Abstract

We implement a novel experimental technique for generating mono- and polychromatic optical beams with on-axis single vortex by manipulating polarization singularities of light in birefringent crystals. We demonstrate that, in contrast to the well-known optical quadrupoles generated by beams propagating along the optical axis of a uniaxial crystal, the beam bearing isolated single-charge on-axis vortex can be generated if the incident beam is tilted with respect to the optical axis at a certain angle.

© 2006 Optical Society of America

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  1. J.F. Nye and M.V. Berry, "Dislocations in wave trains," Proc. R. Soc. London A 336, 165-190 (1974).
  2. M. S. Soskin and M. V. Vasnetsov, "Singular optics," in Progress in Optics, Vol. 42, Ed. E. Wolf (North-Holand, Amstredam, 2001), p.p. 219-276.
  3. Optical Vortices, Eds. M. Vasnetsov and K. Staliunas, Vol. 228 of Horizons in World Physics (Nova Science, Huntington, N.Y., 1999).
  4. See an extensive list of references on optical vortices in G. A. Swartzlander, Jr., Singular Optics/Optical Vortex References, http://www.u.arizona.edu/~grovers/SO/so.html.
  5. V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, "Laser beams with screw dislocations in their wavefonts," JETP Lett. 52, 429-431 (1990).
  6. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, "Generation of optical phase singularities by computer-generated holograms," Opt. Lett. 17, 221-223 (1992).
  7. A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, "Optical vortices and vortex solitons," in Progress in Optics, Vol. 47, Ed. E. Wolf (North-Holand, Amstredam, 2005), p.p. 291-391.
  8. See, e.g., J. Leach and M. J. Padgett, "Observation of chromatic effects near a white-light vortex," New J. Phys. 5, 154.1-154.7 (2003), and references therein.
  9. I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, "Optics of light beams with screw dislocations," Opt. Commun. 103, 422-428 (1993).
    [CrossRef]
  10. M. V. Berry andM. R. Dennis, "The optical singularrities of birefringent dichroic crystals," Proc. R. Soc. London A 459, 1261-1292 (2003).
  11. M. V. Berry "Conical diffraction asymptotics: fine structure of Poggendorff rings and axial spike," J. Opt. A 6, 289-300 (2004).
  12. M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," Pure Appl. Opt. 7, 301-311 (1998).
    [CrossRef]
  13. J. F. Nye, Natural Focusing and Fine Structure of Light, IOP Publishing (Bristol and Philadelphia, 1999), p. 327.
  14. A. V. Volyar and T. A. Fadeyeva, "Generation of singular beams in uniaxial crystals," Opt. Spectrosc. 94, 235-244 (2003).
    [CrossRef]
  15. F. Flossmann, U.T. Schwarz, M. Maier, and M.R. Dennis, "Polarization singularities from unfolding an optical vortex through a birefringent crystal," Phys. Rev. Lett. 95, 253901 (2005).
    [CrossRef]
  16. V. Shvedov, W. Krolikowski, A. Volyar, D. N. Neshev, A. S. Desyatnikov and Yu. S. Kivshar, "Focusing and coherence properties of white-light optical vortices," Opt. Express 13, 7393-7398 (2005).
    [CrossRef]
  17. N. N. Rosanov, "Propagation of laser radiation in anisotropic media," Opt. Spectrosc. 93, 746-741 (2002).
  18. A. V. Volyar and T. A. Fadeyeva, "Laguerre-Gaussian beams in uniaxial crystals," Ukr. J. Phys. Opt. 5, 81-86 (2004).
    [CrossRef]
  19. O. Angelsky, A. Mokhun, I. Mokhun, and M. Soskin, "The relationship between topological characteristics of component vortices and polarization singularities," Opt. Commun. 207, 57-65 (2002).
    [CrossRef]
  20. M. R. Dennis, "Polarization singularities in paraxial vector fields: morphology and statistics," Opt. Commun. 213, 201-221 (2002).
    [CrossRef]
  21. Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, "Fine structure of singular beams in crystals: colours and polarization," J. Opt. A 6, S217-S228 (2004).
  22. A. V. Volyar and T. A. Fadeyeva, "Dynamics of topological multiples: 2. Birth, annihilation and evolution of nonparaxial optical vortices," Opt. Spectrosc. 92, 253-262 (2002).
    [CrossRef]
  23. O. V. Angelsky, I. I. Mokhun, and M. S. Soskin, "Interferometric methods in diagnostics of polarization singularities,"Phys. Rev. E 65, 036602 (2002).
    [CrossRef]
  24. M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, "Computer-synthesized hologram-based rainbow vortices," New J. Phys. 6, 196 (2004).
    [CrossRef]
  25. M. Berry, "Coloured phase singularities," New J. Phys. 4, 66 (2002).
    [CrossRef]

