Abstract

A Barker binary phase code of maximum length 13 has previously been used for speckle reduction in line-scan laser projectors, and a speckle contrast factor decrease down to 13% has been achieved. In this Letter, Barker-like binary phase codes of lengths longer than 13 are used at an intermediate image plane. It is shown by theoretical calculation that a much better speckle reduction with a speckle contrast factor up to 6% can be achieved by using longer binary phase codes other than the Barker code.

© 2010 Optical Society of America

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References

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  9. S. An, A. Lapchuk, V. Yurlov, J. Song, H. Park, J. Jang, W. Shin, S. Karagpoltsev, and S. Yun, Opt. Express 17, 92 (2009).
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  14. V. Yurlov, S. Yun, J. Song, I. Yeo, H. Yang, S. An, and A. Lapchuk, U.S. patent application 20090141339(A1) (June 4, 2009).

2009 (2)

2008 (1)

2004 (2)

J. I. Trisnadi, Opt. Lett. 29, 11 (2004).
[CrossRef] [PubMed]

K. Kasazumi, Y. Kitaoka, K. Mizuuchi, and K. Yamamoto, Jpn. J. Appl. Phys. 43, 5904 (2004).
[CrossRef]

2002 (1)

J. I. Trisnadi, Proc. SPIE 4653, 131 (2002).
[CrossRef]

2000 (1)

L. Wang, T. Tschudi, M. Boeddinghaus, A. Elbert, T. Halldorsson, and P. R. Petursson, Opt. Eng. 39, 1659 (2000).
[CrossRef]

1998 (1)

1973 (1)

1971 (1)

An, S.

Boeddinghaus, M.

L. Wang, T. Tschudi, M. Boeddinghaus, A. Elbert, T. Halldorsson, and P. R. Petursson, Opt. Eng. 39, 1659 (2000).
[CrossRef]

Elbert, A.

L. Wang, T. Tschudi, M. Boeddinghaus, A. Elbert, T. Halldorsson, and P. R. Petursson, Opt. Eng. 39, 1659 (2000).
[CrossRef]

George, N.

Goodman, J. W.

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts and Company Publishers, 2006).

Halldorsson, T.

L. Wang, T. Tschudi, M. Boeddinghaus, A. Elbert, T. Halldorsson, and P. R. Petursson, Opt. Eng. 39, 1659 (2000).
[CrossRef]

L. Wang, T. Tschudi, T. Halldorsson, and P. R. Petursson, Appl. Opt. 37, 1770 (1998).
[CrossRef]

Jain, A.

Jang, J.

Joyeux, D.

Karagpoltsev, S.

Kasazumi, K.

K. Kasazumi, Y. Kitaoka, K. Mizuuchi, and K. Yamamoto, Jpn. J. Appl. Phys. 43, 5904 (2004).
[CrossRef]

Kitaoka, Y.

K. Kasazumi, Y. Kitaoka, K. Mizuuchi, and K. Yamamoto, Jpn. J. Appl. Phys. 43, 5904 (2004).
[CrossRef]

Lapchuk, A.

Levanon, N.

N. Levanon and E. Mozeson, Radar Signals (Wiley, 2004).
[CrossRef]

Lowenthal, S.

Mizuuchi, K.

K. Kasazumi, Y. Kitaoka, K. Mizuuchi, and K. Yamamoto, Jpn. J. Appl. Phys. 43, 5904 (2004).
[CrossRef]

Mozeson, E.

N. Levanon and E. Mozeson, Radar Signals (Wiley, 2004).
[CrossRef]

Park, H.

Petursson, P. R.

L. Wang, T. Tschudi, M. Boeddinghaus, A. Elbert, T. Halldorsson, and P. R. Petursson, Opt. Eng. 39, 1659 (2000).
[CrossRef]

L. Wang, T. Tschudi, T. Halldorsson, and P. R. Petursson, Appl. Opt. 37, 1770 (1998).
[CrossRef]

Shin, W.

Song, J.

Trisnadi, J. I.

