Abstract

We propose a novel imaging structure based on a volume holographic optical element that allows one-dimensional optical imaging through a specific Bragg window. The lateral magnification is shown to be linear and negative. Lateral magnifications of 2.5, 5, and 10 of the imaging element are demonstrated theoretically and experimentally.

© 2005 Optical Society of America

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References

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  1. H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
    [CrossRef]
  2. P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993).
  3. C. C. Sun, M. S. Tsaur, B. Wang, W. G. Su, and A. E. T. Chiou, Appl. Opt. 38, 4316 (1999).
    [CrossRef]
  4. G. Barbastathis and D. Psaltis, in Holographic Data Storage, H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds. (Springer, New York, 2000).
  5. G. Barbastathis, M. Balberg, and D. J. Brady, Opt. Lett. 24, 811 (1999).
    [CrossRef]
  6. C. C. Sun and P. P. Banerjee, Opt. Eng. 43, 1957 (2004).
    [CrossRef]
  7. A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1959 (2004).
    [CrossRef]
  8. L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, Opt. Eng. 43, 2009 (2004).
    [CrossRef]
  9. F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, Opt. Eng. 43, 2017 (2004).
    [CrossRef]
  10. C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, Microwave Opt. Technol. Lett. 34, 319 (2002).
    [CrossRef]
  11. C. C. Sun, Opt. Eng. 42, 1184 (2003).
    [CrossRef]

2004 (4)

C. C. Sun and P. P. Banerjee, Opt. Eng. 43, 1957 (2004).
[CrossRef]

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1959 (2004).
[CrossRef]

L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, Opt. Eng. 43, 2009 (2004).
[CrossRef]

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, Opt. Eng. 43, 2017 (2004).
[CrossRef]

2003 (1)

C. C. Sun, Opt. Eng. 42, 1184 (2003).
[CrossRef]

2002 (1)

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, Microwave Opt. Technol. Lett. 34, 319 (2002).
[CrossRef]

1999 (2)

1969 (1)

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
[CrossRef]

Balberg, M.

Banerjee, P. P.

C. C. Sun and P. P. Banerjee, Opt. Eng. 43, 1957 (2004).
[CrossRef]

Barbastathis, G.

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1959 (2004).
[CrossRef]

G. Barbastathis, M. Balberg, and D. J. Brady, Opt. Lett. 24, 811 (1999).
[CrossRef]

G. Barbastathis and D. Psaltis, in Holographic Data Storage, H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds. (Springer, New York, 2000).

Brady, D. J.

Cao, L.

L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, Opt. Eng. 43, 2009 (2004).
[CrossRef]

Chang, J. Y.

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, Microwave Opt. Technol. Lett. 34, 319 (2002).
[CrossRef]

Chiou, A. E. T.

Havermeyer, F.

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, Opt. Eng. 43, 2017 (2004).
[CrossRef]

He, Q.

L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, Opt. Eng. 43, 2009 (2004).
[CrossRef]

Hsu, C. Y.

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, Microwave Opt. Technol. Lett. 34, 319 (2002).
[CrossRef]

Jin, G.

L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, Opt. Eng. 43, 2009 (2004).
[CrossRef]

Kogelnik, H.

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
[CrossRef]

Liu, W.

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1959 (2004).
[CrossRef]

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, Opt. Eng. 43, 2017 (2004).
[CrossRef]

Long, H.

L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, Opt. Eng. 43, 2009 (2004).
[CrossRef]

Ma, X.

L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, Opt. Eng. 43, 2009 (2004).
[CrossRef]

Moser, C.

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, Opt. Eng. 43, 2017 (2004).
[CrossRef]

Ouyang, Y.

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, Microwave Opt. Technol. Lett. 34, 319 (2002).
[CrossRef]

Psaltis, D.

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, Opt. Eng. 43, 2017 (2004).
[CrossRef]

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1959 (2004).
[CrossRef]

G. Barbastathis and D. Psaltis, in Holographic Data Storage, H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds. (Springer, New York, 2000).

