Abstract

The principle of optical scanning holography (OSH) is proposed to acquire horizontal-parallax-only (HPO) holographic information electronically. We first briefly summarize the results of OSH and then discuss how HPO-electronic holographic information can be acquired using OSH. Finally we provide simulations to illustrate and clarify the proposed idea. Although many ideas of HPO-holography have been proposed and studied, to the best of our knowledge, this is the first proposed electronic technique to acquire HPO-holographic information.

© 2005 Optical Society of America

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References

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  1. E. Leith, J. Upatnieks, K. Hildebrand, and K. Haines, “Requirements for a wavefront reconstruction television facsimile system,” J. SMPTE 74, 893–896 (1965).
    [Crossref]
  2. L. H. Enloe, J.A. Murphy, and C. B. Rubinstein, “Hologram transmission via television,” Bell Syst. Techn. 25, 335–339 (1966).
  3. S.B. Gurevich et al., “Holographic image transmission by television,” Sov. Phys. 13, 378–383 (1968).
  4. A. Macovski, “Considerations of television holography,” Opt. Acta 1831–39 (1971).
    [Crossref]
  5. P. St. Hilaire, S.A. Benton, and M. Lucente, “Synthetic aperture holography: a novel approach to three-dimensional displays,” J. Opt. Soc. Am. A 9, 1969–1977 (1992).
    [Crossref]
  6. T.-C. Poon, “Three-dimensional television using optical scanning holography,” J. Information Display 3, 12–16 (2002).
    [Crossref]
  7. S.A. Benton, “The mathematical optics of white light transmission holograms,” presented at the First International Sym. On Display Holography, Lake Forest College, Lake Forest, Ill. (1982).
  8. C. P. Grover, R.A. Lessard, and R. Tremblay, “Lensless one-step rainbow holography using a synthesized masking slit,” Appl. Opt. 22, 3300 (1983).
    [Crossref] [PubMed]
  9. T. Okoshi, Three-dimensional Imaging Techniques, (Academic Press, New York, 1971)
  10. C. J Kuo (ed.), Opt. Eng.35, special issue on “Electronic Holography, (1996).
  11. T.-C. Poon, M. Wu, K. Shinoda, and Y. Suzuki, “Optical scanning holography,” Proceedings of the IEEE,  84, 753–764, (1996).
    [Crossref]
  12. T.-C. Poon and T. Kim, “Optical image recognition of three-dimensional objects,” Appl. Opt. 38, 370–381 (1991)
    [Crossref]
  13. G.L. Rogers, “Gabor diffraction microscopy: the hologram as a generalized zone plate,” Nature 166, 237 (1950)
    [Crossref] [PubMed]
  14. T.-C. Poon and G. Indebetouw, “Three-dimensional point spread functions of an optical heterodyne scanning image processor,” Appl. Opt. 42, 1485–1492 (2003)
    [Crossref] [PubMed]
  15. T.-C. Poon, “Recent progress in optical scanning holography,” J. Holography and Speckle 1, 6–25 (2004)
    [Crossref]
  16. T.-C. Poon and P.P. Banerjee, Contemporary Optical Image Processing with MATLAB ®, (Elsevier, Oxford, 2001).

2004 (1)

T.-C. Poon, “Recent progress in optical scanning holography,” J. Holography and Speckle 1, 6–25 (2004)
[Crossref]

2003 (1)

2002 (1)

T.-C. Poon, “Three-dimensional television using optical scanning holography,” J. Information Display 3, 12–16 (2002).
[Crossref]

1996 (1)

T.-C. Poon, M. Wu, K. Shinoda, and Y. Suzuki, “Optical scanning holography,” Proceedings of the IEEE,  84, 753–764, (1996).
[Crossref]

1992 (1)

1991 (1)

1983 (1)

1971 (1)

A. Macovski, “Considerations of television holography,” Opt. Acta 1831–39 (1971).
[Crossref]

1968 (1)

S.B. Gurevich et al., “Holographic image transmission by television,” Sov. Phys. 13, 378–383 (1968).

1966 (1)

L. H. Enloe, J.A. Murphy, and C. B. Rubinstein, “Hologram transmission via television,” Bell Syst. Techn. 25, 335–339 (1966).

