Abstract

An optical correlator that utilizes one phase-only spatial light modulator (SLM) combined with a mirror is proposed and demonstrated. This system is compressed by displaying the input and filter pattern on different parts of the same SLM. The background noise is separated from the correlation signal by superimposing a high-frequency carrier with the filter pattern except in the zero-frequency regions, which will improve the signal-to-noise ratio in pattern recognition. Our architecture is compact and the cost is relatively low by utilizing only one SLM.

© 2011 Optical Society of America

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References

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2009 (1)

2002 (1)

S. Sinzinger, Opt. Commun. 209, 69 (2002).
[CrossRef]

2000 (1)

1993 (1)

1990 (1)

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, and N. Ooyama, J. Mod. Opt. 37, 1849 (1990).
[CrossRef]

1985 (1)

1984 (2)

1975 (1)

T. Huang, J. Burnett, and A. Deczky, IEEE Trans. Acoust. Speech Signal Process. 23, 529 (1975).
[CrossRef]

1964 (1)

A. B. Vander Lugt, IEEE Trans. Inf. Theory 10, 139 (1964).
[CrossRef]

Athale, R. A.

Babbitt, W. R.

Barnes, T. H.

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, and N. Ooyama, J. Mod. Opt. 37, 1849 (1990).
[CrossRef]

Burnett, J.

T. Huang, J. Burnett, and A. Deczky, IEEE Trans. Acoust. Speech Signal Process. 23, 529 (1975).
[CrossRef]

Cone, R. L.

Deczky, A.

T. Huang, J. Burnett, and A. Deczky, IEEE Trans. Acoust. Speech Signal Process. 23, 529 (1975).
[CrossRef]

Eiju, T.

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, and N. Ooyama, J. Mod. Opt. 37, 1849 (1990).
[CrossRef]

Equall, R. W.

Farhat, N.

Fukuchi, N.

Gianino, P. D.

Hara, T.

Harris, T. L.

Horner, J. L.

Huang, T.

T. Huang, J. Burnett, and A. Deczky, IEEE Trans. Acoust. Speech Signal Process. 23, 529 (1975).
[CrossRef]

Inoue, T.

Lu, X. J.

F. T. S. Yu, and X. J. Lu, Opt. Commun. 52, 10 (1984).
[CrossRef]

Mait, J. N.

Matsuda, K.

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, and N. Ooyama, J. Mod. Opt. 37, 1849 (1990).
[CrossRef]

Matsumoto, K.

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, and N. Ooyama, J. Mod. Opt. 37, 1849 (1990).
[CrossRef]

Ooyama, N.

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, and N. Ooyama, J. Mod. Opt. 37, 1849 (1990).
[CrossRef]

Prather, D. W.

Psaltis, D.

Raj, K.

Ritcey, J. A.

Sinzinger, S.

S. Sinzinger, Opt. Commun. 209, 69 (2002).
[CrossRef]

Sun, Y.

Toyoda, H.

Vander Lugt, A. B.

A. B. Vander Lugt, IEEE Trans. Inf. Theory 10, 139 (1964).
[CrossRef]

Yu, F. T. S.

F. T. S. Yu, and X. J. Lu, Opt. Commun. 52, 10 (1984).
[CrossRef]

Appl. Opt. (2)

Chin. Opt. Lett. (1)

IEEE Trans. Acoust. Speech Signal Process. (1)

T. Huang, J. Burnett, and A. Deczky, IEEE Trans. Acoust. Speech Signal Process. 23, 529 (1975).
[CrossRef]

IEEE Trans. Inf. Theory (1)

A. B. Vander Lugt, IEEE Trans. Inf. Theory 10, 139 (1964).
[CrossRef]

J. Mod. Opt. (1)

T. H. Barnes, K. Matsumoto, T. Eiju, K. Matsuda, and N. Ooyama, J. Mod. Opt. 37, 1849 (1990).
[CrossRef]

Opt. Commun. (2)

F. T. S. Yu, and X. J. Lu, Opt. Commun. 52, 10 (1984).
[CrossRef]

S. Sinzinger, Opt. Commun. 209, 69 (2002).
[CrossRef]

Opt. Lett. (2)

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Figures (6)

Fig. 1
Fig. 1

Schematic diagram of the MF combined with one SLM and a mirror. Samples of the input and filter patterns displayed on the SLM are magnified at the right. The input and filter patterns are written onto the green and blue parts of the SLM, respectively.

Fig. 2
Fig. 2

(a) Example of an FLP and (b) the corresponding phase profile along a definite cross section indicated by the red line in (a), where the abscissa presents the distance from the left end of the red line and the ordinate presents the phase value of the pixels along the red line.

Fig. 3
Fig. 3

Principle of the method to deduce the minimum focal length of the FLP. O is the center of the FLP.

Fig. 4
Fig. 4

Examples of (a) a filter pattern without adding (b) a phase grating and (c) a filter pattern after adding a phase grating.

Fig. 5
Fig. 5

Input and reference images adopted for pattern recognition. (a) Input image including six Chinese characters with gray level equal to 127. Three of them are identical to the reference character. (b) Reference image, one Chinese character with gray level equal to 127.

Fig. 6
Fig. 6

Correlation signals between the input image and the reference image in Fig. 5 under the conditions of (a) before adding a grating, as at Fig. 4b, (b) after adding a grating, as at Fig. 4b, and (c) background noise separated during this process.

Equations (5)

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θ = arctan ( d / w ) ,
d = ( f / 2 ) 2 w 2 ,
φ ( r ) = 2 π r 2 / ( 2 λ f ) ,
φ ( r m ) φ ( r m 1 ) = 2 π r m 2 / ( 2 λ f ) 2 π r m 1 2 / ( 2 λ f ) = 2 π ,
f min = ( r m 2 r m 1 2 ) / ( 2 λ ) ,

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