Abstract

We propose a new method based on in-line digital holography for the reconstruction of a wave front from only two intensity recordings. The simulation result shows that this method works well when the object wave is weak compared with the reference wave. This technique can be employed for real-time imaging.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. Gabor, Nature 161, 777 (1948).
    [CrossRef]
  2. L. P. Yaroslavsky and N. S. Merzyalov, Methods of Digital Holography (Consultants Bureau, New York, 1980).
    [CrossRef]
  3. G. Pedrini, P. Froning, H. Tiziani, and F. M. Santoyo, Opt. Commun. 164, 257 (1999).
    [CrossRef]
  4. S. Schedin, G. Pedrini, H. Tiziani, A. K. Aggarwal, and M. E. Gusev, Appl. Opt. 40, 100 (2001).
    [CrossRef]
  5. S. Murata and N. Yasuda, Opt. Laser Technol. 32, 567 (2000).
    [CrossRef]
  6. E. Cuche, F. Bevilacqua, and C. Depeursinge, Opt. Lett. 24, 291 (1999).
    [CrossRef]
  7. T. Wilson and C. J. R. Sheppard, Theory and Practice of Scanning Optical Microscopy (Academic, London, 1990).
  8. D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
    [CrossRef] [PubMed]
  9. U. Schnars and W. Juptner, Appl. Opt. 22, 1790 (1994).
  10. B. Nilsson and T. E. Carlsson, Appl. Opt. 37, 7954 (1998).
    [CrossRef]
  11. T. Zhang and I. Yamaguchi, Opt. Lett. 23, 1221 (1998).
    [CrossRef]
  12. G. Liu and P. D. Scott, J. Opt. Soc. Am. A 4, 159 (1987).
    [CrossRef]

2001 (1)

2000 (1)

S. Murata and N. Yasuda, Opt. Laser Technol. 32, 567 (2000).
[CrossRef]

1999 (2)

G. Pedrini, P. Froning, H. Tiziani, and F. M. Santoyo, Opt. Commun. 164, 257 (1999).
[CrossRef]

E. Cuche, F. Bevilacqua, and C. Depeursinge, Opt. Lett. 24, 291 (1999).
[CrossRef]

1998 (2)

1994 (1)

U. Schnars and W. Juptner, Appl. Opt. 22, 1790 (1994).

1991 (1)

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

1987 (1)

1948 (1)

D. Gabor, Nature 161, 777 (1948).
[CrossRef]

Aggarwal, A. K.

Bevilacqua, F.

Carlsson, T. E.

Chang, W.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Cuche, E.

Depeursinge, C.

Flotte, T.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Froning, P.

G. Pedrini, P. Froning, H. Tiziani, and F. M. Santoyo, Opt. Commun. 164, 257 (1999).
[CrossRef]

Fujimoto, J. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Gabor, D.

D. Gabor, Nature 161, 777 (1948).
[CrossRef]

Gregory, K.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Gusev, M. E.

Hee, M. R.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Huang, D.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Juptner, W.

U. Schnars and W. Juptner, Appl. Opt. 22, 1790 (1994).

Lin, C. P.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Liu, G.

Merzyalov, N. S.

L. P. Yaroslavsky and N. S. Merzyalov, Methods of Digital Holography (Consultants Bureau, New York, 1980).
[CrossRef]

Murata, S.

S. Murata and N. Yasuda, Opt. Laser Technol. 32, 567 (2000).
[CrossRef]

Nilsson, B.

Pedrini, G.

S. Schedin, G. Pedrini, H. Tiziani, A. K. Aggarwal, and M. E. Gusev, Appl. Opt. 40, 100 (2001).
[CrossRef]

G. Pedrini, P. Froning, H. Tiziani, and F. M. Santoyo, Opt. Commun. 164, 257 (1999).
[CrossRef]

Puliafito, C. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Santoyo, F. M.

G. Pedrini, P. Froning, H. Tiziani, and F. M. Santoyo, Opt. Commun. 164, 257 (1999).
[CrossRef]

Schedin, S.

Schnars, U.

U. Schnars and W. Juptner, Appl. Opt. 22, 1790 (1994).

Schuman, J. S.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Scott, P. D.

Sheppard, C. J. R.

T. Wilson and C. J. R. Sheppard, Theory and Practice of Scanning Optical Microscopy (Academic, London, 1990).

Stinson, W. G.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Swanson, E. A.

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Tiziani, H.

S. Schedin, G. Pedrini, H. Tiziani, A. K. Aggarwal, and M. E. Gusev, Appl. Opt. 40, 100 (2001).
[CrossRef]

G. Pedrini, P. Froning, H. Tiziani, and F. M. Santoyo, Opt. Commun. 164, 257 (1999).
[CrossRef]

Wilson, T.

T. Wilson and C. J. R. Sheppard, Theory and Practice of Scanning Optical Microscopy (Academic, London, 1990).

Yamaguchi, I.

Yaroslavsky, L. P.

L. P. Yaroslavsky and N. S. Merzyalov, Methods of Digital Holography (Consultants Bureau, New York, 1980).
[CrossRef]

Yasuda, N.

S. Murata and N. Yasuda, Opt. Laser Technol. 32, 567 (2000).
[CrossRef]

Zhang, T.

Appl. Opt. (3)

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

Nature (1)

D. Gabor, Nature 161, 777 (1948).
[CrossRef]

Opt. Commun. (1)

G. Pedrini, P. Froning, H. Tiziani, and F. M. Santoyo, Opt. Commun. 164, 257 (1999).
[CrossRef]

Opt. Laser Technol. (1)

S. Murata and N. Yasuda, Opt. Laser Technol. 32, 567 (2000).
[CrossRef]

Opt. Lett. (2)

Science (1)

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, Science 254, 1178 (1991).
[CrossRef] [PubMed]

Other (2)

T. Wilson and C. J. R. Sheppard, Theory and Practice of Scanning Optical Microscopy (Academic, London, 1990).

L. P. Yaroslavsky and N. S. Merzyalov, Methods of Digital Holography (Consultants Bureau, New York, 1980).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

In-line hologram recording system.

Fig. 2
Fig. 2

Original image used for simulations.

Fig. 3
Fig. 3

Image reconstructed by the Fresnel transformation method.

Fig. 4
Fig. 4

Image reconstructed by our method.

Equations (9)

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

Ax,y,z=A0 exp-i2πdλ1+ux,y,z,
ux,y,z=Ufx,fy,0Hfx,fy,z×expi2πfxx+fyydfxdfy,
Ufx,fy,0=ux,y,0exp-i2πfxx+fyydxdy
Ax,y,z=A0 exp-i2πdλexpux,y,z.
Ix,y,z=Ax,y,z2=A02 expux,y,z+u*x,y,z,
lx,y,z=logIx,y,z/A02=ux,y,z+u*x,y,z;
Lx,y,z=lx,y,zexp-i2πfxx+fyydxdy=Ufx,fy,0Hfx,fy,z+U*-fx,-fy,0H*fx,fy,z.
ΔLx,y,z=Lx,y,z-Lx,y,z+ΔzHfx,fy,Δz=Ufx,fy,0Hfx,fy,z×1-Hfx,fy,2Δz.
Hfx,fy,z=exp-i2πzλ1-λ2fx2-λ2fy21/2.

Metrics