2005

F. Flossmann, U.T. Schwarz, M. Maier, and M.R. Dennis, "Polarization singularities from unfolding an optical vortex through a birefringent crystal," Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

V. Shvedov, W. Krolikowski, A. Volyar, D. N. Neshev, A. S. Desyatnikov and Yu. S. Kivshar, "Focusing and coherence properties of white-light optical vortices," Opt. Express 13, 7393-7398 (2005).
[CrossRef]

2004

M. V. Berry "Conical diffraction asymptotics: fine structure of Poggendorff rings and axial spike," J. Opt. A 6, 289-300 (2004).

A. V. Volyar and T. A. Fadeyeva, "Laguerre-Gaussian beams in uniaxial crystals," Ukr. J. Phys. Opt. 5, 81-86 (2004).
[CrossRef]

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, "Fine structure of singular beams in crystals: colours and polarization," J. Opt. A 6, S217-S228 (2004).

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, "Computer-synthesized hologram-based rainbow vortices," New J. Phys. 6, 196 (2004).
[CrossRef]

2003

M. V. Berry andM. R. Dennis, "The optical singularrities of birefringent dichroic crystals," Proc. R. Soc. London A 459, 1261-1292 (2003).

A. V. Volyar and T. A. Fadeyeva, "Generation of singular beams in uniaxial crystals," Opt. Spectrosc. 94, 235-244 (2003).
[CrossRef]

2002

N. N. Rosanov, "Propagation of laser radiation in anisotropic media," Opt. Spectrosc. 93, 746-741 (2002).

M. Berry, "Coloured phase singularities," New J. Phys. 4, 66 (2002).
[CrossRef]

A. V. Volyar and T. A. Fadeyeva, "Dynamics of topological multiples: 2. Birth, annihilation and evolution of nonparaxial optical vortices," Opt. Spectrosc. 92, 253-262 (2002).
[CrossRef]

O. V. Angelsky, I. I. Mokhun, and M. S. Soskin, "Interferometric methods in diagnostics of polarization singularities,"Phys. Rev. E 65, 036602 (2002).
[CrossRef]

O. Angelsky, A. Mokhun, I. Mokhun, and M. Soskin, "The relationship between topological characteristics of component vortices and polarization singularities," Opt. Commun. 207, 57-65 (2002).
[CrossRef]

M. R. Dennis, "Polarization singularities in paraxial vector fields: morphology and statistics," Opt. Commun. 213, 201-221 (2002).
[CrossRef]

1998

M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," Pure Appl. Opt. 7, 301-311 (1998).
[CrossRef]

1993

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, "Optics of light beams with screw dislocations," Opt. Commun. 103, 422-428 (1993).
[CrossRef]

1992

1990

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, "Laser beams with screw dislocations in their wavefonts," JETP Lett. 52, 429-431 (1990).

1974

J.F. Nye and M.V. Berry, "Dislocations in wave trains," Proc. R. Soc. London A 336, 165-190 (1974).

Angelsky, O.

O. Angelsky, A. Mokhun, I. Mokhun, and M. Soskin, "The relationship between topological characteristics of component vortices and polarization singularities," Opt. Commun. 207, 57-65 (2002).
[CrossRef]

Angelsky, O. V.

O. V. Angelsky, I. I. Mokhun, and M. S. Soskin, "Interferometric methods in diagnostics of polarization singularities,"Phys. Rev. E 65, 036602 (2002).
[CrossRef]

Arkheluyk, O. O.

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, "Computer-synthesized hologram-based rainbow vortices," New J. Phys. 6, 196 (2004).
[CrossRef]

Basistiy, I. V.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, "Optics of light beams with screw dislocations," Opt. Commun. 103, 422-428 (1993).
[CrossRef]

Bazhenov, V. Yu.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, "Optics of light beams with screw dislocations," Opt. Commun. 103, 422-428 (1993).
[CrossRef]

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, "Laser beams with screw dislocations in their wavefonts," JETP Lett. 52, 429-431 (1990).

Berry, M.

M. Berry, "Coloured phase singularities," New J. Phys. 4, 66 (2002).
[CrossRef]

Berry, M. V.

M. V. Berry "Conical diffraction asymptotics: fine structure of Poggendorff rings and axial spike," J. Opt. A 6, 289-300 (2004).

M. V. Berry andM. R. Dennis, "The optical singularrities of birefringent dichroic crystals," Proc. R. Soc. London A 459, 1261-1292 (2003).

Berry, M.V.

J.F. Nye and M.V. Berry, "Dislocations in wave trains," Proc. R. Soc. London A 336, 165-190 (1974).

