Abstract

We report a simple approach for generating nondiffracting random intensity patterns that do not change with propagation. Experimental results are shown where the generating patterns are encoded onto a phase-only liquid-crystal display. We expect that these results will be useful for encryption or surveillance applications.

© 2007 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]

2002 (1)

1999 (1)

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

1998 (1)

1993 (1)

1992 (1)

G. Scott and N. McArdle, Opt. Eng. 31, 2640 (1992).
[CrossRef]

1991 (1)

1989 (1)

A. Vasara, J. Turunen, and A. T. Friberg, J. Opt. Soc. Am. A A6, 1748 (1989).
[CrossRef]

1988 (1)

1987 (2)

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).
[CrossRef]

Amako, J.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Bouchal, Z.

Cottrell, D. M.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

J. A. Davis, J. Guertin, and D. M. Cottrell, Appl. Opt. 32, 6368 (1993).
[CrossRef] [PubMed]

Davis, J. A.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

J. A. Davis, J. Guertin, and D. M. Cottrell, Appl. Opt. 32, 6368 (1993).
[CrossRef] [PubMed]

Durnin, J.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).
[CrossRef]

Eberly, J. H.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Friberg, A. T.

Guertin, J.

Kettunen, V.

McArdle, N.

G. Scott and N. McArdle, Opt. Eng. 31, 2640 (1992).
[CrossRef]

Miceli, J. J.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Scott, G.

G. Scott and N. McArdle, Opt. Eng. 31, 2640 (1992).
[CrossRef]

Sonehara, T.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Tsai, P.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Turunen, J.

Vasara, A.

Appl. Opt. (2)

J. Opt. Soc. Am. A (3)

Opt. Eng. (2)

G. Scott and N. McArdle, Opt. Eng. 31, 2640 (1992).
[CrossRef]

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. Lett. (1)

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Experimental approach for the generation of nondiffracting random patterns (from Ref. [7]). Lenses are represented by L 1 and L 2 . Plane P is the back focal plane for lens L 1 and the front focal plane for lens L 2 .

Fig. 2
Fig. 2

Generation of random intensity generating pattern. (a) Axicon pattern with ρ 0 = 8   pixels ; (b) magnitude of the Fourier transform of the axicon pattern consisting of a ring centered at 64   pixels with a width of 3   pixels ; (c) linear graph showing the magnitude of the ring pattern from (b); (d) random pattern; (e) magnified view of the ring pattern from (b) multiplied by the binary random pattern; (f) mask pattern applied to LCD showing the phase portion of the Fourier transform of (e).

Fig. 3
Fig. 3

Experimental intensity results for (a) Bessel function beam using pattern of Fig. 2a at distance of 1.6 m from LCD; random intensity pattern at distances of (b) 1.6, (c) 1.8, and (d) 2 m ; second random intensity pattern at distances of (e) 1.8 and (f) 2.0 m .

Equations (1)

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F ( x , y ) = s ( ς , η ) δ ( R ς 2 + η 2 ) e i ( x ς + y η ) d ς d η .

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