Abstract

The principle of recording holograms directly on a CCD target is described. A real image of the object is reconstructed from the digitally sampled hologram by means of numerical methods.

© 1994 Optical Society of America

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References

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  1. W. Jüptner, “Holographic techniques,” in Sensors and Sensory Systems for Advanced Robots, P. Dario, ed., Vol. 43 of the NATO Advanced Science Institutes Series (Springer, New York, 1988), pp. 273–293.
  2. R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971), Chap. 20.2, p. 573.
  3. M. A. Kronrod, L. P. Yaroslavski, N. S. Merzlyakov, “Computer synthesis of transparency holograms,” Sov. Phys. Tech. Phys. 17, 329–332 (1972).
  4. M. A. Kronrod, N. S. Merzlyakov, L. P. Yaroslavski, “Reconstruction of holograms with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).
  5. L. Onural, P. D. Scott, “Digital decoding of in-line holograms,” Opt. Eng. 26, 1124–1132 (1987).
  6. P. Das, Lasers and Optical Engineering (Springer, New York, 1991), Chap. 2.4, p. 81.
  7. L. P. Yaroslavskii, N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, 1980), Chap. 1, pp. 9–15.

1987 (1)

L. Onural, P. D. Scott, “Digital decoding of in-line holograms,” Opt. Eng. 26, 1124–1132 (1987).

1972 (2)

M. A. Kronrod, L. P. Yaroslavski, N. S. Merzlyakov, “Computer synthesis of transparency holograms,” Sov. Phys. Tech. Phys. 17, 329–332 (1972).

M. A. Kronrod, N. S. Merzlyakov, L. P. Yaroslavski, “Reconstruction of holograms with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

Burckhardt, C. B.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971), Chap. 20.2, p. 573.

Collier, R. J.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971), Chap. 20.2, p. 573.

Das, P.

P. Das, Lasers and Optical Engineering (Springer, New York, 1991), Chap. 2.4, p. 81.

Jüptner, W.

W. Jüptner, “Holographic techniques,” in Sensors and Sensory Systems for Advanced Robots, P. Dario, ed., Vol. 43 of the NATO Advanced Science Institutes Series (Springer, New York, 1988), pp. 273–293.

Kronrod, M. A.

M. A. Kronrod, L. P. Yaroslavski, N. S. Merzlyakov, “Computer synthesis of transparency holograms,” Sov. Phys. Tech. Phys. 17, 329–332 (1972).

M. A. Kronrod, N. S. Merzlyakov, L. P. Yaroslavski, “Reconstruction of holograms with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

Lin, L. H.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971), Chap. 20.2, p. 573.

Merzlyakov, N. S.

M. A. Kronrod, N. S. Merzlyakov, L. P. Yaroslavski, “Reconstruction of holograms with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

M. A. Kronrod, L. P. Yaroslavski, N. S. Merzlyakov, “Computer synthesis of transparency holograms,” Sov. Phys. Tech. Phys. 17, 329–332 (1972).

L. P. Yaroslavskii, N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, 1980), Chap. 1, pp. 9–15.

Onural, L.

L. Onural, P. D. Scott, “Digital decoding of in-line holograms,” Opt. Eng. 26, 1124–1132 (1987).

Scott, P. D.

L. Onural, P. D. Scott, “Digital decoding of in-line holograms,” Opt. Eng. 26, 1124–1132 (1987).

Yaroslavski, L. P.

M. A. Kronrod, N. S. Merzlyakov, L. P. Yaroslavski, “Reconstruction of holograms with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

M. A. Kronrod, L. P. Yaroslavski, N. S. Merzlyakov, “Computer synthesis of transparency holograms,” Sov. Phys. Tech. Phys. 17, 329–332 (1972).

Yaroslavskii, L. P.

L. P. Yaroslavskii, N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, 1980), Chap. 1, pp. 9–15.

Opt. Eng. (1)

L. Onural, P. D. Scott, “Digital decoding of in-line holograms,” Opt. Eng. 26, 1124–1132 (1987).

Sov. Phys. Tech. Phys. (2)

M. A. Kronrod, L. P. Yaroslavski, N. S. Merzlyakov, “Computer synthesis of transparency holograms,” Sov. Phys. Tech. Phys. 17, 329–332 (1972).

M. A. Kronrod, N. S. Merzlyakov, L. P. Yaroslavski, “Reconstruction of holograms with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).

Other (4)

W. Jüptner, “Holographic techniques,” in Sensors and Sensory Systems for Advanced Robots, P. Dario, ed., Vol. 43 of the NATO Advanced Science Institutes Series (Springer, New York, 1988), pp. 273–293.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971), Chap. 20.2, p. 573.

P. Das, Lasers and Optical Engineering (Springer, New York, 1991), Chap. 2.4, p. 81.

L. P. Yaroslavskii, N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, New York, 1980), Chap. 1, pp. 9–15.

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Figures (3)

Fig. 1
Fig. 1

Off-axis holography with a plane reference wave: (a) recording, (b) reconstruction.

Fig. 2
Fig. 2

Digitally sampled off-axis hologram.

Fig. 3
Fig. 3

Numerical reconstruction.

Equations (4)

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Γ ( ξ , η ) = i a λ d exp [ i π λ d ( ξ 2 + η 2 ) ] × ( x , y ) t ( x , y ) exp [ i π λ d ( x 2 + y 2 ) ] × exp [ + i 2 π λ d ( x ξ + y η ) ] d x d y .
d 3 π 4 λ [ ( ξ x ) 2 + ( η y ) 2 ] 2 .
I ( ξ , η ) = | Γ ( ξ , η ) | 2 .
Γ ( r , s ) = exp [ i π λ d ( r 2 Δ ξ 2 + s 2 Δ η 2 ) ] × k = 0 N 1 l = 0 N 1 t ( k , l ) exp [ i π λ d ( k 2 Δ x 2 + l 2 Δ y 2 ) ] × exp [ i 2 π ( k r N + l s N ) ] .

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