Abstract

We report on the experimental and theoretical investigation of polarization conversion of linearly polarized Gaussian beam propagating in perpendicularly cut homogeneous uniaxial crystals. We derive analytical expressions, in good agreement with experimental data, for power transfer between components at normal incidence accompanied by the generation of a topological quadrupole. We extend the results to the oblique incidence case and confirm experimentally the optimal parameters for generation of a single charge on-axis optical vortex, including spectrally resolved measurements for the white-light beams.

© 2009 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 (1974).
    [CrossRef]
  2. M. S. Soskin and M. V. Vasnetsov, "Singular optics," Prog. Opt. 42, 219 (Ed., E. Wolf, Elsevier, 2001).
  3. M. R. Dennis, K. O’Holleran, and M. J. Padgett, "Singular Optics: Optical Vortices and Polarization Singularities," Prog. Opt. 52, 293 (Ed., E. Wolf, Elsevier, 2009).
  4. V. Bazhenov, M. Vasnetsov, and M. Soskin, "Laser beams with screw dislocations in their wavefonts," JETP Lett. 52, 429 (1990).
  5. N. Heckenberg, R. McDuff, C. Smith, and A. White, "Generation of optical phase singularities by computergenerated holograms," Opt. Lett. 17, 221 (1992).
    [CrossRef]
  6. A. Ciattoni, G. Cincotti, and C. Palma, "Propagation of cylindrically symmetric fields in uniaxial crystals," J. Opt. Soc. Am. A 19, 792 (2002).
    [CrossRef]
  7. A. Ciattoni, G. Cancotti, and C. Palma, "Circularly polarized beams and vortex generation in uniaxial media," J. Opt. Soc. Am. A 20, 163 (2003).
    [CrossRef]
  8. A. Volyar and T. Fadeyeva, "Generation of singular beams in uniaxial crystals," Opt. Spectrosc. 94, 235 (2003).
    [CrossRef]
  9. M. Berry and M. Dennis, "The optical singularities of birefringent dichroic chiral crystals," Proc. R. Soc. Lond. A 459, 1261 (2003).
    [CrossRef]
  10. L. Marrucci, C. Manzo, and D. Paparo, "Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media," Phys. Rev. Lett. 96, 163905 (2006).
    [CrossRef]
  11. E. Brasselet, N. Murazawa, H. Misawa, and S. Juodkazis, "Optical vortices from liquid crystal droplets," Phys. Rev. Lett. 103, 103903 (2009).
    [CrossRef]
  12. A. V. Volyar and T. A. Fadeeva, "Optical vortices in crystals: Formation, annihilation, and decay of polarization ombilics," J. Technol. Phys. Lett. 29, 111-114 (2003).
    [CrossRef]
  13. A. V. Volyar and T. A. Fadeeva, "Decay and fusion of polarization umbilics in a singular beam passed through a crystal," Opt. Spectrosc. 95, 792-799 (2003).
    [CrossRef]
  14. Yu. Egorov, T. Fadeyeva, and A. Volyar, "The fine structure of singular beams in crystals: colours and polarization," J. Opt. A: Pure Appl. Opt. 6, S217 (2004).
    [CrossRef]
  15. F. Flossmann, U. Schwarz, M. Maier, and M. Dennis, "Polarization singularities from unfolding an optical vortex through a birefringent crystal," Phys. Rev. Lett. 95, 253901 (2005).
    [CrossRef]
  16. A. Volyar and T. Fadeyeva, "Laguerre-Gaussian beams with complex and real arguments in a uniaxial crystal," Opt. Spectrosc. 101, 450-457 (2006).
    [CrossRef]
  17. T. Fadeyeva, Yu. Egorov, A. Rubass, G. A. Swartzlander, Jr., and A. Volyar, "Indistinguishability limit for off-axis vortex beams in uniaxial crystals," Opt. Lett. 32, 3116 (2007).
    [CrossRef]
  18. T. Fadeyeva, A. Rubass, Yu. Egorov, A. Volyar, and G. Swartzlander, "Quadrefringence of optical vortices in a uniaxial crystal," J. Opt. Soc. Am. A 25, 1634 (2008).
    [CrossRef]
  19. T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, "Transverse shift of a high-order paraxial vortex-beam induced by a homogeneous anisotropic medium," Phys. Rev. A 79, 053815 (2009).
    [CrossRef]
  20. M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," J. Opt. A:Pure Appl. Opt. 7, 301311 (1998).
    [CrossRef]
  21. A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, "Optical vortices and vortex solitons," Prog. Opt. 47, 291-391 (Ed. E. Wolf, Elsevier, 2005).
  22. D. N. Neshev, A. Dreischuh, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, "Observation of polychromatic vortex solitons," Opt. Lett. 33, 1851 (2008).
    [CrossRef]
  23. V. G. Shvedov, A. S. Desyatnikov, A. V. Rode, W. Z. Krolikowski, and Yu. S. Kivshar, "Optical guiding of absorbing nanoclusters in air," Opt. Express 17, 5743 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-7-5743.
    [CrossRef]
  24. A. S. Desyatnikov, V. G. Shvedov, A. V. Rode, W. Z. Krolikowski, and Yu. S Kivshar, "Photophoretic manipulation of absorbing aerosol particles with vortex beams: theory versus experiment," Opt. Express,  17, 8201 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-10-8201.
    [CrossRef]
  25. E. Brasselet, Y. Izdebskaya, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, "Dynamics of optical spin-orbit coupling in uniaxial crystals," Opt. Lett. 34, 1021-1023 (2009).
    [CrossRef]
  26. A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krollikowski, and Yu. S. Kivshar, "Generation of single-charged optical vortices with a uniaxial crystal," Opt. Express 14, 3724 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-9-3724.
    [CrossRef]
  27. M. Berry, "Coloured phase singularities," New J. Phys. 4, 66 (2002).
  28. M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, "Computer-synthesized hologram-based rainbow vortices," New J. Phys. 6, 196 (2004).