Sinha, A.

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1959 (2004).
[CrossRef]

Steckman, G. J.

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, Opt. Eng. 43, 2017 (2004).
[CrossRef]

Su, W. C.

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, Microwave Opt. Technol. Lett. 34, 319 (2002).
[CrossRef]

Su, W. G.

Sun, C. C.

C. C. Sun and P. P. Banerjee, Opt. Eng. 43, 1957 (2004).
[CrossRef]

C. C. Sun, Opt. Eng. 42, 1184 (2003).
[CrossRef]

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, Microwave Opt. Technol. Lett. 34, 319 (2002).
[CrossRef]

C. C. Sun, M. S. Tsaur, B. Wang, W. G. Su, and A. E. T. Chiou, Appl. Opt. 38, 4316 (1999).
[CrossRef]

Tsaur, M. S.

Wang, B.

Wu, M.

L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, Opt. Eng. 43, 2009 (2004).
[CrossRef]

Yeh, P.

P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993).

Appl. Opt. (1)

Bell Syst. Tech. J. (1)

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
[CrossRef]

Microwave Opt. Technol. Lett. (1)

C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y. Chang, Microwave Opt. Technol. Lett. 34, 319 (2002).
[CrossRef]

Opt. Eng. (5)

C. C. Sun, Opt. Eng. 42, 1184 (2003).
[CrossRef]

C. C. Sun and P. P. Banerjee, Opt. Eng. 43, 1957 (2004).
[CrossRef]

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1959 (2004).
[CrossRef]

L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, Opt. Eng. 43, 2009 (2004).
[CrossRef]

F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J. Steckman, Opt. Eng. 43, 2017 (2004).
[CrossRef]

Opt. Lett. (1)

Other (2)

P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993).

G. Barbastathis and D. Psaltis, in Holographic Data Storage, H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds. (Springer, New York, 2000).

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Figures (4)

Fig. 1
Fig. 1

Schematic diagram of the writing condition of the VHOE.

Fig. 2
Fig. 2

Position of the diffracted focusing spot with respect to the position of the reading light source when both s 1 and s 2 are 10 cm .

Fig. 3
Fig. 3

Theoretical simulation of the relative diffraction intensity versus the vertical displacement of the reading light.

Fig. 4
Fig. 4

Experimental results of the displacement of the diffracted spot versus the displacement of the point source of the reading light. The distance ratios s 2 s 1 in air are (a) 25 cm 2.5 cm , (b) 25 cm 5 cm , (c) 25 cm 10 cm . The solid lines are plotted based on Eq. (9), considering the refraction of the crystal.

Equations (11)

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

E r = A r exp [ i k ( x 2 + y 2 2 s 1 ) ] ,
E s = A s exp [ i k ( y 2 + z 2 2 s 2 ) ] ,
E p = A p exp { i k [ ( x Δ x 1 ) 2 + ( y Δ y 1 ) 2 2 s 1 ] } ,
E d = l x 2 l x 2 l y 2 l y 2 l z 2 l z 2 E r * E s E p exp { i k [ ( z Δ z 2 ) 2 + ( s 2 x ) 2 + ( y Δ y 2 ) 2 ] 1 2 } d x d y d z ,
E d = l x 2 l x 2 l y 2 l y 2 l z 2 l z 2 A r A s A p exp { i k [ z Δ z 2 S 2 + y ( s 1 Δ y 2 + s 2 Δ y 1 ) s 1 s 2 + x Δ x 1 s 1 ] } d x d y d z ,
I d sinc 2 [ l y ( s 1 Δ y 2 + s 2 Δ y 1 ) λ s 1 s 2 ] sinc 2 ( l x Δ x 1 λ s 1 ) sinc 2 ( l z Δ z 2 λ s 2 ) .
d x 1 = λ s 1 l x .
s 1 Δ y 2 + s 2 Δ y 1 = 0 .
M t = Δ y 2 Δ y 1 = s 2 s 1 .
d y 2 = λ s 2 l y ,
d z 2 = λ s 2 l z .

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