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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 10 — May. 10, 2010
  • pp: 10848–10863

Spatially engineered polarization states and optical vortices in uniaxial crystals

Anton Desyatnikov, Tatyana A. Fadeyeva, Vladlen G. Shvedov, Yana V. Izdebskaya, Alexander V. Volyar, Etienne Brasselet, Dragomir N. Neshev, Wieslaw Krolikowski, and Yuri S. Kivshar  »View Author Affiliations


Optics Express, Vol. 18, Issue 10, pp. 10848-10863 (2010)
http://dx.doi.org/10.1364/OE.18.010848


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Abstract

We describe how the propagation of light through uniaxial crystals can be used as a versatile tool towards the spatial engineering of polarization and phase, thereby providing an all-optical technique for vectorial and scalar singular beam shaping in optics. Besides the prominent role played by the linear birefringence, the influence of circular birefringence (the optical activity) is discussed as well and both the monochromatic and polychromatic singular beam shaping strategies are addressed. Under cylindrically symmetric light-matter interaction, the radially, azimuthally, and spirally polarized eigen-modes for the light field are revealed to be of a fundamental interest to describe the physical mechanisms at work when dealing with scalar and vectorial optical singularities. In addition, we also report on nontrivial effects arising from cylindrical symmetry breaking, e.g. tilting the incident beam with respect to the crystal optical axis.

© 2010 Optical Society of America

OCIS Codes
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence
(260.6042) Physical optics : Singular optics

History
Original Manuscript: March 3, 2010
Revised Manuscript: April 26, 2010
Manuscript Accepted: April 26, 2010
Published: May 10, 2010

Virtual Issues
Unconventional Polarization States of Light (2010) Optics Express

Citation
Anton Desyatnikov, Tatyana A. Fadeyeva, Vladlen G. Shvedov, Yana V. Izdebskaya, Alexander V. Volyar, Etienne Brasselet, Dragomir N. Neshev, Wieslaw Krolikowski, and Yuri S. Kivshar, "Spatially engineered polarization states and optical vortices in uniaxial crystals," Opt. Express 18, 10848-10863 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-10-10848


