Generation of arbitrary vector vortex beams on hybrid-order Poincar&#233; sphere

Zhenxing Liu; Yuanyuan Liu; Yougang Ke; Yachao Liu; Weixing Shu; Hailu Luo; Shuangchun Wen

doi:10.1364/PRJ.5.000015

[1] Q. Zhan. Cylindrical vector beams: from mathematical concepts to applications. Adv. Opt. Photon., 1, 1-57(2009).

[2] L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman. Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes. Phys. Rev. A, 45, 8185-8189(1992).

[3] D. Deng, Q. Guo. Analytical vectorial structure of radially polarized light beams. Opt. Lett., 32, 2711-2713(2007).

[4] W. Shu, Y. Liu, Y. Ke, X. Ling, Z. Liu, B. Huang, H. Luo, X. Yin. Propagation model for vector beams generated by metasurfaces. Opt. Express, 24, 21177-21189(2016).

[5] H. Ye, C. Wan, K. Huang, T. Han, J. Teng, Y. S. Ping, C. Qiu. Creation of vectorial bottle-hollow beam using radially or azimuthally polarized light. Opt. Lett., 39, 630-633(2014).

[6] A. F. Abouraddy, K. C. Toussaint. Three-dimensional polarization control in microscopy. Phys. Rev. Lett., 96, 153901(2006).

[7] X. Xie, Y. Chen, K. Yang, J. Zhou. Harnessing the point-spread function for high-resolution far-field optical microscopy. Phys. Rev. Lett., 113, 263901(2014).

[8] J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, A. E. Willer. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. Photonics, 6, 488-496(2012).

[9] A. M. Yao, M. J. Padgett. Orbital angular momentum: origins, behavior and applications. Adv. Opt. Photon., 3, 161-204(2011).

[10] J. Ng, Z. Lin, C. T. Chan. Theory of optical trapping by an optical vortex beam. Phys. Rev. Lett., 104, 103601(2010).

[11] H. Poincaré. Theorie Mathematique de la Lumiere(1892).

[12] G. Milione, H. I. Sztul, D. A. Nolan, R. R. Alfano. Higher-order Poincaré sphere, Stokes parameters, and the angular momentum of light. Phys. Rev. Lett., 107, 053601(2011).

[13] A. Holleczek, A. Aiello, C. Gabriel, C. Marquardt, G. Leuchs. Classical and quantum properties of cylindrically polarized states of light. Opt. Express, 19, 9714-9736(2011).

[14] Y. Kozawa, S. Sato. Generation of a radially polarized laser beam by use of a conical Brewster prism. Opt. Lett., 30, 3063-3065(2005).

[15] U. Ruiz, P. Pagliusi, C. Provenzano, G. Cipparrone. Highly efficient generation of vector beams through polarization holograms. Appl. Phys. Lett., 102, 161101(2013).

[16] X. Wang, J. Ding, W. Ni, C. Guo, H. Wang. Generation of arbitrary vector beams with a spatial light modulator and a common path interferometric arrangement. Opt. Lett., 32, 3549-3551(2007).

[17] U. Levy, C. H. Tsai, L. Pang, Y. Fainman. Engineering space-variant inhomogeneous media for polarization control. Opt. Lett., 29, 1718-1720(2004).

[18] M. M. Sánchezlópez, J. A. Davis, N. Hashimoto, I. Moreno, E. Hurtado, K. Badham, A. Tanabe, S. W. Delaney. Performance of a q-plate tunable retarder in reflection for the switchable generation of both first- and second-order vector beams. Opt. Lett., 41, 13-16(2016).

[19] Z. Bomzon, G. Biener, V. Kleiner, E. Hasman. Radially and azimuthally polarized beams generated by space-variant dielectric subwavelength gratings. Opt. Lett., 27, 285-287(2002).

[20] R. Oron, S. Blit, N. Davidson, A. A. Friesem. The formation of laser beams with pure azimuthal or radial polarization. Appl. Phys. Lett., 77, 3322-3324(2000).

[21] J. Li, K. Ueda, M. Musha, L. Zhong, A. Shirakawa. Radially polarized and pulsed output from passively Q-switched Nd:YAG ceramic microchip laser. Opt. Lett., 33, 2686-2688(2008).

[22] W. Han, Y. Yang, W. Cheng, Q. Zhan. Vectorial optical field generator for the creation of arbitrarily complex fields. Opt. Express, 21, 20692-20706(2013).

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

[24] M. Stadler, M. Schadt. Linearly polarized light with axial symmetry generated by liquid-crystal polarization converters. Opt. Lett., 21, 251-1950(1996).

[25] S. Mei, M. Q. Mehmood, S. Hussain, K. Huang, X. Ling, S. Y. Siew, H. Liu, J. Teng, A. Danner, C. Qiu. Flat helical nanosieves. Adv. Funct. Mater., 26, 5255-5262(2016).

[26] M. Q. Mehmood, S. Mei, S. Hussain, K. Huang, S. Y. Siew, L. Zhang, T. Zhang, X. Ling, H. Liu, J. Teng, A. Danner, S. Zhang, C. Qiu. Visible-frequency metasurface for structuring and spatially multiplexing optical vortices. Adv. Mater., 28, 2533-2539(2016).

[27] A. Arbabi, E. Arbabi, S. M. Kamali, Y. Horie, S. Han, A. Faraon. Miniature optical planar camera based on a wide-angle metasurface doublet corrected for monochromatic aberrations. Adv. Opt. Mater., 4, 818-833(2016).

