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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 14 — Jul. 14, 2014
  • pp: 16903–16915

Nonlinear coupling between axisymmetrically-polarized ultrashort optical pulses in a uniaxial crystal

Masato Suzuki, Keisaku Yamane, Kazuhiko Oka, Yasunori Toda, and Ryuji Morita  »View Author Affiliations


Optics Express, Vol. 22, Issue 14, pp. 16903-16915 (2014)
http://dx.doi.org/10.1364/OE.22.016903


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Abstract

Nonlinear propagation of focused axisymmetrically-polarized ultrashort optical pulses along the optic axis in a uniaxial crystal is investigated experimentally and theoretically. The energy transfer between an azimuthally-polarized pulse and a radially-polarized pulse is observed. To analyze the nonlinear propagation, a general paraxial equation with a third-order nonlinearity for axisymmetrically-polarized pulses in a uniaxial crystal is derived and the extended Stokes parameters (ESPs) based on cylindrical coordinates are newly-introduced. The simulation results by using this equation, providing the calculated ESPs, well explain our experimental observations: 1) the energy transfer is attributed to the four-wave-mixing effect, reflecting the overlapping between the axisymmetrically polarized modes, 2) the variations of the polarization defined from the ESPs are clarified to be affected by the self- and the cross-phase modulations, which make the effective propagation length long or short.

© 2014 Optical Society of America

OCIS Codes
(190.3270) Nonlinear optics : Kerr effect
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Nonlinear Optics

History
Original Manuscript: May 13, 2014
Revised Manuscript: June 24, 2014
Manuscript Accepted: June 24, 2014
Published: July 2, 2014

Citation
Masato Suzuki, Keisaku Yamane, Kazuhiko Oka, Yasunori Toda, and Ryuji Morita, "Nonlinear coupling between axisymmetrically-polarized ultrashort optical pulses in a uniaxial crystal," Opt. Express 22, 16903-16915 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-14-16903