1965 (1)

E. Leith, J. Upatnieks, K. Hildebrand, and K. Haines, “Requirements for a wavefront reconstruction television facsimile system,” J. SMPTE 74, 893–896 (1965).
[Crossref]

1950 (1)

G.L. Rogers, “Gabor diffraction microscopy: the hologram as a generalized zone plate,” Nature 166, 237 (1950)
[Crossref] [PubMed]

Banerjee, P.P.

T.-C. Poon and P.P. Banerjee, Contemporary Optical Image Processing with MATLAB ®, (Elsevier, Oxford, 2001).

Benton, S.A.

P. St. Hilaire, S.A. Benton, and M. Lucente, “Synthetic aperture holography: a novel approach to three-dimensional displays,” J. Opt. Soc. Am. A 9, 1969–1977 (1992).
[Crossref]

S.A. Benton, “The mathematical optics of white light transmission holograms,” presented at the First International Sym. On Display Holography, Lake Forest College, Lake Forest, Ill. (1982).

Enloe, L. H.

L. H. Enloe, J.A. Murphy, and C. B. Rubinstein, “Hologram transmission via television,” Bell Syst. Techn. 25, 335–339 (1966).

Grover, C. P.

Gurevich, S.B.

S.B. Gurevich et al., “Holographic image transmission by television,” Sov. Phys. 13, 378–383 (1968).

Haines, K.

E. Leith, J. Upatnieks, K. Hildebrand, and K. Haines, “Requirements for a wavefront reconstruction television facsimile system,” J. SMPTE 74, 893–896 (1965).
[Crossref]

Hilaire, P. St.

Hildebrand, K.

E. Leith, J. Upatnieks, K. Hildebrand, and K. Haines, “Requirements for a wavefront reconstruction television facsimile system,” J. SMPTE 74, 893–896 (1965).
[Crossref]

Indebetouw, G.

Kim, T.

Leith, E.

E. Leith, J. Upatnieks, K. Hildebrand, and K. Haines, “Requirements for a wavefront reconstruction television facsimile system,” J. SMPTE 74, 893–896 (1965).
[Crossref]

Lessard, R.A.

Lucente, M.

Macovski, A.

A. Macovski, “Considerations of television holography,” Opt. Acta 1831–39 (1971).
[Crossref]

Murphy, J.A.

L. H. Enloe, J.A. Murphy, and C. B. Rubinstein, “Hologram transmission via television,” Bell Syst. Techn. 25, 335–339 (1966).

Okoshi, T.

T. Okoshi, Three-dimensional Imaging Techniques, (Academic Press, New York, 1971)

Poon, T.-C.

T.-C. Poon, “Recent progress in optical scanning holography,” J. Holography and Speckle 1, 6–25 (2004)
[Crossref]

T.-C. Poon and G. Indebetouw, “Three-dimensional point spread functions of an optical heterodyne scanning image processor,” Appl. Opt. 42, 1485–1492 (2003)
[Crossref] [PubMed]

T.-C. Poon, “Three-dimensional television using optical scanning holography,” J. Information Display 3, 12–16 (2002).
[Crossref]

T.-C. Poon, M. Wu, K. Shinoda, and Y. Suzuki, “Optical scanning holography,” Proceedings of the IEEE,  84, 753–764, (1996).
[Crossref]

T.-C. Poon and T. Kim, “Optical image recognition of three-dimensional objects,” Appl. Opt. 38, 370–381 (1991)
[Crossref]

T.-C. Poon and P.P. Banerjee, Contemporary Optical Image Processing with MATLAB ®, (Elsevier, Oxford, 2001).

Rogers, G.L.

G.L. Rogers, “Gabor diffraction microscopy: the hologram as a generalized zone plate,” Nature 166, 237 (1950)
[Crossref] [PubMed]

Rubinstein, C. B.

L. H. Enloe, J.A. Murphy, and C. B. Rubinstein, “Hologram transmission via television,” Bell Syst. Techn. 25, 335–339 (1966).

Shinoda, K.

T.-C. Poon, M. Wu, K. Shinoda, and Y. Suzuki, “Optical scanning holography,” Proceedings of the IEEE,  84, 753–764, (1996).
[Crossref]

Suzuki, Y.

