Abstract

Dark beams are wave fields carrying information in dark regions. We experimentally demonstrate dark beams that maintain a constant notch shape and size along a predetermined domain in free space. The energy is concentrated around the dark region with negligible sidelobes. These beams are generated with low-information-content phase-only diffractive elements in an on-axis configuration.

© 1996 Optical Society of America

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Corrections

Boris Spektor, Rafael Piestun, and Joseph Shamir, "Dark beams with a constant notch: erratum," Opt. Lett. 21, 911-911 (1996)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-21-12-911

References

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  1. J. F. Nye, M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
    [CrossRef]
  2. G. Indebetouw, J. Mod. Opt. 40, 73 (1993).
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  3. V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
    [CrossRef]
  4. I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
    [CrossRef]
  5. O. Bryngdahl, J. Opt. Soc. Am. A 63, 1098 (1973).
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  6. A. Varsara, J. Turunen, A. T. Friberg, J. Opt. Soc. Am. A 6, 150 (1989).
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  7. N. R. Heckenberg, R. McDuff, C. P. Smith, A. G. White, Opt. Lett. 17, 221 (1992).
    [CrossRef] [PubMed]
  8. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
    [CrossRef] [PubMed]
  9. J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).
    [CrossRef]
  10. J. Rosen, A. Yariv, Opt. Lett. 19, 843 (1994).
    [CrossRef] [PubMed]
  11. R. Piestun, J. Shamir, Opt. Lett. 19, 771 (1994).
    [CrossRef] [PubMed]
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    [CrossRef]
  13. B. I. Spektor, Avtometriia 6, 34 (1985). [Instrum. Data Process. 6, 35 (1985)].

1995 (1)

R. Piestun, B. Spektor, J. Shamir, Proc. SPIE 2404, 320 (1995).
[CrossRef]

1994 (2)

1993 (2)

G. Indebetouw, J. Mod. Opt. 40, 73 (1993).
[CrossRef]

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

1992 (3)

V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

N. R. Heckenberg, R. McDuff, C. P. Smith, A. G. White, Opt. Lett. 17, 221 (1992).
[CrossRef] [PubMed]

1989 (1)

1987 (1)

1985 (1)

B. I. Spektor, Avtometriia 6, 34 (1985). [Instrum. Data Process. 6, 35 (1985)].

1974 (1)

J. F. Nye, M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[CrossRef]

1973 (1)

O. Bryngdahl, J. Opt. Soc. Am. A 63, 1098 (1973).
[CrossRef]

Allen, L.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Basistiy, I. V.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Bazhenov, V. Yu.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Berry, M. V.

J. F. Nye, M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[CrossRef]

Bryngdahl, O.

O. Bryngdahl, J. Opt. Soc. Am. A 63, 1098 (1973).
[CrossRef]

Durnin, J.

Friberg, A. T.

Heckenberg, N. R.

Indebetouw, G.

G. Indebetouw, J. Mod. Opt. 40, 73 (1993).
[CrossRef]

McDuff, R.

Nye, J. F.

J. F. Nye, M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[CrossRef]

Piestun, R.

R. Piestun, B. Spektor, J. Shamir, Proc. SPIE 2404, 320 (1995).
[CrossRef]

R. Piestun, J. Shamir, Opt. Lett. 19, 771 (1994).
[CrossRef] [PubMed]

Rosen, J.

Shamir, J.

R. Piestun, B. Spektor, J. Shamir, Proc. SPIE 2404, 320 (1995).
[CrossRef]

R. Piestun, J. Shamir, Opt. Lett. 19, 771 (1994).
[CrossRef] [PubMed]

Smith, C. P.

Soskin, M. S.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

Spektor, B.

R. Piestun, B. Spektor, J. Shamir, Proc. SPIE 2404, 320 (1995).
[CrossRef]

Spektor, B. I.

B. I. Spektor, Avtometriia 6, 34 (1985). [Instrum. Data Process. 6, 35 (1985)].

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Turunen, J.

Varsara, A.

Vasnetsov, M. V.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

White, A. G.

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Yariv, A.

Avtometriia (1)

B. I. Spektor, Avtometriia 6, 34 (1985). [Instrum. Data Process. 6, 35 (1985)].

J. Mod. Opt. (2)

G. Indebetouw, J. Mod. Opt. 40, 73 (1993).
[CrossRef]

V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

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

Opt. Commun. (1)

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (1)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Proc. R. Soc. London Ser. A (1)

J. F. Nye, M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[CrossRef]

Proc. SPIE (1)

R. Piestun, B. Spektor, J. Shamir, Proc. SPIE 2404, 320 (1995).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Comparison between dark-region widening in (a) conventional doughnut-shaped mode and (b) synthesized nonexpanding dark beam with the same initial notch shape (z = 0, 3.8, 7.6, 11.4, 15.2 cm).

Fig. 2
Fig. 2

Transverse distributions at distances corresponding to Fig. 1: (a) simulated intensity, (b) simulated phase, (c) experimental intensity.

Fig. 3
Fig. 3

(a) Comparison between a nonexpanding dark-beam intensity profile in the worst case (z = 0), dotted–dashed curve, and a Bessel J1 beam profile with the same notch shape, solid curve. (b) Phase-only mask that generates the nonexpanding dark beam.

Equations (3)

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C d = 1 I 0 2 I x 2 | x = x 0 ,
s = 1 I 0 I x | x = x 1 ,
E ( 0 , 0 , z ) = 0 ,             E ( ± Δ x , ± Δ y , z ) = E 0 ,             z [ 0 , 15 cm ] ,

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