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References

  1. C. Hnatovsky, V Shvedov, W Krolikowski, and A Rode, “Revealing local field structure of focused ultrashort pulses,” Phys. Rev. Lett.106, 123901 (2011). [CrossRef] [PubMed]
  2. J. Hamazaki, R. Morita, K. Chujo, Y. Kobayashi, S. Tanda, and T. Omatsu, “Optical-vortex laser ablation,” Opt. Express18, 2144–2151 (2010). [CrossRef] [PubMed]
  3. T. Omatsu, K. Chujo, K. Miyamoto, M. Okida, K. Nakamura, N. Aoki, and R. Morita, “Metal microneedle fabrication using twisted light with spin,” Opt. Express18, 17967–17973 (2010). [CrossRef] [PubMed]
  4. K. Toyoda, K. Miyamoto, N. Aoki, R. Morita, and T. Omatsu, “Using optical vortex to control the chirality of twisted metal nanostructures,” Nano Lett.12, 3645–3649 (2012). [CrossRef] [PubMed]
  5. N. M. Litchinitser, “Structured light meets structured matter,” Science337, 1054–1055 (2012). [CrossRef] [PubMed]
  6. K. Toyoda, F. Takahashi, S. Takizawa, Y. Tokizane, K. Miyamoto, R. Morita, and T. Omatsu, “Transfer of light helicity in nanostructures,” Phys. Rev. Lett.110, 143603 (2013). [CrossRef]
  7. Y. Tokizane, K. Shimatake, Y. Toda, K. Oka, M. Tsubota, S. Tanda, and R. Morita, “Global evaluation of closed-loop electron dynamics in quasi-one-dimensional conductors using polarization vortices,” Opt. Express17, 24198–24207 (2009). [CrossRef]
  8. L. Novotny, M. R. Beversluis, K. S. Youngworth, and T. G. Brown, “Longitudinal field modes probed by single molecules,” Phys. Rev. Lett.86, 5251–5254 (2001). [CrossRef] [PubMed]
  9. Y. I. Salamin and C. H. Keitel, “Electron acceleration by a tightly focused laser beam,” Phys. Rev. Lett.88, 095005 (2002). [CrossRef] [PubMed]
  10. Q. Zhan, “Trapping metallic Rayleigh particles with radial polarization,” Opt. Express12, 3377–3382 (2004). [CrossRef] [PubMed]
  11. Y. S. Rumala, G. Milione, T. A. Nguyen, S. Pratavieira, Z. Hossain, D. Nolan, S. Slussarenko, E. Karimi, L. Marrucci, and R. R. Alfano, “Tunable supercontinum light vector vortex beam generator using a q-plate,” Opt. Lett.38, 5083–5086 (2013). [CrossRef] [PubMed]
  12. S. Ramachandran, P. Kristensen, and M. F. Yan, “Generation and propagation of radially polarized beams in optical fibers,” Opt. Lett.34, 2525–2527 (2009). [CrossRef] [PubMed]
  13. K. S. Youngworth and T. G. Brown, “Focusing of high numerical aperture cylindrical-vector beams,” Opt. Express7, 77–87 (2000). [CrossRef] [PubMed]
  14. C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Tailoring of arbitrary optical vector beams,” New J. Phys.9, 78 (2007). [CrossRef]
  15. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A45, 8185–8189 (1992). [CrossRef] [PubMed]
  16. Y. Tokizane, K. Oka, and R. Morita, “Supercontinuum optical vortex pulse generation without spatial or topological-charge dispersion,” Opt. Express17, 14517–14525 (2009). [CrossRef] [PubMed]
  17. M. Stalder and M. Schadt, “Linearly polarized light with axial symmetry generated by liquid-crystal polarization converters,” Opt. Lett.21, 1948–1950 (1996). [CrossRef] [PubMed]
  18. V. G. Shvedov, C. Hnatovsky, W. Krolikowski, and A. V. Rode, “Efficient beam converter for the generation of high-power femtosecond vortices,” Opt. Lett.35, 2660–2662 (2010). [CrossRef] [PubMed]
  19. Y. Izdebskaya, E. Brasselet, V. Shvedov, A. Desyatnikov, W. Krolikowski, and Y. Kivshar, “Dynamics of linear polarization conversion in uniaxial crystals,” Opt. Express17, 18196–18208 (2009). [CrossRef] [PubMed]
  20. A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Generation of single-charge optical vortices with an uniaxial crystal,” Opt. Express14, 3724–3729 (2006). [CrossRef]
  21. T. Fadeyeva, A. Rubass, Y. Egorov, A. Volyar, and G. Swartzlander, “Quadrefringence of optical vortices in a uniaxial crystal,” J. Opt. Soc. Am. A25, 1634–1641 (2008). [CrossRef]
  22. T. A. Fadeyeva and A. V. Volyar, “Extreme spin-orbit coupling in crystal-traveling paraxial beams,” J. Opt. Soc. Am. A27, 381–389 (2010). [CrossRef]
  23. V. Shvedov, W. Krolikowski, A. Volyar, D. N. Neshev, A. S. Desyatnikov, and Y. S. Kivshar, “Focusing and correlation properties of white-light optical vortices,” Opt. Express13, 7393–7398 (2005). [CrossRef] [PubMed]
  24. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, 1995).
  25. C. Shang and H. Hsu, “The spatial symmetric forms of third-order nonlinear susceptibility,” IEEE J. Quantum Electron.23, 177–179 (1987). [CrossRef]
  26. G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, “Higher-order Poincaré sphere, Stokes parameters, and the angular momentum of light,” Phys. Rev. Lett.107, 053601 (2011). [CrossRef]
  27. M. R. Dennis, “Polarization singularities in paraxial vector fields: morphology and statistics,” Opt. Commun.213, 201–221 (2002). [CrossRef]
  28. E. Brasselet, Y. Izdebskaya, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Dynamics of optical spin-orbit coupling in uniaxial crystals,” Opt. Lett.34, 1021–1023 (2009). [CrossRef] [PubMed]
  29. 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] [PubMed]
  30. K. Y. Bliokh, E. A. Ostrovskaya, M. A. Alonso, O. G. Rodríguez-Herrera, D. Lara, and C. Dainty, “Spin-to-orbital angular momentum conversion in focusing, scattering, and imaging systems,” Opt. Express19, 26132–26149 (2011). [CrossRef]
  31. G. Zhan, K. Oka, T. Ishigaki, and N. Baba, “Birefringent imaging spectrometer,” Appl. Opt.41, 734–738 (2002). [CrossRef] [PubMed]
  32. W. J. Tropf and M. E. Thomas, “Properties of Crystals and Glasses,” in Optical Properties of Materials, Nonlinear Optics, Quantum Optics, Vol. IV of Handbook of Optics, M. Bass, G. Li, and E. V. Stryland, eds. (McGraw-Hill, 2010), Chapter 2.
  33. J. Hamazaki, Y. Mineta, K. Oka, and R. Morita, “Direct observation of Gouy phase shift in a propagating optical vortex,” Opt. Express14, 8382–8392 (2006). [CrossRef] [PubMed]
  34. A. M. Beckley, T. G. Brown, and M. A. Alonso, “Full Poincaré beams,” Opt. Express18, 10777–10785 (2010). [CrossRef] [PubMed]
  35. E. J. Weniger, “On the analyticity of Laguerre series,” J. Phys. A: Math. Theor.41, 425207 (2008). [CrossRef]

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