T.-C. Poon, M. Wu, K. Shinoda, and Y. Suzuki, “Optical scanning holography,” Proceedings of the IEEE,  84, 753–764, (1996).
[Crossref]

Tremblay, R.

Upatnieks, J.

E. Leith, J. Upatnieks, K. Hildebrand, and K. Haines, “Requirements for a wavefront reconstruction television facsimile system,” J. SMPTE 74, 893–896 (1965).
[Crossref]

Wu, M.

T.-C. Poon, M. Wu, K. Shinoda, and Y. Suzuki, “Optical scanning holography,” Proceedings of the IEEE,  84, 753–764, (1996).
[Crossref]

Appl. Opt. (3)

Bell Syst. Techn. (1)

L. H. Enloe, J.A. Murphy, and C. B. Rubinstein, “Hologram transmission via television,” Bell Syst. Techn. 25, 335–339 (1966).

J. Holography and Speckle (1)

T.-C. Poon, “Recent progress in optical scanning holography,” J. Holography and Speckle 1, 6–25 (2004)
[Crossref]

J. Information Display (1)

T.-C. Poon, “Three-dimensional television using optical scanning holography,” J. Information Display 3, 12–16 (2002).
[Crossref]

J. Opt. Soc. Am. A (1)

J. SMPTE (1)

E. Leith, J. Upatnieks, K. Hildebrand, and K. Haines, “Requirements for a wavefront reconstruction television facsimile system,” J. SMPTE 74, 893–896 (1965).
[Crossref]

Nature (1)

G.L. Rogers, “Gabor diffraction microscopy: the hologram as a generalized zone plate,” Nature 166, 237 (1950)
[Crossref] [PubMed]

Opt. Acta (1)

A. Macovski, “Considerations of television holography,” Opt. Acta 1831–39 (1971).
[Crossref]

Proceedings of the IEEE (1)

T.-C. Poon, M. Wu, K. Shinoda, and Y. Suzuki, “Optical scanning holography,” Proceedings of the IEEE,  84, 753–764, (1996).
[Crossref]

Sov. Phys. (1)

S.B. Gurevich et al., “Holographic image transmission by television,” Sov. Phys. 13, 378–383 (1968).

Other (4)

S.A. Benton, “The mathematical optics of white light transmission holograms,” presented at the First International Sym. On Display Holography, Lake Forest College, Lake Forest, Ill. (1982).

T. Okoshi, Three-dimensional Imaging Techniques, (Academic Press, New York, 1971)

C. J Kuo (ed.), Opt. Eng.35, special issue on “Electronic Holography, (1996).

T.-C. Poon and P.P. Banerjee, Contemporary Optical Image Processing with MATLAB ®, (Elsevier, Oxford, 2001).

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Figures (9)

Fig. 1.
Fig. 1.

Typical optical scanning holography setup: M1,M2 and M3 are mirrors, BS1 and BS2 are beamsplitters. LPFs are electronic lowpass filters, and ⊗ ’s are electronic multipliers

Fig 2.
Fig 2.

Cosine hologram obtained by correlation of cosine-Fresnel zone plate with the object

Fig. 3.
Fig. 3.

Concept of HPO-optical scanning holography

Fig. 4. (a)
Fig. 4. (a)

Object of 4 dots

Fig. 4. (b)
Fig. 4. (b)

1-D scanning FZP

Fig. 4. (c)
Fig. 4. (c)

HPO-cosine-hologram of Fig. 4(a)

Fig. 4. (d)
Fig. 4. (d)

HPO-sine-hologram of Fig. 4(a)

Fig. 5.
Fig. 5.

Simulation result of optical reconstruction of complex-HPO hologram

Fig. 6.
Fig. 6.

Proposed optical reconstruction for HPO-hologram

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

cos [ π λ z 0 ( x 2 + y 2 ) ] I 0 ( x , y ) .
H c ( x , y ) = i c ( x , y ) ± j i s ( x , y ) .
cos ( π λ z 0 x 2 ) exp [ ( x ω x ) 2 ( y ω y ) 2 ] I 0 ( x , y ) ,
cos ( π λ z 0 x 2 ) exp [ ( x ω x ) 2 ( y ω y ) 2 ] .

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