Dennis, M. R.

M. V. Berry andM. R. Dennis, "The optical singularrities of birefringent dichroic crystals," Proc. R. Soc. London A 459, 1261-1292 (2003).

M. R. Dennis, "Polarization singularities in paraxial vector fields: morphology and statistics," Opt. Commun. 213, 201-221 (2002).
[CrossRef]

Dennis, M.R.

F. Flossmann, U.T. Schwarz, M. Maier, and M.R. Dennis, "Polarization singularities from unfolding an optical vortex through a birefringent crystal," Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

Desyatnikov, A. S.

Egorov, Yu. A.

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, "Fine structure of singular beams in crystals: colours and polarization," J. Opt. A 6, S217-S228 (2004).

Fadeyeva, T. A.

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, "Fine structure of singular beams in crystals: colours and polarization," J. Opt. A 6, S217-S228 (2004).

A. V. Volyar and T. A. Fadeyeva, "Laguerre-Gaussian beams in uniaxial crystals," Ukr. J. Phys. Opt. 5, 81-86 (2004).
[CrossRef]

A. V. Volyar and T. A. Fadeyeva, "Generation of singular beams in uniaxial crystals," Opt. Spectrosc. 94, 235-244 (2003).
[CrossRef]

A. V. Volyar and T. A. Fadeyeva, "Dynamics of topological multiples: 2. Birth, annihilation and evolution of nonparaxial optical vortices," Opt. Spectrosc. 92, 253-262 (2002).
[CrossRef]

Flossmann, F.

F. Flossmann, U.T. Schwarz, M. Maier, and M.R. Dennis, "Polarization singularities from unfolding an optical vortex through a birefringent crystal," Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

Heckenberg, N. R.

Kivshar, Yu. S.

Krolikowski, W.

Maier, M.

F. Flossmann, U.T. Schwarz, M. Maier, and M.R. Dennis, "Polarization singularities from unfolding an optical vortex through a birefringent crystal," Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

McDuff, R.

Mokhun, A.

O. Angelsky, A. Mokhun, I. Mokhun, and M. Soskin, "The relationship between topological characteristics of component vortices and polarization singularities," Opt. Commun. 207, 57-65 (2002).
[CrossRef]

Mokhun, I.

O. Angelsky, A. Mokhun, I. Mokhun, and M. Soskin, "The relationship between topological characteristics of component vortices and polarization singularities," Opt. Commun. 207, 57-65 (2002).
[CrossRef]

Mokhun, I. I.

O. V. Angelsky, I. I. Mokhun, and M. S. Soskin, "Interferometric methods in diagnostics of polarization singularities,"Phys. Rev. E 65, 036602 (2002).
[CrossRef]

Neshev, D. N.

Nye, J.F.

J.F. Nye and M.V. Berry, "Dislocations in wave trains," Proc. R. Soc. London A 336, 165-190 (1974).

Polyansky, P. V.

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, "Computer-synthesized hologram-based rainbow vortices," New J. Phys. 6, 196 (2004).
[CrossRef]

Rosanov, N. N.

N. N. Rosanov, "Propagation of laser radiation in anisotropic media," Opt. Spectrosc. 93, 746-741 (2002).

Schwarz, U.T.

F. Flossmann, U.T. Schwarz, M. Maier, and M.R. Dennis, "Polarization singularities from unfolding an optical vortex through a birefringent crystal," Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

Shvedov, V.

Smith, C. P.

Soskin, M.

O. Angelsky, A. Mokhun, I. Mokhun, and M. Soskin, "The relationship between topological characteristics of component vortices and polarization singularities," Opt. Commun. 207, 57-65 (2002).
[CrossRef]

Soskin, M. S.

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, "Computer-synthesized hologram-based rainbow vortices," New J. Phys. 6, 196 (2004).
[CrossRef]

O. V. Angelsky, I. I. Mokhun, and M. S. Soskin, "Interferometric methods in diagnostics of polarization singularities,"Phys. Rev. E 65, 036602 (2002).
[CrossRef]

M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," Pure Appl. Opt. 7, 301-311 (1998).
[CrossRef]

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, "Optics of light beams with screw dislocations," Opt. Commun. 103, 422-428 (1993).
[CrossRef]

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, "Laser beams with screw dislocations in their wavefonts," JETP Lett. 52, 429-431 (1990).

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," Pure Appl. Opt. 7, 301-311 (1998).
[CrossRef]

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, "Optics of light beams with screw dislocations," Opt. Commun. 103, 422-428 (1993).
[CrossRef]

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, "Laser beams with screw dislocations in their wavefonts," JETP Lett. 52, 429-431 (1990).

Volyar, A.

