Abstract

Laser beams that contain phase singularities can be generated with computer-generated holograms, which in the simplest case have the form of spiral Fresnel zone plates.

© 1992 Optical Society of America

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References

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  1. L. A. Lugiato, C. Oldano, L. M. Narducci, J. Opt. Soc. Am. B 5, 879 (1989).
    [CrossRef]
  2. M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
    [CrossRef] [PubMed]
  3. Chr. Tamm, C. O. Weiss, J. Opt. Soc. Am. B 7, 1034 (1990).
    [CrossRef]
  4. A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
    [CrossRef]
  5. N. B. Baranova, B. Ya Zel’dovich, A. V. Mamaev, N. F. Pilipetskil, V. V. Shkukov, Sov. Phys. JETP 33, 195 (1981).
  6. J. M. Vaughan, D. V Willets, J. Opt. Soc. Am. 73, 1018 (1983).
    [CrossRef]

1991

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
[CrossRef] [PubMed]

A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
[CrossRef]

1990

1989

1983

1981

N. B. Baranova, B. Ya Zel’dovich, A. V. Mamaev, N. F. Pilipetskil, V. V. Shkukov, Sov. Phys. JETP 33, 195 (1981).

Baranova, N. B.

N. B. Baranova, B. Ya Zel’dovich, A. V. Mamaev, N. F. Pilipetskil, V. V. Shkukov, Sov. Phys. JETP 33, 195 (1981).

Battipede, F.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
[CrossRef] [PubMed]

Brambilla, M.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
[CrossRef] [PubMed]

Heckenberg, N. R.

A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
[CrossRef]

Lugiato, L. A.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
[CrossRef] [PubMed]

L. A. Lugiato, C. Oldano, L. M. Narducci, J. Opt. Soc. Am. B 5, 879 (1989).
[CrossRef]

Mamaev, A. V.

N. B. Baranova, B. Ya Zel’dovich, A. V. Mamaev, N. F. Pilipetskil, V. V. Shkukov, Sov. Phys. JETP 33, 195 (1981).

McDuff, R.

A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
[CrossRef]

Narducci, L. M.

Oldano, C.

Penna, V.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
[CrossRef] [PubMed]

Pilipetskil, N. F.

N. B. Baranova, B. Ya Zel’dovich, A. V. Mamaev, N. F. Pilipetskil, V. V. Shkukov, Sov. Phys. JETP 33, 195 (1981).

Prati, F.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
[CrossRef] [PubMed]

Rubinsztein-Dunlop, H.

A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
[CrossRef]

Shkukov, V. V.

N. B. Baranova, B. Ya Zel’dovich, A. V. Mamaev, N. F. Pilipetskil, V. V. Shkukov, Sov. Phys. JETP 33, 195 (1981).

Smith, C. P.

A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
[CrossRef]

Tamm, Chr.

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
[CrossRef] [PubMed]

A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
[CrossRef]

Chr. Tamm, C. O. Weiss, J. Opt. Soc. Am. B 7, 1034 (1990).
[CrossRef]

Vaughan, J. M.

Weiss, C. O.

A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
[CrossRef]

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
[CrossRef] [PubMed]

Chr. Tamm, C. O. Weiss, J. Opt. Soc. Am. B 7, 1034 (1990).
[CrossRef]

White, A. G.

A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
[CrossRef]

Willets, D. V

Zel’dovich, B. Ya

N. B. Baranova, B. Ya Zel’dovich, A. V. Mamaev, N. F. Pilipetskil, V. V. Shkukov, Sov. Phys. JETP 33, 195 (1981).

J. Mod. Opt.

A. G. White, C. P. Smith, N. R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C. O. Weiss, Chr. Tamm, J. Mod. Opt. 38, 2531 (1991).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. B

Phys. Rev. A

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, Chr. Tamm, C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
[CrossRef] [PubMed]

Sov. Phys. JETP

N. B. Baranova, B. Ya Zel’dovich, A. V. Mamaev, N. F. Pilipetskil, V. V. Shkukov, Sov. Phys. JETP 33, 195 (1981).

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Figures (5)

Fig. 1
Fig. 1

Computer-generated zone plates, (a) Charge 1. (b) Charge 2.

Fig. 2
Fig. 2

Theoretical interference pattern produced by interfering a Gaussian Hermite TEM01* hybrid mode containing a singly charged singularity with a slightly inclined plane wave. The signature of a phase singularity is the defect in the fringe structure where an interference fringe starts at the location of the singularity.

Fig. 3
Fig. 3

CCD camera photograph of a typical reconstruction of a Gaussian Hermite TEM01* hybrid mode (or doughnut mode) by He–Ne laser illumination of the zone plate represented by Fig. 1(a).

Fig. 4
Fig. 4

(a) CCD picture of interference fringes obtained by interfering two doughnut beams in the Mach–Zehnder interferometer setup. By comparison with Fig. 2, we see directly the occurrence of the phase singularities of each beam, (b) Theoretical interference pattern produced by interfering two misaligned and misdirected doughnut modes. Again we see the two signatures of the phase singularities and the similarity to (a).

Fig. 5
Fig. 5

Optical leopard produced by a hologram designed to reconstruct a Gaussian Hermite TEM20* hybrid mode.

Equations (3)

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± θ = ( n + 1 / 2 ) π + k r 2 2 R
p θ = ( n + 1 / 2 ) π + k r 2 2 R
p θ = ( n + 1 / 2 ) π + k r 2 2 R + k r sin γ cos θ

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