Abstract

We propose an approach of a reference modulation in a collinear holographic storage system to increase the signal-to-noise ratio (SNR). We derive a solution that shows that the point-spread function is related to the autocorrelation function of the reference pattern times a defocusing phase term. Accordingly, the lens-array phase modulation is proposed and demonstrated theoretically. The SNR of the system can be dramatically enhanced to 63.2, rather than 2.3 in the traditional approach.

© 2010 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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  10. C. C. Sun, Opt. Eng. 42, 1184 (2003).
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  11. C. C. Sun and W. C. Su, Appl. Opt. 40, 1253 (2001).
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  13. M. Toishi, “Holographic recording and reconstructing apparatus and holographic recording and reconstructing method,” U.S. patent application US 20060176532 A1 (August 10, 2006).
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  15. H. Horimai, Y. Sakane, and K. Kimura, “Optical information-recording medium, optical information-recording apparatus and optical information reproducing apparatus including optical information-recording medium and method for manufacturing polarization-changing layer,” U.S. patent application, US2004/0165518 A1 (August 26, 2004).

2007 (2)

2006 (4)

T. Shimura, S. Ichimura, R. Fujimura, K. Kuroda, X. D. Tan, and H. Horimai, Opt. Lett. 31, 1208 (2006).
[CrossRef] [PubMed]

M. Toishi, T. Tanaka, and K. Watanabe, Appl. Opt. 45, 6367 (2006).
[CrossRef] [PubMed]

S. R. Lambourdiere, A. Fukumoto, K. Tanaka, and K. Watanabe, Jpn. J. Appl. Phys. 45, 1246 (2006).
[CrossRef]

M. Toishi, “Holographic recording and reconstructing apparatus and holographic recording and reconstructing method,” U.S. patent application US 20060176532 A1 (August 10, 2006).

2005 (2)

2004 (2)

B. King, K. Anderson, and K. Curtis, “System and method for reflecture holographic storage with associated multiplexing techniques,” U.S. patent, US 6721076 B2 (April 13, 2004).

H. Horimai, Y. Sakane, and K. Kimura, “Optical information-recording medium, optical information-recording apparatus and optical information reproducing apparatus including optical information-recording medium and method for manufacturing polarization-changing layer,” U.S. patent application, US2004/0165518 A1 (August 26, 2004).

2003 (2)

H. Horimai, in Proceedings of 5th Pacific Rim Conference on Lasers and Electro-Optics (2003), Vol. 1, p. 376.

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

2001 (1)

1970 (1)

1963 (1)

Anderson, K.

B. King, K. Anderson, and K. Curtis, “System and method for reflecture holographic storage with associated multiplexing techniques,” U.S. patent, US 6721076 B2 (April 13, 2004).

Burckhardt, C. B.

Curtis, K.

B. King, K. Anderson, and K. Curtis, “System and method for reflecture holographic storage with associated multiplexing techniques,” U.S. patent, US 6721076 B2 (April 13, 2004).

Fujimura, R.

Fukumoto, A.

K. Tanaka, M. Hara, K. Tokuyama, K. Hirooka, K. Ishioka, A. Fukumoto, and K. Watanabe, Opt. Express 15, 16196 (2007).
[CrossRef] [PubMed]

S. R. Lambourdiere, A. Fukumoto, K. Tanaka, and K. Watanabe, Jpn. J. Appl. Phys. 45, 1246 (2006).
[CrossRef]

Hara, M.

Hirooka, K.

Horimai, H.

T. Shimura, S. Ichimura, R. Fujimura, K. Kuroda, X. D. Tan, and H. Horimai, Opt. Lett. 31, 1208 (2006).
[CrossRef] [PubMed]

H. Horimai, X. D. Tan, and J. Li, Appl. Opt. 44, 2575 (2005).
[CrossRef] [PubMed]

H. Horimai and X. Tan, Opt. Rev. 12, 90 (2005).
[CrossRef]

H. Horimai, Y. Sakane, and K. Kimura, “Optical information-recording medium, optical information-recording apparatus and optical information reproducing apparatus including optical information-recording medium and method for manufacturing polarization-changing layer,” U.S. patent application, US2004/0165518 A1 (August 26, 2004).

H. Horimai, in Proceedings of 5th Pacific Rim Conference on Lasers and Electro-Optics (2003), Vol. 1, p. 376.

Hsieh, S. C.

Ichimura, S.

Ishioka, K.

Kimura, K.

H. Horimai, Y. Sakane, and K. Kimura, “Optical information-recording medium, optical information-recording apparatus and optical information reproducing apparatus including optical information-recording medium and method for manufacturing polarization-changing layer,” U.S. patent application, US2004/0165518 A1 (August 26, 2004).

King, B.

B. King, K. Anderson, and K. Curtis, “System and method for reflecture holographic storage with associated multiplexing techniques,” U.S. patent, US 6721076 B2 (April 13, 2004).

Kuroda, K.

Lambourdiere, S. R.

S. R. Lambourdiere, A. Fukumoto, K. Tanaka, and K. Watanabe, Jpn. J. Appl. Phys. 45, 1246 (2006).
[CrossRef]

Li, J.