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References

  1. Q. Zhan, “Cylindrical vector beams: from mathematical concepts to applications,” Adv. Opt. Photon. 1, 1–57 (2009). [CrossRef]
  2. M. Stalder, and M. Schadt, “Linearly polarized light with axial symmetry generated by liquid-crystal polarization converters,” Opt. Lett. 21, 1948–1950 (1996). [CrossRef]
  3. K. S. Youngworth, and T. G. Brown, “Focusing of high numerical aperture cylindrical vector beams,” Opt. Express 7, 77–87 (2000), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-7-2-77. [CrossRef]
  4. S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, “The focus of light—theoretical calculation and experimental tomographic reconstruction,” Appl. Phys. B 72, 109–113 (2001).
  5. Q. Zhan, and J. R. Leger, “Focus shaping using cylindrical vector beams,” Opt. Express 10, 324–331 (2002), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-10-7-324.
  6. F. Treussart, R. Alleaume, V. Le Floch, L. T. Xiao, J. M. Courty, and J.-F. Roch, “Direct measurement of the photon statistics of a triggered single photon source,” Phys. Rev. Lett. 89, 093601 (2002). [CrossRef]
  7. C. Varin, and M. Piche, “Acceleration of ultra-relativistic electrons using high-intensity TM01 laser beams,” Appl. Phys. B 74, S83–S88 (2002). [CrossRef]
  8. T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997). [CrossRef]
  9. J. J. McClelland, and M. R. Scheinfein, “Laser focusing of atoms: a particle-optics approach,” J. Opt. Soc. Am. B 8, 1974–1986 (1991). [CrossRef]
  10. F. Gori, “Polarization basis for vortex beams,” J. Opt. Soc. Am. A 18, 1612–1617 (2001). [CrossRef]
  11. R. Borghi, M. Santarsiero, and M. A. Alonso, “Highly focused spirally polarized beams,” J. Opt. Soc. Am. A 22, 1420–1431 (2005). [CrossRef]
  12. R. Borghi, and M. Santarsiero, “Nonparaxial propagation of spirally polarized optical beams,” J. Opt. Soc. Am. A 21, 2029–2037 (2004). [CrossRef]
  13. N. Passilly, R. de Saint Denis, K. Ait-Ameur, F. Treussart, R. Hierle, and J.-F. Roch, “Simple interferometric technique for generation of a radially polarized light beam,” J. Opt. Soc. Am. A 22, 984–991 (2005). [CrossRef]
  14. Z. Bomzon, V. Kleiner, and E. Hasman, “Formation of radially and azimuthally polarized light using space variant subwavelength metal strip grating,” Appl. Phys. Lett. 79, 1587–1589 (2001). [CrossRef]
  15. Z. Bomzon, G. Biener, V. Kleiner, and E. Hasman, “Radially and azimuthally polarized beams generated by space-variant dielectric subwavelength gratings,” Opt. Lett. 27, 285–287 (2002). [CrossRef]
  16. R. Oron, S. Blit, N. Davidson, and A. A. Friesem, “The formation of laser beams with pure azimuthal or radial polarization,” Appl. Phys. Lett. 77, 3322–3324 (2000). [CrossRef]
  17. D. J. Armstrong, M. C. Philips, and A. V. Smith, “Generation of radially polarized beams with an image rotating resonator,” Appl. Opt. 42, 3550–3554 (2003). [CrossRef]
  18. H. Kawauchi, Yu. Kozawa, and Sh. Sato, “Generation of radially polarized Ti:sapphire laser beam using a c-cut crystal,” Opt. Lett. 33, 1984–1986 (2008). [CrossRef]
  19. T. Fadeyeva, K. Kotlyarov, and A. Volyar, “Extreme spin-orbit coupling in Hermite-Gaussian beams in a uniaxial crystal,” arXiv:0902.3716 (2009).
  20. T. Fadeyeva, and A. Volyar, “Extreme spin-orbit coupling in crystal-travelling paraxial beams,” J. Opt. Soc. Am. A 27, 381–389 (2010). [CrossRef]
  21. C. Loussert, and E. Brasselet, “Efficient scalar and vectorial singular beam shaping using homogeneous anisotropic media,” Opt. Lett. 35, 7–9 (2010). [CrossRef]
  22. A. Shoham, R. Vander, and S. G. Lipson, “Production of radially and azimuthally polarized polychromatic beams,” Opt. Lett. 31, 3405–3407 (2006). [CrossRef]
  23. A. Niv, G. Biener, V. Kleiner, and E. Hasman, “Propagation-invariant vectorial Bessel beams obtained by use of quantized Pancharatnam-Berry phase optical elements,” Opt. Lett. 29, 238–240 (2004). [CrossRef]
  24. J. F. Nye, Natural focusing and fine structure of light (Inst. of Phys. Pub., Bristol, 1999).
  25. D. W. Diehl, R. W. Schoonover, and T. D. Visser, “The structure of focused, radially polarized fields,” Opt. Express 14, 3030–3038 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-7-3030.
  26. R. W. Schoonover, and T. D. Visser, “Polarization singularities of focused, radially polarized fields,” Opt. Express 14, 5733–5745 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14–12–5733.
  27. Y. Luo, and B. Lü, “Phase singularities of high numerical aperture radially and azimuthally polarized beams in the focal region,” J. Opt. A 11, 015707 (2009).
  28. M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: Optical vortices and polarization singularities,” Prog. Opt. 53, 293–363 (2009). [CrossRef]
  29. J. Nye, and M. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–190 (1974). [CrossRef]
  30. M. Soskin, and M. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219 (2001).
  31. . M. Vasnetsov and K. Staliunas, Optical Vortices, in Horizons of World Physics 228 (Nova Science, 1999).
