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http://dx.doi.org/10.3807/COPP.2017.1.6.631

Generation of Full Poincaré Beams on Arbitrary Order Poincaré Sphere  

Wang, Jue (School of Electronic and Optical Engineering, Nanjing University of Science and Technology)
Wang, Lin (School of Electronic and Optical Engineering, Nanjing University of Science and Technology)
Xin, Yu (School of Electronic and Optical Engineering, Nanjing University of Science and Technology)
Publication Information
Current Optics and Photonics / v.1, no.6, 2017 , pp. 631-636 More about this Journal
Abstract
We firstly develop a straightforward method to generate full $Poincar{\acute{e}}$ beams with any polarization geometry over an arbitrary order $Poincar{\acute{e}}$ sphere. We implement this by coaxial superposition of two orthogonal circular polarized beams with alternative topological charges with the help of a Mach-Zehnder interferometer. Secondly we find the existence of singularity points. And the inner relationship between their characteristics and the order of $Poincar{\acute{e}}$ spheres is also studied. In summary, this work provides a convenient and effective way to generate vector beams and to control their polarization states.
Keywords
Polarization singularity; Optical vortices; Vector beam;
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1 X. Yi, Y. Liu, X. Ling, X. Zhou, Y. Ke, H. Luo, S. Wen, and D. Fan, "Hybrid-order Poincare sphere," Phys. Rev. A. 91(2), 023801 (2015).   DOI
2 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. A. 45(11), 8185 (1992).   DOI
3 Q. Zhan, "Cylindrical vector beams: from mathematical concepts to applications," Adv. Opt. Photon. 1(1), 1-57 (2009).   DOI
4 X. Ling, X. Yi, Z. Dai, Y. Wang, and L. Chen "Characterization and manipulation of full Poincaré beams on the hybrid Poincare sphere," J. Opt. Soc. Am. B 33(11), 2172-2176 (2016).   DOI
5 S. Chen, X. Zhou, Y. Liu, X. Ling, H. Luo, and S. Wen, "Generation of arbitrary cylindrical vector beams on the higher order Poincare sphere," Opt. Lett. 39(18), 5274-5276 (2014).   DOI
6 F. Cardano, E. Karimi, L. Marrucci, C. de Lisio, and E. Santamato "Generation and dynamics of optical beams with polarization singularities," Opt. Express 21(7), 8815-8820 (2013).   DOI
7 T. Setala, A. Shevchenko, M. Kaivola, and A. T. Friberg, "Degree of polarization for optical near fields," Phys. Rev. E. 66(1), 016615 (2002).   DOI
8 A. I. Mokhun, M. S. Soskin, and I. Freund, "Elliptic critical points: C-points, a-lines, and the sign rule," Opt. Lett 27(12), 995-997 (2002).   DOI
9 I. Freund, "Polarization singularity indices in Gaussian laser beams," Opt. Commun. 201(4), 251-270 (2002).   DOI
10 S. Feng, H. G. Winful, "Physical origin of the Gouy phase shift," Opt. Lett. 26(8), 485-487 (2001).   DOI
11 M.-A. Garcia-March, A. Ferrando, M. Zacares, S. Sahu, and D. E. Ceballos-Herrera, "Symmetry, winding number, and topological charge of vortex solitons in discrete-symmetry media," Phys. Rev. A. 79(5), 053820 (2009).   DOI
12 A. Ferrando and M. A. Garcia-March, "Analytical solution for multi-singular vortex Gaussian beams: the mathematical theory of scattering modes," J. Opt. 18(6), 064006 (2016).   DOI
13 E. Otte, C. Alpmann, and C. Denz, "Higher-order polarization singularitites in tailored vector beams," J. Opt. 18, 074012 (2016).   DOI
14 M. R. Dennis, "Polarization singularity anisotropy: determining monstardom," Opt. Lett. 33(22), 2572-2574 (2008).   DOI
15 W. Zhu, V. Shvedov, W. She, and W. Krolikowski, "Transverse spin angular momentum of tightly focused full Poincaré beams," Opt. Express 23(26), 34029-34041 (2015).   DOI
16 R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto and M. Takeda, "Characterization of spatial polarization fluctuations in scattered field," J. Opt. 16(10), 105010 (2014).   DOI
17 A. M. Beckley, T. G. Brown, and M. A. Alonso, "Full Poincare beams," Opt. Express 18(10), 10777-10785 (2010).   DOI
18 M. S. Soskin and M. V. Vasnetsov, "Singular optics," Prog. Opt. 42(4), 219-276 (2001).
19 H. Poincare, Theorie mathematique de la lumiere. Vol. 2. Gauthier Villars, 1892.
20 M. Born and E. Wolf, Principles of Optics. Cambridge University, 1997.
21 A. M. Beckley, T. G. Brown, and M. A. Alonso, "Full Poincare beams II: partial polarization," Opt. Express 20(9), 9357-9362 (2012).   DOI
22 G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, "Higher-order Poincare sphere, Stokes parameters, and the angular momentum of light," Phys. Rev. Lett. 107(5), 053601 (2011).   DOI
23 S. G. Reddy, P. Chithrabhanu, P. Vaity, A. Aadhi, S. Prabhakar, and R. P. Singh, "Non-diffracting speckles of a perfect vortex beam," J. Opt. 18(5), 055602 (2016).   DOI
24 S. G. Reddy, S. Prabhakar, A. Kumar, J. Banerji, and R. P. Singh, "Higher order optical vortices and formation of speckles," Opt. Lett. 39(15), 4364-4367 (2014).   DOI