Abstract

Anamorphic optical systems with different horizontal and vertical magnifications are constructed by using programmable anamorphic lenses written on a magneto-optic spatial light modulator.

© 1992 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. A. Davis, D. M. Cottrell, R. A. Lilly, S. W. Connely, “Multiplexed phase-encoded lenses written on spatial light modulators,” Opt. Lett. 14, 420–422 (1989).
    [CrossRef] [PubMed]
  2. D. M. Cottrell, J. A. Davis, T. R. Hedman, R. A. Lilly, “Multiple imaging phase-encoded optical elements written on programmable spatial light modulators,” Appl. Opt. 29, 2505–2509 (1990).
    [CrossRef] [PubMed]
  3. J. A. Davis, W. V. Brandt, D. M. Cottrell, R. M. Bunch, “Spatial image differentiation using programmable binary optical elements,” Appl. Opt. 30, 4610–4614 (1991).
    [CrossRef] [PubMed]
  4. W. E. Ross, D. Psaltis, R. H. Anderson, “Two-dimensional magneto-optic spatial light modulator for signal processing,” Opt. Eng. 22, 485–490 (1983).
  5. E. C. Tarn, “Smart electro-optical zoom lens,” Opt. Lett. 17, 369–371 (1992).
    [CrossRef]
  6. W. J. Smith, Modern Optical Engineering, 2nd ed. (McGraw-Hill, New York, 1990), Chap. 9, p. 270.
  7. T. Szoplik, W. Kosek, C. Ferreira, “Nonsymmetric Fourier transforming with an anamorphic system,” Appl. Opt. 23, 905–909 (1984).
    [CrossRef] [PubMed]
  8. G. J. Swanson, W. B. Veldkamp, “Diffractive optical elements for use in infrared systems,” Opt. Eng. 28, 605–608 (1989).
  9. J. Amako, T. Sonehara, “Kinoform using an electrically controlled birefringent liquid-crystal spatial light modulator,” Appl. Opt. 30, 4622–4628 (1991).
    [CrossRef] [PubMed]
  10. F. Mok, J. Diep, H. K. Liu, D. Psaltis, “Real-time computer-generated hologram by means of liquid-crystal television spatial light modulator,” Opt. Lett. 11, 748–750 (1986).
    [CrossRef] [PubMed]

1992 (1)

1991 (2)

1990 (1)

1989 (2)

G. J. Swanson, W. B. Veldkamp, “Diffractive optical elements for use in infrared systems,” Opt. Eng. 28, 605–608 (1989).

J. A. Davis, D. M. Cottrell, R. A. Lilly, S. W. Connely, “Multiplexed phase-encoded lenses written on spatial light modulators,” Opt. Lett. 14, 420–422 (1989).
[CrossRef] [PubMed]

1986 (1)

1984 (1)

1983 (1)

W. E. Ross, D. Psaltis, R. H. Anderson, “Two-dimensional magneto-optic spatial light modulator for signal processing,” Opt. Eng. 22, 485–490 (1983).

Amako, J.

Anderson, R. H.

W. E. Ross, D. Psaltis, R. H. Anderson, “Two-dimensional magneto-optic spatial light modulator for signal processing,” Opt. Eng. 22, 485–490 (1983).

Brandt, W. V.

Bunch, R. M.

Connely, S. W.

Cottrell, D. M.

Davis, J. A.

Diep, J.

Ferreira, C.

Hedman, T. R.

Kosek, W.

Lilly, R. A.

Liu, H. K.

Mok, F.

Psaltis, D.

F. Mok, J. Diep, H. K. Liu, D. Psaltis, “Real-time computer-generated hologram by means of liquid-crystal television spatial light modulator,” Opt. Lett. 11, 748–750 (1986).
[CrossRef] [PubMed]

W. E. Ross, D. Psaltis, R. H. Anderson, “Two-dimensional magneto-optic spatial light modulator for signal processing,” Opt. Eng. 22, 485–490 (1983).

Ross, W. E.

W. E. Ross, D. Psaltis, R. H. Anderson, “Two-dimensional magneto-optic spatial light modulator for signal processing,” Opt. Eng. 22, 485–490 (1983).

Smith, W. J.

W. J. Smith, Modern Optical Engineering, 2nd ed. (McGraw-Hill, New York, 1990), Chap. 9, p. 270.

Sonehara, T.

Swanson, G. J.

G. J. Swanson, W. B. Veldkamp, “Diffractive optical elements for use in infrared systems,” Opt. Eng. 28, 605–608 (1989).

Szoplik, T.

Tarn, E. C.

Veldkamp, W. B.

G. J. Swanson, W. B. Veldkamp, “Diffractive optical elements for use in infrared systems,” Opt. Eng. 28, 605–608 (1989).

Appl. Opt. (4)

Opt. Eng. (2)

G. J. Swanson, W. B. Veldkamp, “Diffractive optical elements for use in infrared systems,” Opt. Eng. 28, 605–608 (1989).

W. E. Ross, D. Psaltis, R. H. Anderson, “Two-dimensional magneto-optic spatial light modulator for signal processing,” Opt. Eng. 22, 485–490 (1983).

Opt. Lett. (3)

Other (1)

W. J. Smith, Modern Optical Engineering, 2nd ed. (McGraw-Hill, New York, 1990), Chap. 9, p. 270.

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 (3)

Fig. 1
Fig. 1

Representative Fresnel lens patterns corresponding to the following: (a) spherical converging lens, (b) cylindrical lens, (c) converging lens with one focal length in the x direction and a different focal length in the y direction, (d) lens that is converging in the x direction and diverging in the y direction.

Fig. 2
Fig. 2

Representative input object (top), an anamorphic optical imaging system with a different magnification in the horizontal direction than in the vertical direction (middle), and the resulting distorted output image.

Fig. 3
Fig. 3

Experimental images captured with a computer vision system that uses the following lens systems: (a) spherical lens, (b) anamorphic system that reduces the vertical dimension, (c) anamorphic system that reduces the horizontal dimension.

Equations (4)

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

Z * ( x , y ; f ) = exp [ - 2 π ( x 2 + y 2 ) f ] .
2 π Z * ( x , y ; f ) + 2 π Z ( x , y ; f ) ,
f N = N Δ 2 λ ,
Z * ( x ; f X ) Z * ( y ; f Y ) .

Metrics