668–1670, 2004.

    Article  ADS  Google Scholar 

  7. I. Yamaguchi, T. Matsumura, and J. Kato, “Phase-shifting color digital holography,” Opt. Lett. 27, pp. 1108–1110, 2002.

    Article  ADS  Google Scholar 

  8. J. Kato, I. Yamaguchi, and T. Matsumura, “Multicolor digital holography with an achromatic phase-shifter,” Opt. Lett. 27, pp. 1403–1405, 2002.

    Article  ADS  Google Scholar 

  9. I. Yamaguchi, “Three-dimensional microscopy and measurement by phase-shifting digital holography,” Selected Papers from Fifth International Conference on Correlation Optics, O. F. Angelsky, Editor, Proc. SPIE 4607, pp. 153–160, 2002.

    Google Scholar 

  10. O. Matoba, T. J. Naughton, Y. Frauel, N. Bertaux, and B. Javidi, “Real-time three-dimensional object reconstruction by use of a phase-encoded digital hologram,” Appl. Opt. 41, pp. 6187–6192, 2002.

    Article  ADS  Google Scholar 

  11. I. Yamaguchi, J. Kato, S. Ohta, and J. Mizuno, “Image formation in phase-shifting digital holography and applications to microscopy”, Appl. Opt., 40, pp. 6177–6186, 2001.

    Article  ADS  Google Scholar 

  12. T. Zhang and I. Yamaguchi, “Three-dimensional microscopy with phase-shifting digital holography,” Opt. Lett. 23, pp.1221–1223, 1998.

    Article  ADS  Google Scholar 

  13. G. Indebetouw, A. E. Maghnouji, R. Foster, “Scaning holographic microscopy with transverse resolution exceeding the Rayleigh limit and extended depth of focuse,” J. Opt. Soc. Am. 22, pp. 892–898, 2005.

    Article  ADS  Google Scholar 

  14. G. H. Mills and I. Yamaguchi, “Effects of quantization in phase-shifting digital holography,” Appl. Opt. 44, pp. 1216–1225, 2005.

    Article  ADS  Google Scholar 

  15. L. B. Lesem, P. M. Hirsch, and J. A. Jordan, Jr., “The kinoform, a new wavefront reconstruction devices,” IBM J. Res. Dev. 13, pp.150–155, 1969.

    Article  Google Scholar 

  16. I. Yamaguchi, K. Yamamoto, G. A. Mills, and M. Yokota, “Image reconstruction only by phase in phase-shifting digital holography”, Appl. Opt. 44, 2005, accepted for publication.

    Google Scholar 

  17. T. J. Naughton, Y. Frauel, B. Javidi, and E. Tajahuerce, Compression of digital holograms for three-dimensional object reconstruction and recognition,”Appl. Opt. 41, pp. 4124–4132, 2002.

    Article  ADS  Google Scholar 

  18. T. J. Naughton, J. B. McDonald, and B. Javidi, “Efficient compression of Fresnel fields for Internet transmission of three-dimensional images,” Appl. Opt. 42, pp. 4758–4764, 2003.

    Article  ADS  Google Scholar 

  19. M. Takeda, H. Ina, and S. Kobayashi, “Fourier transform methods of fringe pattern analysis for computer based tomography and interferometry,” J. Opt. Soc. Am. 72, pp. 156–170, 1984.

    Article  ADS  Google Scholar 

  20. I. Yamaguchi, “Fringe formations in deformation and vibration measurements using laser light,” in Progress in Optics, ed. E. Wolf (North-Holland Pub., Amsterdam, 1985) Vol.22, pp.271–340.

    Google Scholar 

  21. I. Yamaguchi, “Holography, speckle, and computers,” Opt. and Lasers in Eng. 39, pp. 411–429, 2003.

    Article  ADS  Google Scholar 

  22. I. Yamaguchi, J. Kato, and S. Ohta, “Surface shape measurement by phase-shifting digital holography,” Opt. Rev. 8, pp. 85–89, 2001.

    Article  Google Scholar 

  23. I. Yamaguchi, S. Yamashita, and M. Yokota, “Surface shape measurement by dual-wavelength phase-shifting digital holography, Fringe 2005, Proc. of 5th International Workshop on Automatic Processing of Fringe Patterns, ed. W. Osten and W. Juptner, pp.396–403, 2005.

    Google Scholar 

  24. I. Yamaguchi, J. Kato, and H. Matsuzaki, “Measurement of surface shape and deformation by phase-shifting image digital holography,” Opt. Eng. 42, pp. 1267–1271, 2003.

    Article  ADS  Google Scholar 

  25. I. Yamaguchi: “Real-time measurement of in-plane translation and tilt by electronic speckle correlation”, Jpn. J. Appl. Phys. 19, L133–L136, 1980.

    Article  ADS  Google Scholar 

  26. S. Noh and I. Yamaguchi: “Two-dimensional measurement of strain distribution by speckle correlation,” Jpn. J. Appl. Phys. 31, L1299–L1301, 1992.

    Article  ADS  Google Scholar 

  27. F. Zhang, J. D. R. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase-shifting digital holography,” Opt. Rev. 11, pp.297–299, 2004.

    Article  Google Scholar 

  28. N. Abramson, “Sandwich hologram interferometry, a new dimension in holographic comparison,” Appl. Opt. 13, pp.2019–2025, 1974.

    Article  ADS  Google Scholar 

  29. A. Yamamoto and I. Yamaguchi, “Profilometry of sloped plane surfaces by wavelength scanning interferometry,” Opt. Rev. 9, pp.112–121, 2002.

    Article  Google Scholar 

  30. I. Yamaguchi, O. Inomoto, and J. Kato, “Surface shape measurement by phase-shifting digital holography,” Fringe 2001, Proc. of 4th International Workshop on Automatic Processing of Fringe Patterns, ed. W. Osten, pp.365–372, 2001

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer Science+Business Media, Inc.

About this chapter

Cite this chapter

Yamaguchi, I. (2006). Phase-Shifting Digital Holography. In: Poon, TC. (eds) Digital Holography and Three-Dimensional Display. Springer, Boston, MA . https://doi.org/10.1007/0-387-31397-4_5

Download citation

Publish with us

Policies and ethics