2009 (5)

2008 (2)

2007 (1)

2006 (3)

L. Marrucci, C. Manzo, and D. Paparo, "Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media," Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

A. Volyar and T. Fadeyeva, "Laguerre-Gaussian beams with complex and real arguments in a uniaxial crystal," Opt. Spectrosc. 101, 450-457 (2006).
[CrossRef]

A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krollikowski, and Yu. S. Kivshar, "Generation of single-charged optical vortices with a uniaxial crystal," Opt. Express 14, 3724 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-9-3724.
[CrossRef]

2005 (1)

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

2004 (2)

Yu. Egorov, T. Fadeyeva, and A. Volyar, "The fine structure of singular beams in crystals: colours and polarization," J. Opt. A: Pure Appl. Opt. 6, S217 (2004).
[CrossRef]

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

2003 (5)

A. V. Volyar and T. A. Fadeeva, "Optical vortices in crystals: Formation, annihilation, and decay of polarization ombilics," J. Technol. Phys. Lett. 29, 111-114 (2003).
[CrossRef]

A. V. Volyar and T. A. Fadeeva, "Decay and fusion of polarization umbilics in a singular beam passed through a crystal," Opt. Spectrosc. 95, 792-799 (2003).
[CrossRef]

A. Ciattoni, G. Cancotti, and C. Palma, "Circularly polarized beams and vortex generation in uniaxial media," J. Opt. Soc. Am. A 20, 163 (2003).
[CrossRef]

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

M. Berry and M. Dennis, "The optical singularities of birefringent dichroic chiral crystals," Proc. R. Soc. Lond. A 459, 1261 (2003).
[CrossRef]

2002 (2)

1998 (1)

M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," J. Opt. A:Pure Appl. Opt. 7, 301311 (1998).
[CrossRef]

1992 (1)

1990 (1)

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

1974 (1)

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

Bazhenov, V.

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

Berry, M.

M. Berry and M. Dennis, "The optical singularities of birefringent dichroic chiral crystals," Proc. R. Soc. Lond. A 459, 1261 (2003).
[CrossRef]

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

Berry, M. V.

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

Brasselet, E.

E. Brasselet, N. Murazawa, H. Misawa, and S. Juodkazis, "Optical vortices from liquid crystal droplets," Phys. Rev. Lett. 103, 103903 (2009).
[CrossRef]

E. Brasselet, Y. Izdebskaya, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, "Dynamics of optical spin-orbit coupling in uniaxial crystals," Opt. Lett. 34, 1021-1023 (2009).
[CrossRef]

Cancotti, G.

Ciattoni, A.

Cincotti, G.

Dennis, M.

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

M. Berry and M. Dennis, "The optical singularities of birefringent dichroic chiral crystals," Proc. R. Soc. Lond. A 459, 1261 (2003).
[CrossRef]

Desyatnikov, A. S.

Dreischuh, A.

Egorov, Yu.

Fadeeva, T. A.

A. V. Volyar and T. A. Fadeeva, "Decay and fusion of polarization umbilics in a singular beam passed through a crystal," Opt. Spectrosc. 95, 792-799 (2003).
[CrossRef]

A. V. Volyar and T. A. Fadeeva, "Optical vortices in crystals: Formation, annihilation, and decay of polarization ombilics," J. Technol. Phys. Lett. 29, 111-114 (2003).
[CrossRef]

Fadeyeva, T.

Fadeyeva, T. A.

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, "Transverse shift of a high-order paraxial vortex-beam induced by a homogeneous anisotropic medium," Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Flossmann, F.

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

Heckenberg, N.

Izdebskaya, Y.

Juodkazis, S.

