Abstract

We present a method for the generation of an axial phase dislocation on a wave front, which is induced by topological properties of polarized light. This effect is shown to be useful for conversion of bright nondiffracting beams into dark nondiffracting beams. Experiments showing the generation of dark nondiffracting beams have been performed.

© 2000 Optical Society of America

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References

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  1. J. V. Basisty, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  7. C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
    [CrossRef]
  8. J. Durnin, J. J. Miceli, and J. H. Everly, Phys. Rev. Lett. 58, 1499 (1987).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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  17. J. A. Davis, E. Carcole, and D. M. Cottrell, Appl. Opt. 35, 559 (1996).
  18. S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).

1998 (2)

1997 (1)

1996 (4)

J. A. Davis, E. Carcole, and D. M. Cottrell, Appl. Opt. 35, 2159 (1996).
[CrossRef] [PubMed]

J. A. Davis, E. Carcole, and D. M. Cottrell, Appl. Opt. 35, 559 (1996).

J. A. Davis, E. Carcole, and D. M. Cottrell, Appl. Opt. 35, 593 (1996).
[CrossRef] [PubMed]

C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
[CrossRef]

1995 (2)

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

J. V. Basisty, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

1994 (1)

1992 (2)

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

A. J. Cox and D. C. Dibble, J. Opt. Soc. Am. A 9, 282 (1992).
[CrossRef]

1989 (2)

1988 (1)

1987 (2)

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

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

1956 (1)

S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).

Aruga, T.

Basisty, J. V.

J. V. Basisty, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

Bazhenov, V. Yu.

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

Carcole, E.

Chávez-Cerda, S.

Cottrell, D. M.

Cox, A. J.

Crosignani, V.

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

Davis, J. A.

Di Porto, P.

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

Dibble, D. C.

Duree, G.

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

Durnin, J.

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

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

Everly, J. H.

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

Friberg, A. T.

Hickmann, J. Miguel

Indebetouw, G.

Kettunen, V.

Meneses-Nava, M. A.

Miceli, J. J.

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

Morin, M.

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

Pancharatnam, S.

S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).

Paterson, C.

C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
[CrossRef]

Piestun, R.

Salamo, G.

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

Segev, M.

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

Shamir, J.

Sharp, E.

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

Smith, R.

C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
[CrossRef]

Soskin, M. S.

J. V. Basisty, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

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

Turunen, J.

Vasara, A.

Vasnetsov, M. V.

J. V. Basisty, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

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

Yariv, A.

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

Appl. Opt. (5)

J. Mod. Opt. (1)

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

J. Opt. Soc. Am. A (4)

Opt. Commun. (2)

C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
[CrossRef]

J. V. Basisty, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 119, 604 (1995).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. Lett. (2)

G. Duree, M. Morin, G. Salamo, M. Segev, V. Crosignani, P. Di Porto, E. Sharp, and A. Yariv, Phys. Rev. Lett. 74, 1978 (1995).
[CrossRef] [PubMed]

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

Proc. Indian Acad. Sci. A (1)

S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).

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Figures (5)

Fig. 1
Fig. 1

Setup for the generation of phase dislocations. Q1 and Q2, rectangular λ/4-wave plates with their respective fast axes (F.A.) orthogonal to each other; P1, polarizer at 45° with respect to the axes of the λ/4-wave plates; P2, rotatable polarizer (analyzer); ϑ, the angle between the directions of the transmissions axes of P1 and P2.

Fig. 2
Fig. 2

Evolution of the states of polarization of light on the Poincaré sphere for the light passing through the setup shown in Fig. 1. F1 and F2, directions of the fast axes of wave plates Q1 and Q2, respectively. A, initial linear polarized state of the light after polarizer P1; L and R, left and right circular polarized states after Q1 and Q2; B, final state of polarization of the light after P2. The area Ω of the lune ALBRA on the unit sphere is equal to 4ϑ.

Fig. 3
Fig. 3

Experimental setup for conversion of bright into dark nondiffracting beams. PL, polarized He–Ne laser; SF, spatial filter, Q0, λ/2-wave plate used to adjust the polarization of light at 45° with respect to the fast axes of the λ/4-wave plates Q1 and Q2; L1, collimating lens; P2, rotatable polarizer; S, screen with an annular aperture placed in the focal plane of lens L2, C, CCD camera.

Fig. 4
Fig. 4

Cross sections of the “bright” beam obtained for polarizers P1 and P2 with their axes parallel at (a) z=30 mm, (b) 100 mm, and (c) 170 mm. The width of the bright spot is 0.1 mm. Also shown are the intensity distributions across the “dark” beam obtained for the polarizers axes perpendicular to each other at (d) z=30 mm, (e) 100 mm, and (f) 170 mm. Comparison of Figs. 4(a) with 4(d), 4(b) with 4(e), and 4(c) with 4(f) shows the conversion of the bright into a dark region at the center of the image that occurs when polarizer P2 is rotated by an angle of π/2 rad.

Fig. 5
Fig. 5

Evolution of the central nonspreading dark region (0.1mm diameter) of the wave propagating along the z axis at 30, 65, 100, and 135 mm from lens L2.

Equations (4)

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

Er,θ,z=expiβzn=-anJnk2-β2 rexpinθ,
E0r,θ,z=expiβzJ0k2-β2 r
Edr,θ,z=2Hcos θ-1δr-d/2r expikz,
Er,θ,z=expiβzn=1-in4 sin nπ/2nπ×Jnk2-β2 rcosnθ,

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