Abstract

The method for controlling the reconstruction wavelength is presented for Lippmann holograms recorded in dichromated gelatin. Two different kinds of gelatin are mixed to prepare the dichromated gelatin. One is of high bloom strength and the other is water soluble which is washed out during processing. The reconstruction wavelength can be shifted to short wavelengths and controlled freely to a certain extent by varying the ratio of the two kinds of gelatin. Experimental results are presented and the asymmetry observed in the selectivity curves is discussed.

© 1989 Optical Society of America

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References

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  1. S. P. McGrew, “Color Control in Dichromated Gelatin,” Proc. Soc. Photo-Opt. Instrum. Eng. 215, 24 (1980).
  2. D. G. McCauley, C. E. Simpson, W. J. Murbach, “Holographic Optical Element for Visual Display Applications,” Appl. Opt. 12, 232–242 (1973).
    [CrossRef] [PubMed]
  3. T. Kubota, “Recording of High Quality Color Holograms,” Appl. Opt. 25, 4141–4145 (1986).
    [CrossRef] [PubMed]
  4. T. Kubota, T. Ose, “Lippmann Color Holograms Recorded in Methylene-Blue-Sensitized Dichromated Gelatin,” Opt. Lett. 4, 289–291 (1979).
    [CrossRef] [PubMed]
  5. T. Kubota, “Characteristics of Thick Hologram Grating Recorded in Absorptive Medium,” Opt. Acta 25, 1035 (1978).
    [CrossRef]
  6. H. Kogelnik, “Coupled Wave Theory for Thick Hologram Gratings,” Bell Syst. Tech. J. 48, 2909 (1969).
  7. R. T. Ingwall, M. Troll, W. T. Vettering, “Properties of Reflection Holograms Recorded in Polaroid’s DMP-128 Photopolymer,” Proc. Soc, Photo-Opt. Instrum. Eng. 747, 67 (1987).
  8. H. Kogelnik, “Filter Response of Nonuniform Almost-Periodic Structures,” Bell Syst. Tech. J. 55, 109 (1976).

1987 (1)

R. T. Ingwall, M. Troll, W. T. Vettering, “Properties of Reflection Holograms Recorded in Polaroid’s DMP-128 Photopolymer,” Proc. Soc, Photo-Opt. Instrum. Eng. 747, 67 (1987).

1986 (1)

1980 (1)

S. P. McGrew, “Color Control in Dichromated Gelatin,” Proc. Soc. Photo-Opt. Instrum. Eng. 215, 24 (1980).

1979 (1)

1978 (1)

T. Kubota, “Characteristics of Thick Hologram Grating Recorded in Absorptive Medium,” Opt. Acta 25, 1035 (1978).
[CrossRef]

1976 (1)

H. Kogelnik, “Filter Response of Nonuniform Almost-Periodic Structures,” Bell Syst. Tech. J. 55, 109 (1976).

1973 (1)

1969 (1)

H. Kogelnik, “Coupled Wave Theory for Thick Hologram Gratings,” Bell Syst. Tech. J. 48, 2909 (1969).

Ingwall, R. T.

R. T. Ingwall, M. Troll, W. T. Vettering, “Properties of Reflection Holograms Recorded in Polaroid’s DMP-128 Photopolymer,” Proc. Soc, Photo-Opt. Instrum. Eng. 747, 67 (1987).

Kogelnik, H.

H. Kogelnik, “Filter Response of Nonuniform Almost-Periodic Structures,” Bell Syst. Tech. J. 55, 109 (1976).

H. Kogelnik, “Coupled Wave Theory for Thick Hologram Gratings,” Bell Syst. Tech. J. 48, 2909 (1969).

Kubota, T.

McCauley, D. G.

McGrew, S. P.

S. P. McGrew, “Color Control in Dichromated Gelatin,” Proc. Soc. Photo-Opt. Instrum. Eng. 215, 24 (1980).

Murbach, W. J.

Ose, T.

Simpson, C. E.

Troll, M.

R. T. Ingwall, M. Troll, W. T. Vettering, “Properties of Reflection Holograms Recorded in Polaroid’s DMP-128 Photopolymer,” Proc. Soc, Photo-Opt. Instrum. Eng. 747, 67 (1987).

Vettering, W. T.