E. Brasselet, N. Murazawa, H. Misawa, and S. Juodkazis, "Optical vortices from liquid crystal droplets," Phys. Rev. Lett. 103, 103903 (2009).
[CrossRef]

Kivshar, Yu. S

Kivshar, Yu. S.

Krolikowski, W.

Krolikowski, W. Z.

Krollikowski, W.

Maier, M.

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

Manzo, C.

L. Marrucci, C. Manzo, and D. Paparo, "Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media," Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Marrucci, L.

L. Marrucci, C. Manzo, and D. Paparo, "Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media," Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

McDuff, R.

Misawa, H.

E. Brasselet, N. Murazawa, H. Misawa, and S. Juodkazis, "Optical vortices from liquid crystal droplets," Phys. Rev. Lett. 103, 103903 (2009).
[CrossRef]

Murazawa, N.

E. Brasselet, N. Murazawa, H. Misawa, and S. Juodkazis, "Optical vortices from liquid crystal droplets," Phys. Rev. Lett. 103, 103903 (2009).
[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 (1974).
[CrossRef]

Palma, C.

Paparo, D.

L. Marrucci, C. Manzo, and D. Paparo, "Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media," Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

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).

Rode, A. V.

Rubass, A.

Rubass, A. F.

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, "Transverse shift of a high-order paraxial vortex-beam induced by a homogeneous anisotropic medium," Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Schwarz, U.

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

Shvedov, V.

Shvedov, V. G.

Smith, C.

Soskin, M.

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

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).

M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," J. Opt. A:Pure Appl. Opt. 7, 301311 (1998).
[CrossRef]

Swartzlander, G.

Swartzlander, G. A.

Vasnetsov, M.

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

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," J. Opt. A:Pure Appl. Opt. 7, 301311 (1998).
[CrossRef]

Volyar, A.

Volyar, A. V.

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, "Transverse shift of a high-order paraxial vortex-beam induced by a homogeneous anisotropic medium," Phys. Rev. A 79, 053815 (2009).
[CrossRef]

A. V. Volyar and T. A. Fadeeva, "Decay and fusion of polarization umbilics in a singular beam passed through a crystal," Opt. Spectrosc. 95, 792-799 (2003).
[CrossRef]

A. V. Volyar and T. A. Fadeeva, "Optical vortices in crystals: Formation, annihilation, and decay of polarization ombilics," J. Technol. Phys. Lett. 29, 111-114 (2003).
[CrossRef]

White, A.

J. Opt. A: Pure Appl. Opt. (1)

Yu. Egorov, T. Fadeyeva, and A. Volyar, "The fine structure of singular beams in crystals: colours and polarization," J. Opt. A: Pure Appl. Opt. 6, S217 (2004).
[CrossRef]

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

J. Technol. Phys. Lett. (1)

A. V. Volyar and T. A. Fadeeva, "Optical vortices in crystals: Formation, annihilation, and decay of polarization ombilics," J. Technol. Phys. Lett. 29, 111-114 (2003).
[CrossRef]

JETP Lett. (1)

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

New J. Phys. (2)

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

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

Opt. Express (3)

Opt. Lett. (4)

Opt. Spectrosc. (3)

A. Volyar and T. Fadeyeva, "Laguerre-Gaussian beams with complex and real arguments in a uniaxial crystal," Opt. Spectrosc. 101, 450-457 (2006).
[CrossRef]

A. V. Volyar and T. A. Fadeeva, "Decay and fusion of polarization umbilics in a singular beam passed through a crystal," Opt. Spectrosc. 95, 792-799 (2003).
[CrossRef]

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

Phys. Rev. A (1)

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, "Transverse shift of a high-order paraxial vortex-beam induced by a homogeneous anisotropic medium," Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Phys. Rev. Lett. (3)

L. Marrucci, C. Manzo, and D. Paparo, "Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media," Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

E. Brasselet, N. Murazawa, H. Misawa, and S. Juodkazis, "Optical vortices from liquid crystal droplets," Phys. Rev. Lett. 103, 103903 (2009).
[CrossRef]

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

Proc. R. Soc. Lond. A (1)

M. Berry and M. Dennis, "The optical singularities of birefringent dichroic chiral crystals," Proc. R. Soc. Lond. A 459, 1261 (2003).
[CrossRef]

Proc. R. Soc. London A (1)

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

Pure Appl. Opt. (1)

M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," J. Opt. A:Pure Appl. Opt. 7, 301311 (1998).
[CrossRef]

Other (3)

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, "Optical vortices and vortex solitons," Prog. Opt. 47, 291-391 (Ed. E. Wolf, Elsevier, 2005).

M. S. Soskin and M. V. Vasnetsov, "Singular optics," Prog. Opt. 42, 219 (Ed., E. Wolf, Elsevier, 2001).

M. R. Dennis, K. O’Holleran, and M. J. Padgett, "Singular Optics: Optical Vortices and Polarization Singularities," Prog. Opt. 52, 293 (Ed., E. Wolf, Elsevier, 2009).

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