  32. Y. Izdebskaya, V. Shvedov, and A. Volyar, “Generation of higher-order optical vortices by a dielectric wedge,” Opt. Lett. 30, 2472–2474 (2005). [CrossRef]
  33. L. Allen, S. M. Barnet, and M. J. Padgett, “Optical Angular Momentum” (IOP Publishing, Bristol, 2003).
  34. C. Alexeyev, A. Volyar, and M. Yavorsky, “Fiber optical vortices,” in Lasers, Optics and Electro-Optics Research Trends, ed. L. I. Chen (Nova Science Pub., 2007) pp. 131–223.
  35. T. Fadeyeva, and A. Volyar, “Nondiffracting vortex-beams in a birefringent chiral crystal,” J. Opt. Soc. Am. A 27, 13–20 (2010). [CrossRef]
  36. A. Volyar, and T. Fadeyeva, “Generation of singular beams in uniaxial crystals,” Opt. Spectrosc. 94, 264–274 (2003). [CrossRef]
  37. A. Volyar, and T. Fadeyeva, “Decay and fusion of polarization umbilics of singular beam in crystal,” Opt. Spectrosc. 95, 285 (2003). [CrossRef]
  38. E. Brasselet, N. Murazawa, H. Misawa, and S. Juodkazis, “Optical vortices from liquid crystal droplets,” Phys. Rev. Lett. 103, 103903 (2009). [CrossRef]
  39. M. Born, and E. Wolf, Principles of Optics (Pergaman, Oxford, 1975).
  40. A. Ciattoni, G. Cincotti, and C. Palma, “Circular polarized beams and vortex generation in uniaxial media,” J. Opt. Soc. Am. A 20, 163–171 (2003). [CrossRef]
  41. A. Volyar, and T. Fadeyeva, “Laguerre-Gaussian beams with complex and real arguments in uniaxial crystals,” Opt. Spectrosc. 101, 297–304 (2006). [CrossRef]
  42. I. Buinyi, V. Denisenko, and M. Soskin, “Topological structure in polarization resolved conoscopic patterns for nematic liquid crystal cells,” Opt. Commun. 282, 143–155 (2009). [CrossRef]
  43. Yu. Egorov, T. Fadeyeva, and A. Volyar, “The fine structure of singular beams in crystals: colors and polarization,” J. Opt. A 6, S217–S228 (2004).
  44. A. Volyar, Yu. Egorov, A. Rybas, and T. Fadeyeva, ““The fine structure of “white” optical vortices in crystals,” Tech. Phys. Lett. 30, 82–89 (2004). [CrossRef]
  45. V. Shvedov, W. Krolikowski, A. Volyar, D. N. Neshev, A. S. Desyatnikov, and Yu. S. Kivshar, “Focusing and correlation properties of white-light optical vortices,” Opt. Express 13, 7393–7398 (2005), http: //www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-19-7393. [CrossRef]
  46. A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, “Generation of single-charge optical vortices with an uniaxial crystal,” Opt. Express 14, 3724–3729 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-9-3724. [CrossRef]
  47. V. Denisenko, V. Shvedov, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, A. Volyar, M. Soskin, and Yu. S. Kivshar, “Determination of topological charges of polychromatic optical vortices,” Opt. Express 17, 23374–23379 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-26-23374. [CrossRef]
  48. V. Shvedov, Ya. Izdebskaya, A. Rode, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Generation of optical bottle beams by incoherent white-light vortices,” Opt. Express 16, 20902–20907 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-25-20902. [CrossRef]
  49. D. Neshev, A. Dreischuh, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Observation of polychromatic vortex solitons,” Opt. Lett. 33, 1851–1853 (2008). [CrossRef]
  50. R. Beth, “Mechanical detection and measurement of the angular momentum of light,” Phys. Rev. 50, 115–125 (1936). [CrossRef]
  51. A. Ciattoni, and C. Palma, “Anisotropic beam spreading in uniaxial crystals,” Opt. Commun. 231, 79–92 (2004). [CrossRef]
  52. T. A. Fadeyeva, A. F. Rubass, B. V. Sokolenko, and A. V. Volyar, “The vortex-beam ’precession’ in a rotating uniaxial crystal,” J. Opt. A 11, 094008 (2009).
  53. A. Ciattoni, G. Cincotti, and C. Palma, “Angular momentum dynamics of a paraxial beam in a uniaxial crystal,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67, 036618 (2003).
  54. E. Brasselet, Ya. 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]
  55. Ya. Izdebskaya, E. Brasselet, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Dynamics of linear polarization conversion in uniaxial crystals,” Opt. Express 20, 18196–18208 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-20-18196. [CrossRef]
  56. A. Rubass, T. Fadeyeva, Yu. Egorov, V. Shvedov, A. Volyar, A. S. Desyatnikov, and Yu. S. Kivshar, “Spiral-like singular beams in gyrotropic crystals,” Proc. SPIE 624, 62540H–1-8 (2006).
  57. G. N. Ramachandran, and S. Ramaseshan, “Crystal optics” in Handbuch der Physik (Springer, Berlin, 1961).
  58. T. Fadeyeva, A. Rubass, Yu. Egorov, A. Volyar, and G. Shvartzlander, “Quadrefringence of optical vortices in a uniaxial crystal,” J. Opt. Soc. Am. A 25, 1634–1641 (2008). [CrossRef]
  59. T. Fadeyeva, A. Rubass, and A. Volyar, “Transverse shift of high-order paraxial vortex-beam induced by a homogeneous anisotropic medium,” Phys. Rev. A 79, 053815 (2009). [CrossRef]
  60. F. Flossman, 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]
  61. Ya. Izdebskaya, V. Shvedov, and A. Volyar, “Symmetric array of off-axis singular beams: spiral beams and their critical points,” J. Opt. Soc. Am. A 25, 171–181 (2008). [CrossRef]

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