Abstract

A method for achromatic volume holography is described using a combination of material and grating dispersion. With barium titanate as the dispersive material, a bandwidth of 250 nm is realized. The device may be used for broadband phase conjugation and image reconstruction.

© 1989 Optical Society of America

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References

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  1. R. H. Katyl, Appl. Opt. 11, 1241, 1248, 1255 (1972).
    [CrossRef] [PubMed]
  2. E. N. Leith, B. J. Chang, Appl. Opt. 12, 1957 (1973).
    [CrossRef] [PubMed]
  3. E. N. Leith, G. J. Swanson, Opt. Lett. 7, 596 (1982).
    [CrossRef] [PubMed]
  4. J. Ma, L. Liu, S. Wu, Z. Wang, L. Xu, Opt. Lett. 14, 572 (1989).
    [CrossRef] [PubMed]
  5. J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, Appl. Opt. 8, 181 (1969).
    [CrossRef]
  6. S. H. Wemple, M. DiDomenico, I. Camlibel, J. Phys. Chem. Solids 29, 1797 (1968).
    [CrossRef]
  7. See, e.g., M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1980), p. 97.

1989 (1)

1982 (1)

1973 (1)

1972 (1)

1969 (1)

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, Appl. Opt. 8, 181 (1969).
[CrossRef]

1968 (1)

S. H. Wemple, M. DiDomenico, I. Camlibel, J. Phys. Chem. Solids 29, 1797 (1968).
[CrossRef]

Born, M.

See, e.g., M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1980), p. 97.

Camlibel, I.

S. H. Wemple, M. DiDomenico, I. Camlibel, J. Phys. Chem. Solids 29, 1797 (1968).
[CrossRef]

Chang, B. J.

DiDomenico, M.

S. H. Wemple, M. DiDomenico, I. Camlibel, J. Phys. Chem. Solids 29, 1797 (1968).
[CrossRef]

Goodman, J. W.

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, Appl. Opt. 8, 181 (1969).
[CrossRef]

Jackson, D. W.

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, Appl. Opt. 8, 181 (1969).
[CrossRef]

Katyl, R. H.

Knotts, J.

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, Appl. Opt. 8, 181 (1969).
[CrossRef]

Lehmann, M.

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, Appl. Opt. 8, 181 (1969).
[CrossRef]

Leith, E. N.

Liu, L.

Ma, J.

Swanson, G. J.

Wang, Z.

Wemple, S. H.

S. H. Wemple, M. DiDomenico, I. Camlibel, J. Phys. Chem. Solids 29, 1797 (1968).
[CrossRef]

Wolf, E.

See, e.g., M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1980), p. 97.

Wu, S.

Xu, L.

Appl. Opt. (3)

J. Phys. Chem. Solids (1)

S. H. Wemple, M. DiDomenico, I. Camlibel, J. Phys. Chem. Solids 29, 1797 (1968).
[CrossRef]

Opt. Lett. (2)

Other (1)

See, e.g., M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1980), p. 97.

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Figures (3)

Fig. 1
Fig. 1

(a) Schematic of achromatic volume holography device. A fixed grating produces a diffracted beam that is imaged achromatically to the volume holographic recording medium. The undiffracted beam is manipulated by suitable filters to become a plane-wave reference or a point-spread sample. (b) The arrangement for image reconstruction. (c) The arrangement for white-light phase conjugation.

Fig. 2
Fig. 2

Wave vectors of boams incidont upon and internal to the dispersive compensator. This dispersive compensator may be the recording medium itself or the surface of a prism introduced into the system.

Fig. 3
Fig. 3

(a) Phase mismatch versus the wavelength for a crystal tilt of 0, 0.1, 0.245 (optimum for a 10-μm fixed grating period), and 0.4 rad. Also shown is the normalized diffraction efficiency η versus the wavelength for a crystal tilt of (b) 0 rad, (c) 0.1 rad, (d) 0.245 rad (optimum), and (e) 0.4 rad.

Equations (8)

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α = { sin 1 [ sin ( ϑ ψ ) / n ] sin 1 [ sin ( ψ ) / n ] } / 2 ,
α = ( ϑ 2 ψ ) / 2 n .
ψ = ( λ n / n ) / 2 d
ψ = 2 . 45 μ m / d ,
k g s = ( sin ϑ cos ψ + sin ψ cos ϑ sin ψ ) ω / c = constant = [ sin ( ϑ ψ ) + sin ψ ] ω / c = constant .
Δ k r = ( | k 2 | | k 1 k g | ) L / cos β .
k g = k 0 n ( λ 0 ) [ sin ( ψ + β ) sin ( ψ ψ ) , 0 , cos ( ψ ψ ) cos ( ψ + β ) ] ,
k 1 = k n ( λ ) [ sin ( ψ ψ ) , 0 , cos ( ψ ψ ) ] .

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