Abstract

A novel volume holographic optical element serving as an atypical mirror with a lateral magnification of 1 in both the horizontal and the vertical directions is proposed. Optical imaging is performed by point-to-point imaging with local cross talk, which prevents ghost diffraction spots from the holographic element of multiple gratings.

© 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, 1993).
  3. G. Barbastathis and D. Psaltis, in Holographic Data Storage, H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds. (Springer Optical Science, 2000).
  4. C. C. Sun and W. C. Su, Appl. Opt. 40, 1253 (2001).
    [CrossRef]
  5. G. A. Rakuljic, V. Leyva, and A. Yariv, Opt. Lett. 17, 1471 (1992).
    [CrossRef]
  6. G. Barbastathis, M. Balberg, and D. J. Brady, Opt. Lett. 24, 811 (1999).
    [CrossRef]
  7. A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1957 (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, Y. M. Chen, and W. C. Su, Opt. Eng. 40, 160 (2001).
    [CrossRef]
  12. C. C. Sun, T. C. Teng, and Y. W. Yu, Opt. Lett. 30, 1132 (2005).
    [CrossRef] [PubMed]
  13. C. C. Sun, Opt. Eng. 42, 1184 (2003).
    [CrossRef]

2005 (1)

2004 (3)

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1957 (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]

2001 (2)

C. C. Sun, Y. M. Chen, and W. C. Su, Opt. Eng. 40, 160 (2001).
[CrossRef]

C. C. Sun and W. C. Su, Appl. Opt. 40, 1253 (2001).
[CrossRef]

1999 (1)

1992 (1)

1969 (1)

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

Balberg, M.

Barbastathis, G.

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1957 (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 Optical Science, 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]

Chen, Y. M.

C. C. Sun, Y. M. Chen, and W. C. Su, Opt. Eng. 40, 160 (2001).
[CrossRef]

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]

Leyva, V.

Liu, W.

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1957 (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, 1957 (2004).
[CrossRef]

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

Rakuljic, G. A.

Sinha, A.

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1957 (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]

C. C. Sun, Y. M. Chen, and W. C. Su, Opt. Eng. 40, 160 (2001).
[CrossRef]

C. C. Sun and W. C. Su, Appl. Opt. 40, 1253 (2001).
[CrossRef]

Sun, C. C.

C. C. Sun, T. C. Teng, and Y. W. Yu, Opt. Lett. 30, 1132 (2005).
[CrossRef] [PubMed]

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, Y. M. Chen, and W. C. Su, Opt. Eng. 40, 160 (2001).
[CrossRef]

C. C. Sun and W. C. Su, Appl. Opt. 40, 1253 (2001).
[CrossRef]

Teng, T. C.

Wu, M.

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

Yariv, A.

Yeh, P.

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

Yu, Y. W.

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, Y. M. Chen, and W. C. Su, Opt. Eng. 40, 160 (2001).
[CrossRef]

A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, Opt. Eng. 43, 1957 (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]

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

Opt. Lett. (3)

Other (2)

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

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

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Figures (4)

Fig. 1
Fig. 1

Schematic diagram of the writing condition of the VHOE.

Fig. 2
Fig. 2

Normalized diffraction efficiency in both the vertical and the horizontal directions as well as the displacement of the diffracted spot versus the displacement of the reading light.

Fig. 3
Fig. 3

(a) Geometry of the writing condition in the local cross-talk case. (b) Readout pattern when the reading light is emerging at position 5 in region I.

Fig. 4
Fig. 4

(a) Geometry of the writing condition in a nonlocal cross-talk case. (b) Readout pattern when the reading light is emerging at position 5 in region I.

Equations (7)

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E r m = A r exp { i n k [ ( x x r m ) 2 + ( y y r m ) 2 2 ( n z 0 z 0 + z ) ] } ,
E s m = A s { i n k [ ( x x s m ) 2 + ( y y s m ) 2 2 ( n z 0 z 0 + z ) ] } ,
E d ( x d , y d , 0 ) = λ x 2 λ x 2 λ y 2 λ y 2 z 0 z 0 + λ z ( m = 1 M E r m * E s m ) E p exp { i n k [ ( x d x ) 2 + ( y d y ) 2 2 ( n z 0 z 0 + z ) ] } d x d y d z ,
E p = A p exp { i n k [ ( x x p ) 2 + ( y y p ) 2 2 ( n z 0 z 0 + z ) ] } .
E d ( x d , y d , 0 ) { m = 1 M exp [ i n k ( x d 2 + y d 2 ) + ( x p 2 + y p 2 ) ( x r m 2 + y r m 2 ) ( x s m 2 + y s m 2 ) 2 ( n z 0 + 0.5 l z ) ] } sinc [ ( x d + x p x r m x s m ) n l x λ ( n z 0 + 0.5 l z ) ] sinc [ ( y d + y p y r m y s m ) n l y λ ( n z 0 + 0.5 l z ) ] sinc [ n l z ( x d 2 + y d 2 ) + ( x p 2 + y p 2 ) ( x r m 2 + y r m 2 ) ( x s m 2 + y s m 2 ) 2 λ ( n z 0 + 0.5 l z ) 2 ] .
Δ x d = Δ x p ,
Δ y d = Δ y p .

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