[28] B. Zhang, Z. Chen, H. Sun, J. Xia, J. Ding. Vectorial optical vortex filtering for edge enhancement. J. Opt., 18, 035703(2016).

[29] Y. Liu, D. Cline, P. He. Vacuum laser acceleration using a radially polarized CO₂ laser beam. Nucl. Instrum. Methods Phys. Res., 424, 296-303(1999).

[30] J. Tang, Y. Ming, Z. Chen, W. Hu, F. Xu, Y. Lu. Entanglement of photons with complex spatial structure in Hermite–Laguerre–Gaussian modes. Phys. Rev. A, 94, 012313(2016).

[31] X. Hao, C. Kuang, T. Wang, X. Liu. Phase encoding for sharper focus of the azimuthally polarized beam. Opt. Lett., 35, 3928-3930(2010).

[32] Y. Zhang, P. Li, S. Liu, J. Zhao. Unveiling the photonic spin Hall effect of freely propagating fan-shaped cylindrical vector vortex beams. Opt. Lett., 40, 4444-4447(2015).

[33] Y. Liu, Y. Ke, H. Luo, S. Wen. Photonic spin Hall effect in metasurfaces: a brief review. Nanophotonics, 6, 51-70(2016).

[34] Z. Zhao, J. Wang, S. Li, A. E. Willner. Metamaterials-based broadband generation of orbital angular momentum carrying vector beams. Opt. Lett., 38, 932-934(2013).

[35] C. Qiu, D. Palima, A. Novitsky, D. Gao, W. Ding, S. V. Zhukovsky, J. Gluckstad. Engineering light-matter interaction for emerging optical manipulation applications. Nanophotonics, 3, 181-201(2014).

[36] H. Chen, J. Hao, B. F. Zhang, J. Xu, J. Ding, H. T. Wang. Generation of vector beam with space-variant distribution of both polarization and phase. Opt. Lett., 36, 3179-3181(2011).

[37] F. Cardano, E. Karimi, S. Slussarenko, L. Marrucci, C. de Lisio, E. Santamato. Polarization pattern of vector vortex beams generated by q-plates with different topological charges. Appl. Opt., 51, C1-C6(2012).

[38] E. J. Galvez, S. Khadka, W. H. Schubert, S. Nomoto. Poincaré-beam patterns produced by nonseparable superpositions of Laguerre–Gauss and polarization modes of light. Appl. Opt., 51, 2925-2934(2012).

[39] N. K. Viswanathan, V. V. G. K. Inavalli. Generation of optical vector beams using a two-mode fiber. Opt. Lett., 34, 1189-1191(2009).

[40] X. Yi, Y. Liu, X. Ling, X. Zhou, Y. Ke, H. Luo, S. Wen. Hybrid-order Poincaré sphere. Phys. Rev. A, 91, 023801(2015).

[41] A. Niv, G. Biener, V. Kleiner, E. Hasman. Manipulation of the Pancharatnam phase in vectorial vortices. Opt. Express, 14, 4208-4220(2006).

[42] Y. Liu, X. Ling, X. Yi, X. Zhou, H. Luo, S. Wen. Realization of polarization evolution on higher-order Poincaré sphere with metasurface. Appl. Phys. Lett., 104, 191110(2014).

[43] G. Milione, S. Evans, D. A. Nolan, R. R. Alfano. Higher order Pancharatnam–Berry phase and the angular momentum of light. Phys. Rev. Lett., 108, 190401(2012).

[44] H. Hu, X. Xu, W. Xie, X. Xu. Study on the generation of a vortex laser beam by using phase-only liquid crystal spatial light modulator. Opt. Eng., 52, 091721(2013).

[45] A. S. Ostrovsky, C. Rickenstorffparrao, V. Arrizón. Generation of the “perfect” optical vortex using a liquid-crystal spatial light modulator. Opt. Lett., 38, 534-536(2013).

[46] P. Vaity, L. Rusch. Perfect vortex beam: Fourier transformation of a Bessel beam. Opt. Lett., 40, 597-600(2015).

[47] J. García-García, C. Rickenstorff-Parrao, R. Ramos-García, V. Arrizón, A. S. Ostrovsky. Simple technique for generating the perfect optical vortex. Opt. Lett., 39, 5305-5308(2014).

[48] V. Arrizón, U. Ruiz, D. Sánchez-de-la-Llave, G. Mellado-Villaseñor, A. S. Ostrovsky. Optimum generation of annular vortices using phase diffractive optical elements. Opt. Lett., 40, 1173-1176(2015).

[49] P. Chen, B. Wei, W. Ji, S. Ge, W. Hu, F. Xu, V. Chigrinov, Y. Lu. Arbitrary and reconfigurable optical vortex generation: a high-efficiency technique using director-varying liquid crystal fork gratings. Photon. Res., 3, 133-139(2015).

[50] M. Born, E. Wolf. Principles of Optics(1997).

[51] P. Li, Y. Zhang, S. Liu, C. Ma, L. Han, H. Cheng, J. Zhao. Generation of perfect vectorial vortex beams. Opt. Lett., 41, 10-14(2016).

[52] F. Yue, D. Wen, J. Xin, B. D. Gerardot, J. Li, X. Chen. Vector vortex beam generation with a single plasmonic metasurface. ACS Photon., 3, 1558-1563(2016).

[53] Y. Ke, Y. Liu, J. Zhou, Y. Liu, H. Luo, S. Wen. Optical integration of Pancharatnam–Berry phase lens and dynamical phase lens. Appl. Phys. Lett., 108, 101102(2016).

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