Abstract

Pseudoscopic images that keep a continuous parallax are shown to be possible due to a double diffraction process intermediated by a slit. One diffraction grating acts as a wavelength encoder of views while a second diffraction grating decodes the projected image. The process results in the enlargement of the image under common white light illumination.

© 2002 Optical Society of America

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References

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  1. J. Arai, F. Okano, H. Hoshino, and I. Yuyama “Optical shifter for a three-dimensional image by use of a gradient-index lens array,” App. Opt.41, 20, 4140 (2002)
    [CrossRef]
  2. J. J. Lunazzi, “Holophotography with a diffraction grating,” Opt. Eng. 29, 15–18 (1990).
    [CrossRef]
  3. J. J. Lunazzi and J.M.J. Ocampo,“Binocular disparity and stereopsis obtained under white light by means of a diffraction grating,” J. Modern Opt. 42, N1, 3–6 (1995).
    [CrossRef]
  4. J. J. Lunazzi, “Holoprojection of images by a double diffraction process,” in “Opt. e Fis.Atómica”, Proc. of the XIV Enc.Nac.de Fis.da Mat. Condensada,Soc. Bras. de Física eds. Caxambu-MG-BR,, V. S. Bagnato, and C. H. de Brito Cruzeds. 07-11.05.91, p OTI 5a.12:00 (1991).
  5. J. J. Lunazzi, “New possibilities in the utilisation of holographic screens,” SPIE 1667, 289–292 (1992).
    [CrossRef]
  6. J. J. Lunazzi, “Pseudoscopic Imaging by means of a holographic screen,” SPIE 1983, 583 (1993).

1995 (1)

J. J. Lunazzi and J.M.J. Ocampo,“Binocular disparity and stereopsis obtained under white light by means of a diffraction grating,” J. Modern Opt. 42, N1, 3–6 (1995).
[CrossRef]

1993 (1)

J. J. Lunazzi, “Pseudoscopic Imaging by means of a holographic screen,” SPIE 1983, 583 (1993).

1992 (1)

J. J. Lunazzi, “New possibilities in the utilisation of holographic screens,” SPIE 1667, 289–292 (1992).
[CrossRef]

1990 (1)

J. J. Lunazzi, “Holophotography with a diffraction grating,” Opt. Eng. 29, 15–18 (1990).
[CrossRef]

Arai, J.

J. Arai, F. Okano, H. Hoshino, and I. Yuyama “Optical shifter for a three-dimensional image by use of a gradient-index lens array,” App. Opt.41, 20, 4140 (2002)
[CrossRef]

Bagnato, V. S.

J. J. Lunazzi, “Holoprojection of images by a double diffraction process,” in “Opt. e Fis.Atómica”, Proc. of the XIV Enc.Nac.de Fis.da Mat. Condensada,Soc. Bras. de Física eds. Caxambu-MG-BR,, V. S. Bagnato, and C. H. de Brito Cruzeds. 07-11.05.91, p OTI 5a.12:00 (1991).

Caxambu-MG-BR,,

J. J. Lunazzi, “Holoprojection of images by a double diffraction process,” in “Opt. e Fis.Atómica”, Proc. of the XIV Enc.Nac.de Fis.da Mat. Condensada,Soc. Bras. de Física eds. Caxambu-MG-BR,, V. S. Bagnato, and C. H. de Brito Cruzeds. 07-11.05.91, p OTI 5a.12:00 (1991).

de Brito Cruz, C. H.

J. J. Lunazzi, “Holoprojection of images by a double diffraction process,” in “Opt. e Fis.Atómica”, Proc. of the XIV Enc.Nac.de Fis.da Mat. Condensada,Soc. Bras. de Física eds. Caxambu-MG-BR,, V. S. Bagnato, and C. H. de Brito Cruzeds. 07-11.05.91, p OTI 5a.12:00 (1991).

Hoshino, H.

J. Arai, F. Okano, H. Hoshino, and I. Yuyama “Optical shifter for a three-dimensional image by use of a gradient-index lens array,” App. Opt.41, 20, 4140 (2002)
[CrossRef]

Lunazzi, J. J.

