Polarization evolution of vector beams generated by q-plates

The polarization evolution of vector beams (VBs) generated by q-plates is investigated theoretically and experimentally. An analytical model is developed for the VB created by a general quarter-wave q-plate based on vector diffraction theory. It is found that the polarization distribution of VBs varies with position and the value q. In particular, for the incidence of circular polarization, the exit vector vortex beam has polarization states that cover the whole surface of the Poincare sphere, thereby constituting a full Poincare beam. For the incidence of linear polarization, the VB is not cylindrical but specularly symmetric, and exhibits an azimuthal spin splitting. These results are in sharp contrast with those derived by the commonly used model, i.e., regarding the incident light as a plane wave. By implementing q-plates with dielectric metasurfaces, further experiments validate the theoretical results.

[1]  Edwin Yue-Bun Pun,et al.  Spin-enabled plasmonic metasurfaces for manipulating orbital angular momentum of light. , 2013, Nano letters.

[2]  Jianping Ding,et al.  Complete shaping of optical vector beams. , 2015, Optics express.

[3]  Hailu Luo,et al.  Propagation model for vector beams generated by metasurfaces. , 2016, Optics express.

[4]  J. Goodman Introduction to Fourier optics , 1969 .

[5]  Q. Zhan Trapping metallic Rayleigh particles with radial polarization. , 2004, Optics express.

[6]  Shunichi Sato,et al.  Generation of a radially polarized laser beam by use of a conical Brewster prism. , 2005, Optics letters.

[7]  Grover A. Swartzlander,et al.  Propagation dynamics of optical vortices , 1997 .

[8]  G. Biener,et al.  Chapter 4 – Space-variant polarization manipulation , 2005 .

[9]  M Stalder,et al.  Linearly polarized light with axial symmetry generated by liquid-crystal polarization converters. , 1996, Optics letters.

[10]  Min Gu,et al.  Superresolution-focal-volume induced 3.0 Tbytes/disk capacity by focusing a radially polarized beam. , 2011, Optics letters.

[11]  Jing Chen,et al.  Optical orbital angular momentum from the curl of polarization. , 2010, Physical review letters.

[12]  Giovanni Milione,et al.  Using the nonseparability of vector beams to encode information for optical communication. , 2015, Optics letters.

[13]  Andrew Forbes,et al.  Controlled generation of higher-order Poincaré sphere beams from a laser , 2015, Nature Photonics.

[14]  F. J. Rodríguez-Fortuño,et al.  Spin–orbit interactions of light , 2015, Nature Photonics.

[15]  Q. Zhan,et al.  Varying polarization and spin angular momentum flux of radially polarized beams by anisotropic Kerr media. , 2016, Optics Letters.

[16]  Asher A. Friesem,et al.  The formation of laser beams with pure azimuthal or radial polarization , 2000 .

[17]  D. Y. Kim,et al.  Extracting optical modes of organic light-emitting diodes using quasi-periodic WO3 nanoislands. , 2013, Optics express.

[18]  S C Tidwell,et al.  Generating radially polarized beams interferometrically. , 1990, Applied optics.

[19]  Fabio Sciarrino,et al.  Complete experimental toolbox for alignment-free quantum communication , 2013 .

[20]  L. Marrucci,et al.  Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media. , 2006, Physical review letters.

[21]  Y. Lumer,et al.  Efficient extracavity generation of radially and azimuthally polarized beams. , 2007, Optics letters.

[22]  Jianping Ding,et al.  Generation of arbitrary vector beams with a spatial light modulator and a common path interferometric arrangement. , 2007, Optics letters.

[23]  Kathleen S. Youngworth,et al.  Dark-field imaging with cylindrical-vector beams. , 2006, Applied optics.

[24]  Alexander Jesacher,et al.  Tailoring of arbitrary optical vector beams , 2007 .

[25]  A. Bouhelier,et al.  Near-field second-harmonic generation induced by local field enhancement. , 2003, Physical review letters.

[26]  Chung-Hao Tien,et al.  Three-dimensional orientation-unlimited polarization encryption by a single optically configured vectorial beam , 2012, Nature Communications.