J. I. Trisnadi, Opt. Lett. 29, 11 (2004).
[CrossRef] [PubMed]

J. I. Trisnadi, Proc. SPIE 4653, 131 (2002).
[CrossRef]

J. I. Trisnadi, U.S. patent 6747781-B2 (June 8, 2004).

Tschudi, T.

L. Wang, T. Tschudi, M. Boeddinghaus, A. Elbert, T. Halldorsson, and P. R. Petursson, Opt. Eng. 39, 1659 (2000).
[CrossRef]

L. Wang, T. Tschudi, T. Halldorsson, and P. R. Petursson, Appl. Opt. 37, 1770 (1998).
[CrossRef]

Wang, L.

L. Wang, T. Tschudi, M. Boeddinghaus, A. Elbert, T. Halldorsson, and P. R. Petursson, Opt. Eng. 39, 1659 (2000).
[CrossRef]

L. Wang, T. Tschudi, T. Halldorsson, and P. R. Petursson, Appl. Opt. 37, 1770 (1998).
[CrossRef]

Yamamoto, K.

K. Kasazumi, Y. Kitaoka, K. Mizuuchi, and K. Yamamoto, Jpn. J. Appl. Phys. 43, 5904 (2004).
[CrossRef]

Yang, H.

Yeo, I.

V. Yurlov, A. Lapchuk, S. Yun, J. Song, I. Yeo, H. Yang, and S. An, Appl. Opt. 48, 80 (2009).
[CrossRef]

V. Yurlov, S. Yun, J. Song, I. Yeo, H. Yang, S. An, and A. Lapchuk, U.S. patent application 20090141339(A1) (June 4, 2009).

Yun, S.

Yurlov, V.

Appl. Opt. (4)

J. Opt. Soc. Am. (1)

Jpn. J. Appl. Phys. (1)

K. Kasazumi, Y. Kitaoka, K. Mizuuchi, and K. Yamamoto, Jpn. J. Appl. Phys. 43, 5904 (2004).
[CrossRef]

Opt. Eng. (1)

L. Wang, T. Tschudi, M. Boeddinghaus, A. Elbert, T. Halldorsson, and P. R. Petursson, Opt. Eng. 39, 1659 (2000).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Proc. SPIE (1)

J. I. Trisnadi, Proc. SPIE 4653, 131 (2002).
[CrossRef]

Other (4)

J. I. Trisnadi, U.S. patent 6747781-B2 (June 8, 2004).

N. Levanon and E. Mozeson, Radar Signals (Wiley, 2004).
[CrossRef]

V. Yurlov, S. Yun, J. Song, I. Yeo, H. Yang, S. An, and A. Lapchuk, U.S. patent application 20090141339(A1) (June 4, 2009).

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts and Company Publishers, 2006).

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Figures (2)

Fig. 1
Fig. 1

Schematic diagram of a laser line-scan projector.

Fig. 2
Fig. 2

Light complex-amplitude autocorrelation function A ( x ) and function Q ( z ) for different codes.

Tables (1)

Tables Icon

Table 1 Speckle Contrast Factor for Different Binary Phase Codes

Equations (8)

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

C = σ I I = I 2 I 2 I ,
C = 2 | A ( D z ) A ( 0 ) | 2 Q ( z ) d z ,
Q ( z ) = ( 1 sinc ( 4 π z ) 8 π 2 z 2 ) .
A ( x 1 x 2 ) = 1 T v 0.5 T v 0.5 T v H ( x 1 x 2 + x ) H * ( x ) d x ,
Barker 13 code = [ 11111 1 111 11 11 ]
MPS 28 code = [ 1111 1 1 1 1111 1111 1111 111 11 1 11 1 ]
MPS 51 code = [ 111 1 1 1111 1 1 1 1 1 1 1111 1111 1 111 1111 111 11 11 111 111 111 11 1 1 ]
MPS 69 code = [ 111 111 1 11 1 1 1 1 1 11 1 11 1 11111 111 1 11 11 111111 1 1 11 11111 1111 1 1111 1 1 11111 11 11 1 ] .

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