J. J. Lunazzi and J.M.J. Ocampo,“Binocular disparity and stereopsis obtained under white light by means of a diffraction grating,” J. Modern Opt. 42, N1, 3–6 (1995).
[CrossRef]

J. J. Lunazzi, “Pseudoscopic Imaging by means of a holographic screen,” SPIE 1983, 583 (1993).

J. J. Lunazzi, “New possibilities in the utilisation of holographic screens,” SPIE 1667, 289–292 (1992).
[CrossRef]

J. J. Lunazzi, “Holophotography with a diffraction grating,” Opt. Eng. 29, 15–18 (1990).
[CrossRef]

J. J. Lunazzi, “Holoprojection of images by a double diffraction process,” in “Opt. e Fis.Atómica”, Proc. of the XIV Enc.Nac.de Fis.da Mat. Condensada,Soc. Bras. de Física eds. Caxambu-MG-BR,, V. S. Bagnato, and C. H. de Brito Cruzeds. 07-11.05.91, p OTI 5a.12:00 (1991).

Ocampo, J.M.J.

J. J. Lunazzi and J.M.J. Ocampo,“Binocular disparity and stereopsis obtained under white light by means of a diffraction grating,” J. Modern Opt. 42, N1, 3–6 (1995).
[CrossRef]

Okano, F.

J. Arai, F. Okano, H. Hoshino, and I. Yuyama “Optical shifter for a three-dimensional image by use of a gradient-index lens array,” App. Opt.41, 20, 4140 (2002)
[CrossRef]

Yuyama, I.

J. Arai, F. Okano, H. Hoshino, and I. Yuyama “Optical shifter for a three-dimensional image by use of a gradient-index lens array,” App. Opt.41, 20, 4140 (2002)
[CrossRef]

J. Modern Opt. (1)

J. J. Lunazzi and J.M.J. Ocampo,“Binocular disparity and stereopsis obtained under white light by means of a diffraction grating,” J. Modern Opt. 42, N1, 3–6 (1995).
[CrossRef]

Opt. Eng. (1)

J. J. Lunazzi, “Holophotography with a diffraction grating,” Opt. Eng. 29, 15–18 (1990).
[CrossRef]

SPIE (2)

J. J. Lunazzi, “New possibilities in the utilisation of holographic screens,” SPIE 1667, 289–292 (1992).
[CrossRef]

J. J. Lunazzi, “Pseudoscopic Imaging by means of a holographic screen,” SPIE 1983, 583 (1993).

Other (2)

J. Arai, F. Okano, H. Hoshino, and I. Yuyama “Optical shifter for a three-dimensional image by use of a gradient-index lens array,” App. Opt.41, 20, 4140 (2002)
[CrossRef]

J. J. Lunazzi, “Holoprojection of images by a double diffraction process,” in “Opt. e Fis.Atómica”, Proc. of the XIV Enc.Nac.de Fis.da Mat. Condensada,Soc. Bras. de Física eds. Caxambu-MG-BR,, V. S. Bagnato, and C. H. de Brito Cruzeds. 07-11.05.91, p OTI 5a.12:00 (1991).

Supplementary Material (1)

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Figures (5)

Fig. 1.
Fig. 1.

ray-tracing for the symmetrical image of a point white-light object.

Fig. 2.
Fig. 2.

ray-tracing scheme for the depth inverted image.

Fig. 3.
Fig. 3.

Ray-tracing scheme for rays reaching an observer. Two object points A,B are represented.

Fig. 4.
Fig. 4.

(2.5 Mb) Parallax and color change for three point objects (see video). a) left view b) center view c) right view

Fig. 5.
Fig. 5.

Image of a halogeneous lamp with reflector. Left: direct image; Right: double diffracted image

Equations (3)

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sin < θ > = < λ > . ν
sin θ i sin θ d = λ . ν
( x x 1 ) ( x x 1 ) 2 + z 2 x 1 x 1 2 + z R 2 = λν

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