Volyar, A. V.

A. V. Volyar and T. A. Fadeyeva, "Laguerre-Gaussian beams in uniaxial crystals," Ukr. J. Phys. Opt. 5, 81-86 (2004).
[CrossRef]

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, "Fine structure of singular beams in crystals: colours and polarization," J. Opt. A 6, S217-S228 (2004).

A. V. Volyar and T. A. Fadeyeva, "Generation of singular beams in uniaxial crystals," Opt. Spectrosc. 94, 235-244 (2003).
[CrossRef]

A. V. Volyar and T. A. Fadeyeva, "Dynamics of topological multiples: 2. Birth, annihilation and evolution of nonparaxial optical vortices," Opt. Spectrosc. 92, 253-262 (2002).
[CrossRef]

White, A. G.

J. Opt. A

M. V. Berry "Conical diffraction asymptotics: fine structure of Poggendorff rings and axial spike," J. Opt. A 6, 289-300 (2004).

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, "Fine structure of singular beams in crystals: colours and polarization," J. Opt. A 6, S217-S228 (2004).

JETP Lett.

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, "Laser beams with screw dislocations in their wavefonts," JETP Lett. 52, 429-431 (1990).

New J. Phys.

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, "Computer-synthesized hologram-based rainbow vortices," New J. Phys. 6, 196 (2004).
[CrossRef]

M. Berry, "Coloured phase singularities," New J. Phys. 4, 66 (2002).
[CrossRef]

Opt. Commun.

O. Angelsky, A. Mokhun, I. Mokhun, and M. Soskin, "The relationship between topological characteristics of component vortices and polarization singularities," Opt. Commun. 207, 57-65 (2002).
[CrossRef]

M. R. Dennis, "Polarization singularities in paraxial vector fields: morphology and statistics," Opt. Commun. 213, 201-221 (2002).
[CrossRef]

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, "Optics of light beams with screw dislocations," Opt. Commun. 103, 422-428 (1993).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Spectrosc.

A. V. Volyar and T. A. Fadeyeva, "Dynamics of topological multiples: 2. Birth, annihilation and evolution of nonparaxial optical vortices," Opt. Spectrosc. 92, 253-262 (2002).
[CrossRef]

A. V. Volyar and T. A. Fadeyeva, "Generation of singular beams in uniaxial crystals," Opt. Spectrosc. 94, 235-244 (2003).
[CrossRef]

N. N. Rosanov, "Propagation of laser radiation in anisotropic media," Opt. Spectrosc. 93, 746-741 (2002).

Phys. Rev. E

O. V. Angelsky, I. I. Mokhun, and M. S. Soskin, "Interferometric methods in diagnostics of polarization singularities,"Phys. Rev. E 65, 036602 (2002).
[CrossRef]

Phys. Rev. Lett.

F. Flossmann, U.T. Schwarz, M. Maier, and M.R. Dennis, "Polarization singularities from unfolding an optical vortex through a birefringent crystal," Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

Proc. R. Soc. London A

M. V. Berry andM. R. Dennis, "The optical singularrities of birefringent dichroic crystals," Proc. R. Soc. London A 459, 1261-1292 (2003).

J.F. Nye and M.V. Berry, "Dislocations in wave trains," Proc. R. Soc. London A 336, 165-190 (1974).

Pure Appl. Opt.

M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," Pure Appl. Opt. 7, 301-311 (1998).
[CrossRef]

Ukr. J. Phys. Opt.

A. V. Volyar and T. A. Fadeyeva, "Laguerre-Gaussian beams in uniaxial crystals," Ukr. J. Phys. Opt. 5, 81-86 (2004).
[CrossRef]

Other

M. S. Soskin and M. V. Vasnetsov, "Singular optics," in Progress in Optics, Vol. 42, Ed. E. Wolf (North-Holand, Amstredam, 2001), p.p. 219-276.

Optical Vortices, Eds. M. Vasnetsov and K. Staliunas, Vol. 228 of Horizons in World Physics (Nova Science, Huntington, N.Y., 1999).

See an extensive list of references on optical vortices in G. A. Swartzlander, Jr., Singular Optics/Optical Vortex References, http://www.u.arizona.edu/~grovers/SO/so.html.

J. F. Nye, Natural Focusing and Fine Structure of Light, IOP Publishing (Bristol and Philadelphia, 1999), p. 327.

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, "Optical vortices and vortex solitons," in Progress in Optics, Vol. 47, Ed. E. Wolf (North-Holand, Amstredam, 2005), p.p. 291-391.

See, e.g., J. Leach and M. J. Padgett, "Observation of chromatic effects near a white-light vortex," New J. Phys. 5, 154.1-154.7 (2003), and references therein.

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