[27]  Ying Li,et al.  Photonic polarization gears for ultra-sensitive angular measurements , 2013, Nature Communications.

[28]  Siddharth Ramachandran,et al.  Generation and propagation of radially polarized beams in optical fibers. , 2009, Optics letters.

[29]  Johannes Courtial,et al.  Light’s Orbital Angular Momentum , 2004 .

[30]  D. Courjon,et al.  An all-fiber device for generating radially and other polarized light beams , 2002 .

[31]  Jeffrey A. Davis,et al.  Analysis of a segmented q-plate tunable retarder for the generation of first-order vector beams. , 2015, Applied optics.

[32]  Shuangchun Wen,et al.  Realization of Tunable Photonic Spin Hall Effect by Tailoring the Pancharatnam-Berry Phase , 2013, Scientific Reports.

[33]  Jeffrey A. Davis,et al.  Encoding high-order cylindrically polarized light beams. , 2014, Applied optics.

[34]  Ebrahim Karimi,et al.  Light propagation in a birefringent plate with topological charge. , 2009, Optics letters.

[35]  G Leuchs,et al.  Sharper focus for a radially polarized light beam. , 2003, Physical review letters.

[36]  D. Nolan,et al.  Higher order Pancharatnam-Berry phase and the angular momentum of light. , 2012, Physical review letters.

[37]  Xiaobo Yin,et al.  Radial spin Hall effect of light , 2016 .

[38]  Shreeya Khadka,et al.  Poincaré-beam patterns produced by nonseparable superpositions of Laguerre-Gauss and polarization modes of light. , 2012, Applied optics.

[39]  Amber M. Beckley,et al.  Full Poincaré beams. , 2010, Optics express.

[40]  P. Kazansky,et al.  Polarization sensitive elements fabricated by femtosecond laser nanostructuring of glass [Invited] , 2011 .

[41]  Artur Carnicer,et al.  Reconfigurable beams with arbitrary polarization and shape distributions at a given plane. , 2013, Optics express.

[42]  Q. Zhan Cylindrical vector beams: from mathematical concepts to applications , 2009 .

[43]  Yongnan Li,et al.  Spatial splitting of spin states in subwavelength metallic microstructures via partial conversion of spin-to-orbital angular momentum , 2012 .

[44]  Wieslaw Krolikowski,et al.  Revealing local field structure of focused ultrashort pulses. , 2011, Physical review letters.

[45]  Shuangchun Wen,et al.  Realization of polarization evolution on higher-order Poincaré sphere with metasurface , 2014, 1407.1997.

[46]  Kathleen S. Youngworth,et al.  Focusing of high numerical aperture cylindrical-vector beams. , 2000, Optics express.

[47]  Erez Hasman,et al.  Manipulation of the Pancharatnam phase in vectorial vortices. , 2006, Optics express.

[48]  Gerd Leuchs,et al.  Focusing light to a tighter spot , 2000 .

[49]  Jianlin Zhao,et al.  Generation of perfect vectorial vortex beams. , 2016, Optics letters.

[50]  Z. Bomzon,et al.  Radially and azimuthally polarized beams generated by space-variant dielectric subwavelength gratings. , 2002, Optics letters.

[51]  Tzu-Chieh Wei,et al.  Remote preparation of single-photon "hybrid" entangled and vector-polarization States. , 2010, Physical review letters.

[52]  L. Marrucci,et al.  Polarization pattern of vector vortex beams generated by q-plates with different topological charges. , 2012, Applied optics.

[53]  Steering far-field spin-dependent splitting of light by inhomogeneous anisotropic media , 2012, 1208.5407.

[54]  T G Brown,et al.  Longitudinal field modes probed by single molecules. , 2001, Physical review letters.

[55]  Peter G. Kazansky,et al.  Radially polarized optical vortex converter created by femtosecond laser nanostructuring of glass , 2011 .

[56]  Fabio Sciarrino,et al.  Arbitrary, direct and deterministic manipulation of vector beams via electrically-tuned q-plates , 2015, Scientific Reports.