Sakane, Y.

H. Horimai, Y. Sakane, and K. Kimura, “Optical information-recording medium, optical information-recording apparatus and optical information reproducing apparatus including optical information-recording medium and method for manufacturing polarization-changing layer,” U.S. patent application, US2004/0165518 A1 (August 26, 2004).

Shimura, T.

Su, W. C.

Sun, C. C.

Tan, X.

H. Horimai and X. Tan, Opt. Rev. 12, 90 (2005).
[CrossRef]

Tan, X. D.

Tanaka, K.

K. Tanaka, M. Hara, K. Tokuyama, K. Hirooka, K. Ishioka, A. Fukumoto, and K. Watanabe, Opt. Express 15, 16196 (2007).
[CrossRef] [PubMed]

S. R. Lambourdiere, A. Fukumoto, K. Tanaka, and K. Watanabe, Jpn. J. Appl. Phys. 45, 1246 (2006).
[CrossRef]

Tanaka, T.

Teng, T. C.

Toishi, M.

M. Toishi, “Holographic recording and reconstructing apparatus and holographic recording and reconstructing method,” U.S. patent application US 20060176532 A1 (August 10, 2006).

M. Toishi, T. Tanaka, and K. Watanabe, Appl. Opt. 45, 6367 (2006).
[CrossRef] [PubMed]

Tokuyama, K.

Tsai, M. F.

van Heerden, P. J.

Watanabe, K.

Yu, Y. W.

Appl. Opt. (5)

Jpn. J. Appl. Phys. (1)

S. R. Lambourdiere, A. Fukumoto, K. Tanaka, and K. Watanabe, Jpn. J. Appl. Phys. 45, 1246 (2006).
[CrossRef]

Opt. Eng. (1)

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

Opt. Express (2)

Opt. Lett. (1)

Opt. Rev. (1)

H. Horimai and X. Tan, Opt. Rev. 12, 90 (2005).
[CrossRef]

Other (4)

H. Horimai, in Proceedings of 5th Pacific Rim Conference on Lasers and Electro-Optics (2003), Vol. 1, p. 376.

M. Toishi, “Holographic recording and reconstructing apparatus and holographic recording and reconstructing method,” U.S. patent application US 20060176532 A1 (August 10, 2006).

B. King, K. Anderson, and K. Curtis, “System and method for reflecture holographic storage with associated multiplexing techniques,” U.S. patent, US 6721076 B2 (April 13, 2004).

H. Horimai, Y. Sakane, and K. Kimura, “Optical information-recording medium, optical information-recording apparatus and optical information reproducing apparatus including optical information-recording medium and method for manufacturing polarization-changing layer,” U.S. patent application, US2004/0165518 A1 (August 26, 2004).

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Figures (5)

Fig. 1
Fig. 1

Effective optical model of collinear holographic system.

Fig. 2
Fig. 2

Comparison of the simulation result of the autocorrelation of the phase just behind the lens and at the focal point.

Fig. 3
Fig. 3

Three kinds of reference modulation patterns: (a) RL, (b) RBP, (c) LAP.

Fig. 4
Fig. 4

PSF for different reference patterns.

Fig. 5
Fig. 5

Simulating signal detected by the CCD for (a) RL amplitude modulation, (b) RBP modulation, and (C) LAP modulation.

Equations (6)

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A i ( u , v , Δ z ) = exp [ j k ( 2 f + Δ z ) ] j λ f I { U i ( x , y ) exp [ j π Δ z λ f 2 ( x 2 + y 2 ) ] } ,
D = A p ( | A R | 2 + | A S | 2 ) + A p A R * A S + A p A R A S * .
U ( u , v , Δ z ) = exp [ j k ( 2 f + Δ z ) ] j λ 3 f 3 | { I { U P ( x , y ) exp [ j π Δ z λ f 2 ( x 2 + y 2 ) ] } I * { U R ( x , y ) exp [ j π Δ z λ f 2 ( x 2 + y 2 ) ] } I { U S ( x , y ) exp [ j π Δ z λ f 2 ( x 2 + y 2 ) ] } } | x u λ f y v λ f .
U det ( ξ , η ) = exp ( j k 4 f ) ( λ f ) 2 T T exp [ j π Δ z λ f 2 ( ξ 2 + η 2 ) ] { { U P ( ξ , η ) exp [ j π Δ z λ f 2 ( ξ 2 + η 2 ) ] } { U R * ( ξ , η ) exp [ j π Δ z λ f 2 ( ξ 2 + η 2 ) ] } { U S ( ξ , η ) exp [ j π Δ z λ f 2 ( ξ 2 + η 2 ) ] } } d Δ z ,
PSF ( ξ , η ) = exp ( j k 4 f ) ( λ f ) 2 T T exp [ j π Δ z λ f 2 ( ξ 2 + η 2 ) ] ACOR { U R ( ξ , η ) exp [ j π Δ z λ f 2 ( ξ 2 + η 2 ) ] } d Δ z ,
s = N N t = N N exp ( j π ( x s w ) 2 + ( y t w ) 2 λ f L ) rect ( x s w w ) rect ( y t w w ) ,

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