R. T. Ingwall, M. Troll, W. T. Vettering, “Properties of Reflection Holograms Recorded in Polaroid’s DMP-128 Photopolymer,” Proc. Soc, Photo-Opt. Instrum. Eng. 747, 67 (1987).

Appl. Opt. (2)

Bell Syst. Tech. J. (2)

H. Kogelnik, “Coupled Wave Theory for Thick Hologram Gratings,” Bell Syst. Tech. J. 48, 2909 (1969).

H. Kogelnik, “Filter Response of Nonuniform Almost-Periodic Structures,” Bell Syst. Tech. J. 55, 109 (1976).

Opt. Acta (1)

T. Kubota, “Characteristics of Thick Hologram Grating Recorded in Absorptive Medium,” Opt. Acta 25, 1035 (1978).
[CrossRef]

Opt. Lett. (1)

Proc. Soc, Photo-Opt. Instrum. Eng. (1)

R. T. Ingwall, M. Troll, W. T. Vettering, “Properties of Reflection Holograms Recorded in Polaroid’s DMP-128 Photopolymer,” Proc. Soc, Photo-Opt. Instrum. Eng. 747, 67 (1987).

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

S. P. McGrew, “Color Control in Dichromated Gelatin,” Proc. Soc. Photo-Opt. Instrum. Eng. 215, 24 (1980).

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Figures (7)

Fig. 1
Fig. 1

Reconstruction wavelength of a Lippmann hologram recorded in DCG as a function of exposure for three kinds of gelatin. The recording wavelength is 514.5 nm.

Fig. 2
Fig. 2

Reconstruction wavelength of a Lippmann hologram recorded in DCG as a function of exposure for three kinds of gelatin. The recording wavelength is 488 nm.

Fig. 3
Fig. 3

Diffraction efficiency of a Lippmann hologram recorded in DCG as a function of exposure for three kinds of gelatin. The recording wavelength is 514.5 nm.

Fig. 4
Fig. 4

Diffraction efficiency of a Lippmann hologram recorded in DCG as a function of exposure for three kinds of gelatin. The recording wavelength is 488 nm.

Fig. 5
Fig. 5

Half-power width of the selectivity curve of a Lippmann hologram recorded in DCG as a function of exposure for three kinds of gelatin. The recording wavelength is 488 nm.

Fig. 6
Fig. 6

Geometry for analyzing the asymmetry of the selectivity curve of a Lippmann hologram.

Fig. 7
Fig. 7

Selectivity curves of Lippmann holograms recorded in DCG. The experimental data are λo = 514.5 nm, θr = 15° in air. (a) Curves for the hologram recorded in gelatin 1. The peak wavelength and maximum diffraction efficiency are 534 nm and 82%, respectively. The fitting curve is calculatd by assuming n1(z) = 0.027 + 0.014(z/T − 1)3, G(Z) = 0.038[0.9(z/T − 0.5)2 − (z/T − 0.5)], and Mz = 1.04. (b) Curves recorded for gelatin 3. The peak wavelength and maximum diffraction efficiency are 460 nm and 79%, respectively. The fitting curve is calculated by assuming n1(z) = 0.037 + 0.027(z/T − 1)3, G(z) = 0.095[0.5(z/T − 0.5)2 − (z/T − 0.5)], and Mz = 0.89. T0 = 12.5 μm and no = nc = 1.55 are assumed for both cases.

Tables (1)

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Table I Processing Procedure of the DCG Plate

Equations (12)

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k c ( sin θ c sin θ i ) k o ( sin θ r sin θ o ) / M x = 0 ,
Δ k = k c ( cos θ c cos θ i ) k o ( cos θ r cos θ o ) / M z .
d R ( z ) / d z = i κ ( z ) / cos θ r S ( z ) exp { i ψ ( z ) } ,
d S ( z ) / d z = i κ ( z ) / cos θ r R ( z ) exp { i ψ ( z ) } ,
κ ( z ) = n 1 ( z ) / λ c ,
ψ ( z ) = Δ k z ϕ ( z ) ,
ρ ( z ) = S ( z ) / R ( z ) exp { i ψ ( z ) } ,
d ρ / d z = i ρ d ψ / d z + i κ / cos θ r ( 1 + ρ 2 ) .
η = ρ ( 0 ) ρ * ( 0 ) ,
K z + ϕ ( z ) .
K = 2 π / d ,
Δ K ( z ) / K = Δ d ( z ) / d = G ( z ) ,

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